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+.\" RCSid "$Id: mkpmap.1,v 1.16 2021/04/14 11:28:36 rschregle Exp $"
+.TH MKPMAP 1 "$Date: 2021/04/14 11:28:36 $ $Revision: 1.16 $" RADIANCE
+
+.SH NAME
+mkpmap - generate RADIANCE photon map
+
+.SH SYNOPSIS
+mkpmap \fB\-apg\fR|\fB\-apc\fR|\fB\-apv\fR|\fB\-apd\fR|\fB\-app\fR|[\fB\-apC\fR|\fB\-apt\fR|\fB\-apT\fR|\fB\-apV\fR] \fIfile nphotons\fR
+.RS
+ [\fIbwidth\fR [\fIvelocity\fR]] ... [options] \fIoctree\fR
+.RE
+
+.SH DESCRIPTION
+\fIMkpmap\fR takes a RADIANCE scene description as an octree and
+performs Monte Carlo forward path tracing from the light sources,
+depositing indirect ray hitpoints along with their energy (flux) as
+"photons". The resulting localised energy distribution represents a
+global illumination solution which is written to a file for subsequent
+evaluation by \fIrpict(1), rtrace(1)\fR and \fIrvu(1)\fR in a backward
+raytracing pass. The photon map(s) can be reused for multiple viewpoints
+and sensor locations as long as the geometry remains unchanged.
+
+.SH OPTIONS
+\fIMkpmap\fR can generate different types of photon maps depending on
+the materials present in the scene. In most cases, these can be
+specified independently or in combination on the command line. If
+multiple photon maps of the same type are specified, the last instance
+takes precedence.
+
+.IP "\fB\-apg \fIfile nphotons\fR"
+Generate a global photon map containing approximately \fInphotons\fR
+photons, and output to \fIfile\fR. This accounts for all
+indirect illumination, from both specular and diffuse scattering, on
+surfaces with a diffuse component. This is the most general type of
+photon map and replaces the ambient calculation in \fIrpict(1),
+rtrace(1)\fR and \fIrvu(1)\fR.
+
+.IP "\fB\-apc \fIfile nphotons\fR"
+Generate a separate caustic photon map containing approximately
+\fInphotons\fR photons, and output to file \fIfile\fR. This is a
+subset of the global photon map intended for direct visualisation at
+primary rays, This accounts for all indirect illumination on diffuse
+surfaces from specular scattering, which usually exhibits a large
+gradient and requires a higher resolution than the global photon map,
+typically containing the tenfold number of photons.
+
+.IP "\fB\-apv \fIfile nphotons\fR"
+Generate a volume photon map containing approximately \fInphotons\fR
+photons, and output to file \fIfile\fR. These account for indirect
+inscattering in participating media such as \fBmist\fR and complement
+the direct inscattering computed by \fIrpict(1), rtrace(1)\fR and
+\fIrvu(1)\fR. See also the \fB\-me\fR, \fB\-ma\fR and \fB\-mg\fR options
+below.
+
+.IP "\fB\-apd \fIfile nphotons\fR"
+Generate a direct photon map containing approximately \fInphotons\fR
+photons, and output to file \fIfile\fR. This only accounts for direct
+illumination and is intended for debugging and validation of photon emission
+from the light sources, as the quality is too low for actual rendering.
+
+.IP "\fB\-app \fIfile nphotons bwidth\fR"
+Generate a precomputed global photon map containing a fraction of
+\fInphotons\fR photons (specified with the \fB\-apP\fR option, see
+below), and output to file \fIfile\fR. This is a special case of the
+global photon map where the irradiance is evaluated for a fraction of
+the photon positions using \fIbwidth\fR nearest photons, and stored as
+photon flux; the remaining photons are discarded as their contributions
+have been accounted for.
+
+.IP
+This obviates the explicit irradiance evaluation by \fIrpict(1),
+rtrace(1)\fR and \fIrvu(1)\fR, thus providing a speedup at the expense of
+accuracy. The resulting error is tolerable if the indirect illumination has
+a low gradient, as is usually the case with diffuse illumination.
+
+.IP "\fB\-apC \fIfile nphotons bwidth comp\fR [BUILD OPTION]"
+Generate a precomputed contribution photon map containing a fraction of
+\fInphotons\fR photons (specified with the \fB\-apP\fR option, see
+below), and output to file \fIfile\fR. Only light sources may contribute,
+and are specified via their modifier(s) with a subsequent \fB-m\fR option
+(see below). Each precomputed photon accumulates contributions from the
+\fIbwidth\fR nearest photons into bins (specified with the \fB-bn\fR option,
+see below). If \fIbwidth\fR is less than the number of bins, a warning is
+issued, since some bins will be zero.
+
+.IP
+Ideally, \fIbwidth\fR should be a multiple of the number of bins. If too
+many bins (default 50%) are still zero, a warning about an excessive empty
+bin ratio is issued, indicating potentially biased contributions, and that
+the number of photons and/or the bandwidth should be increased further.
+However, if very small contributions are indeed expected in some bins,
+this warning should be taken with a grain of salt.
+
+.IP
+Precomputed contribution photon maps can be used by \fIrcontrib(1)\fR to
+very efficiently evaluate binned light source contributions (e.g. from sky
+patches) at multiple points by looking up the single nearest precomputed
+photon. In contribution mode, \fImkpmap\fR is therefore designed to behave
+similarly to \fIrcontrib\fR. To ensure the latter obtains binning parameters consistent with those used in the precomputation, \fImkpmap\fR outputs an
+option file \fIfile.opt\fR which must be passed to \fIrcontrib\fR
+via its \fB@\fR option.
+
+.IP
+The \fIcomp\fR parameter specifies a compression ratio for the binned
+contributions in the range [0, 1], where 1 corresponds to maximum compression,
+and 0 implies no compression at all. Compression is recommended as it gives the
+user control over the size of the binned contributions, which are saved in a
+separate file for each modifier; depending on the number of photons and bins,
+these files can become very large. Note however that \fImkpmap\fR uses a
+\fBlossy\fR wavelet compression, which can introduce artefacts at
+higher compression ratios if the lighting is complex (e.g. exhibits high
+gradients). In typical scenarios, a compression ratio of 0.7-0.8 yields an
+acceptable compromise between accuracy and space savings.
+
+.IP
+With this option, \fImkpmap\fR uses a modified photon distribution
+algorithm that increases the odds that all selected light sources contribute
+approximately the same number of photons. Because of this, \fImkpmap\fR cannot generate a contribution photon map in combination with others in a single run,
+and other photon maps specified on the command line will be ignored.
+
+.IP
+\fBNOTE: This option requires out-of-core storage, which is currently not
+enabled in the default build, nor is it supported on Windows. On platforms
+that do support it, precomputed contribution photon mapping can be enabled at
+compile time with -DPMAP_OOC -DPMAP_CONTRIB.\fR
+
+.IP "\fB\-apt \fIfile nphotons velocity\fR [BUILD OPTION]"
+Generate a transient photon map with the given propagation velocity.
+This is a variant of the global photon map with the distinction that
+photons can be located in space and time. When a transient photon interacts
+with a surface, its time of flight, subject to its velocity, is recorded along with its position (technically, this is internally expressed as the photon path length to simplify the spatio-temporal distance metric used for photon
+lookups).
+
+The velocity is expressed in units of 1/sec in relation to the
+scale of the simulation geometry. For reference, the speed of light in a
+vacuum is 299792458 metres/sec (or 3e8 if you're not Stephen Hawking).
+The velocity is currently treated as constant in all media, and is
+consequently not adapted for the index of refraction in \fIdielectric\fR
+and \fIinterface\fR materials. Relativistic effects are also not accounted
+for, since Stephen Hawking doesn't use RADIANCE anyway.
+
+Transient photon maps are particularly useful to study the propagation of
+light in extreme slow motion. See also \fIrpict(1)\fR for details on how
+transient photons can be rendered at specific points in time.
+
+\fBNOTE: This option is experimental and requires in-core (kd-tree) storage,
+which is enabled in the default build; it is currently not supported with
+optional out-of-core storage (-DPMAP_OOC).
+
+.IP "\fB\-apT \fIfile nphotons velocity\fR [BUILD OPTION]"
+Generate a transient lightflow photon map. This photon map combines the
+attributes of lightflow and transient photons, i.e. transient rendering at
+arbitrary locations in a volume (requiring a participating medium). See
+options \fB\-apt\fR and \fB\-apV\fR for details.
+
+\fBNOTE: This option is experimental and requires in-core (kd-tree) storage
+and enabled photon flow. This must be enabled at compile time with
+-DPMAP_PHOTONFLOW. It is currently not supported with optional out-of-core
+storage (-DPMAP_OOC).
+
+.IP "\fB\-apV \fIfile nphotons\fR [BUILD OPTION]"
+Generate a "lightflow" photon map containing \fInphotons\fR photons. This is
+a specialised variant of the volume photon map (see the \fB-apv\fR option
+above) designed to evaluate cubic illuminance at arbitrary positions
+in space. In addition, the photon propagation in space can be visualised
+with the output of \fIpmapdump(1)\fR. Note however, that illuminance from
+lightflow is generally less accurate than using a global photon map with a dedicated virtual sensor plane in conjunction with the \fB\-apS\fR option.
+.IP
+As with regular volume photon mapping, lightflow photons require
+a participating medium in which they are deposited. Unlike regular volume
+photon mapping however, lightflow photons do not interact with the
+participating medium, and are neither scattered nor absorbed; consequently,
+the photon trajectories -- and therefore the light transport as a whole -- is
+unaffected by the participating medium.
+.IP
+Lightflow photon mapping implies an albedo and eccentricity of 1
+(corresponding to the options \fB-ma\fR and \fB-mg\fR, respectively)
+in participating media. The coefficient of extinction, which can be defined
+locally for a \fImist\fR primitive, or globally via the \fB-me\fR option, is a
+free parameter that determines the density of the deposited photons. It is
+generally desirable to keep this parameter low to minimise clustering, at the
+expense of slower photon distribution. Setting this parameter too high can
+result in excessive linear clustering of photons along their trajectories,
+leading to a "ray effect" and local bias in the evaluated illuminance (this is
+readily apparent on visual inspection with \fBpmapdump(1)\fR). This parameter
+also depends on the scale of the space in which the photons are deposited.
+.IP
+An undesirable side effect of lightflow photon mapping is that photon
+distribution may overflow, particularly in dense media with high extinction
+values. In this case, the predistribution factor (see option \fB-apD\fR)
+should be reduced accordingly. Future releases of \fImkpmap\fR may adjust
+this parameter automatically.
+.IP
+A lightflow photon map can be visualised with \fIpmapdump(1)\fR or evaluated
+as cubic illuminance with \fIrtrace(1)\fR.
+.IP
+\fBNOTE: This option is experimental and not enabled in the default build.
+It must be enabled at compile time with -DPMAP_PHOTONFLOW.\fR
+
+.IP "\fB\-apD \fIpredistrib\fR"
+Photon predistribution factor; this is the fraction of \fInphotons\fR
+which are emitted in a distribution prepass in order to estimate the
+remaining number of photons to emit in the main pass to approximately
+yield a photon map of size \fInphotons\fR.
+.IP
+Setting this too high may yield more than \fInphotons\fR in the initial pass
+with highly reflective geometry. Note that this value may exceed 1, which
+may be useful if the resulting photon map size greatly deviates from
+\fInphotons\fR with a very low average reflectance.
+
+.IP "\fB\-aph \fImod\fR"
+Defines all polygons using the material modifier \fImod\fR as part of
+a polyhedral region of interest (ROI). Photons will only be stored
+within the volume enclosed by these surfaces. Multiple instances of
+this option may be specified with cumulative effect to aggregate
+surfaces into a polyhedron. An error is issued if the identified geometry
+is not polygonal.
+This option is useful to constrain photons to only lie in relevant
+regions of a scene, but may increase the photon distribution time.
+.IP
+\fBNOTE: No check is made to ensure the polyhedron is closed and not
+degenerated (particularly due to overlapping polygons) -- this is the
+user's responsibility.\fR
+.IP
+\fBWARNING: this option is an optimisation for advanced users which may
+yield biased results outside the defined ROI. Use with caution!\fR
+
+.IP "\fB\-apH \fImodfile\fR"
+Reads modifiers comprising polyhedral regions of interest (ROIs) from
+\fImodfile\fR, separated by whitespace. This is convenient to group
+modifiers per ROI if the geometry is complex and uses multiple materials.
+See option \fB\-aph\fR above for details and caveats on using polyhedral ROIs.
+
+.IP "\fB\-api \fImin_x min_y min_z max_x max_y max_z\fR"
+Defines a rectangular region of interest (ROI) within which to store
+photons exclusively; photons will only be stored within the
+volume bounded by the given minimum and maximum coordinates. Multiple
+instances of this option may be specified with cumulative effect
+to define compound ROIs.
+This option is useful to constrain photons to only lie in relevant
+regions of a scene, but may increase the photon distribution time.
+.IP
+\fBWARNING: this option is an optimisation for advanced users which may
+yield biased results outside the defined ROI. Use with caution!\fR
+
+.IP "\fB-apI \fIpos_x pos_y pos_z rad\fR"
+Similar to \fB\-api\fR, but with a spherical region of interest of given
+radius, centred at the given coordinates.
+
+.IP "\fB\-apm \fImaxbounce\fR"
+Synonymous with \fB\-lr\fR for backwards compatibility. May be removed in
+future releases.
+
+.IP "\fB\-apM \fImaxprepass\fR"
+Maximum number of iterations of the distribution prepass before terminating
+if some photon maps are still empty. This option is rarely needed as
+an aborted prepass may indicate an anomaly in the geometry or an
+incompatibility with the specified photon map types (see \fBNOTES\fR below).
+
+.IP "\fB\-apo\fR[\fB+\fR|\fB-\fR|\fB0\fR] \fImod\fR"
+Specifies a modifier \fImod\fR to act as a \fIphoton port\fR. All
+objects using this modifier will emit photons directly in lieu of any
+light sources defined with the \fIsource\fR material. This greatly
+accelerates photon distribution in scenes where photons have to enter a
+space which separates them from the emitting light source via an
+aperture (e.g. fenestration, skylight) acting as a port.
+.IP
+In a typical daylight simulation scenario, a fenestration acts as a port to
+admit photons into an interior after emission from sky and solar sources.
+Multiple instances of this option may be specified.
+.IP
+By default, ports are oriented to emit from their front side, as defined
+by their surface normal. This can be overridden by
+specifying a trivalent suffix as follows:
+.RS
+.IP \fB+\fR:
+Forward emission; this is equivalent to the abovementioned default behaviour.
+.IP \fB-\fR:
+Backward emission; the port is reversed and photons are emitted from the
+back side.
+.IP \fB0\fR:
+Bidirectional emission; photons are emitted from both sides of the port.
+.RE
+.IP
+Some typical situations that call for a reversed photon port include, for
+example:
+.RS
+.IP (a)
+Using fenestrations as ports that were (for whatever
+reason) defined with outward facing normals,
+.IP (b)
+Using a \fBmist\fR
+primitive as a port, since this requires outward facing normals in order to
+register the photons as having entered the volume,
+.IP (c)
+Reorienting a port associated with a \fBbsdf\fR modifier, since inverting
+its normal would also reorient the BSDF and alter its behaviour.
+.RE
+.IP
+Other oddball scenarios are conceivable. If in doubt, specify a
+bidirectional port orientation for a slight performance penalty,
+as photon emission is attempted from both sides. For well-defined
+port geometry with inward-facing normals, just use the default;
+doan' mess with da normalz.
+.IP
+Photon port geometry is discretised according to the
+\fB\-dp\fR and \fB\-ds\fR options. These parameters aid in resolving
+spatially and directionally varying illuminance received by the port
+from distant light sources, e.g due to partial occlusion
+or when using climate-based sky models.
+
+.IP "\fB\-apO\fR[\fB+\fR|\fB-\fR|\fB0\fR] \fImodfile\fR"
+Read photon port modifiers from the file \fImodfile\fR as a more convenient
+alternative to multiple instances of \fB\-apo\fR. The specified orientation
+is applied to all modifiers in the file.
+
+.IP "\fB\-apP \fIprecomp\fR"
+Fraction of global or contribution photons to precompute, in the range ]0,1],
+when using the \fB\-app\fR resp. \fB-apC\fR options.
+
+.IP "\fB\-apr \fIseed\fR"
+Seed for the random number generator. This is useful for generating
+different photon distributions for the same octree and photon map size,
+notably in progressive applications.
+
+.IP "\fB\-aps\fR[\fB+\fR|\fB-\fR|\fB0\fR] \fImod\fR"
+Specifies a modifier \fImod\fR defined as \fIantimatter\fR material to act
+as a virtual (i.e. invisible) sensor surface. Photons will be deposited on
+all surfaces using this modifier, just like regular materials, but will then
+be transferred through the surface without undergoing scattering; the
+surface therefore does not affect the light transport and simply acts as an
+invisible photon receiver. Note that \fImkpmap\fR reports an error if the
+specified modifier is not an \fIantimatter\fR material.
+.IP
+This is useful when photon irradiance is to be
+evaluated at points which do not lie on regular geometry, e.g. at workplane
+height with \fIrtrace\fR's \fB-I\fR option. Without this workaround,
+photons would be collected from parallel but distant planes, leading to
+underestimation.
+.IP
+By default, virtual sensors are oriented to deposit photons incident
+from their front side, as defined by their surface normal.
+This can be overridden by specifying a trivalent suffix as follows:
+.RS
+.IP \fB+\fR:
+Forward orientation; this is equivalent to the abovementioned default
+behaviour.
+.IP \fB-\fR:
+Backward orientation; the sensor is reversed and only receives photons
+incident from the back.
+.IP \fB0\fR:
+Bidirectional orientation; the sensor receives photons from both sides.
+.RE
+
+.IP "\fB\-apS\fR[\fB+\fR|\fB-\fR|\fB0\fR] \fImodfile\fR"
+Read virtual sensor surface modifiers from the file \fImodfile\fR as a more
+convenient alternative to multiple instances of \fB\-aps\fR. The specified
+orientation is applied to all modifiers in the file.
+
+.IP "\fB\-ae \fImod\fR"
+Add \fImod\fR to the ambient exclude list, so that it will be ignored by the
+photon map. Objects having \fImod\fR as their modifier will not have
+photons deposited on them. Multiple modifiers may be given, each as separate
+instances of this option.
+.IP
+\fBWARNING: this is an optimisation option for advanced users and may yield
+biased results. It may also significantly increase photon distribution
+times. Use with caution!\fR
+
+.IP "\fB\-aE \fIfile\fR"
+Same as \fI-ae\fR, except modifiers to be exluded are read from \fIfile\fR,
+separated by whitespace. The RAYPATH environment variable determines which
+directories are searched for this file.
+
+.IP "\fB\-ai \fImod\fR"
+Add \fImod\fR to the ambient include list, so that it will contribute to the
+photon map. Only objects having \fImod\fR as their modifier will have
+photons deposited on them. Multiple modifiers may be given, each as separate
+instances of this option. Note that the ambient include and exclude options
+are mutually exclusive.
+.IP
+\fBWARNING: this is an optimisation option for advanced users and may yield
+biased results. It may also significantly increase photon distribution
+times. Use with caution!\fR
+
+.IP "\fB\-aI \fIfile\fR"
+Same as \fI-ai\fR, except modifiers to be included are read from \fIfile\fR,
+separated by whitespace. The RAYPATH environment variable determines which
+directories are searched for this file.
+
+.IP "\fB\-am \fImaxdist\fR"
+Maximum search radius for precomputed photon lookups in conjuction with the
+\fB\-app\fR or \fB\-apC\fR options. See the discussion of \fB\-am\fR in
+\fIrcontrib(1)\fR for details.
+
+.IP "\fB\-bn \fInbins\fR"
+Set the number of bins for precomputed contribution photons in conjunction
+with the \fB\-apC\fR option to\fInbins\fR. Analogous to \fIrcontrib(1)\fR,
+the bins discretise the hemisphere of incident directions of contributions
+in the vicinity of each precomputed photon. Each bin covers a range of
+incident directions using the Shirley-Chiu disk-to-square mapping, whose
+orientation can be defined with the \fB\-e\fR option.
+This mapping is hardwired for precomputed contribution photons, and cannot be
+changed. Effectively, \fInbins\fR specifies the mapping resolution.
+.IP
+The number of bins \fInbins\fR must be an integer squared, otherwise it will be
+automatically rounded to the nearest such value.
+If \fB\-bn\fR isn't specified, the default number of bins is 1, in which case
+binning is disabled, and each photon carries the integrated contributions from
+all directions. The binning is effective for the next contribution modifier
+specified with the \fB\-m\fR option (q.v.).
+.IP
+See also the discussion on binning in \fIrcontrib(1)\fR.
+
+.IP "\fB\-bv\fR[\fB+\fR|\fB-\fR]"
+Toggles backface visibility; enabling this causes photons to be stored and
+possibly scattered if they strike the back of a surface, otherwise they
+are unconditionally absorbed and discarded.
+
+.IP "\fB\-dp \fIsampleres\fR"
+Angular resolution for sampling the spatial emission distribution of a
+modified light source or photon port (e.g. via \fIbrightfunc\fR), in samples
+per steradian.
+This is required to numerically integrate the flux emitted by the light
+source and construct a probability density function for photon emission.
+The accuracy of photon emission from a modified source or port
+therefore depends on this parameter. The resolution may need to be increased
+with complex emission distributions in combination with caustics.
+
+.IP "\fB\-ds \fIpartsize\fR"
+Light source partition size ratio; a local light source object (or photon
+port in case of a distant source) is spatially partitioned to distribute the
+photon emission over its surface. This parameter specifies the ratio of the
+size (per dimension) of each partition to the scene cube, and may need
+to be reduced for modified light sources (e.g. via \fIbrightfunc\fR) with
+high spatial variance, or for partially occluded photon ports.
+
+.IP "\fB\-e \fIexpr\fR"
+Parse expression \fIexpr\fR to globally initialise binning variables for all
+contribution modifiers in conjunction with the \fB\-apC\fR option. For a list
+of relevant variables, see option \fB\-p\fR below.
+
+.IP "\fB\-ef \fIfile\fR"
+Redirect diagnostics and progress reports to \fIfile\fR instead of the
+console.
+
+.IP "\fB\-fo\fR[\fB+\fR|\fB-\fR]"
+Toggles overwriting of output files. By default, \fImkpmap\fR will not
+overwrite an already existing photon map file. This is to prevent
+inadvertently destroying the results of potentially lengthy photon
+mapping runs.
+
+.IP "\fB\-ld \fImaxdist\fR"
+Limit cumulative distance travelled by a photon along its path to
+\fImaxdist\fR. Photon hits within this distance will be stored, and the
+photon is terminated once its path length exceeds this limit. This is
+useful for setting radial regions of interest around emitting/reflecting
+geometry, but may increase the photon distribution time.
+.IP
+\fBWARNING: this is an optimisation option for advanced users (an elite
+group collectively known as \fIZe Ekspertz\fB) and may yield biased results.
+Use with caution!\fR
+
+.IP "\fB\-lr \fImaxbounce\fR"
+Limit number of bounces (scattering events) along a photon path to
+\fImaxbounce\fR before being considered "runaway" and terminated. Photons
+paths are normally terminated via \fIRussian Roulette\fR, depending on their
+albedo. With unrealistically high albedos, this is not guaranteed, and this
+option imposes a hard limit to avoid an infinite loop.
+.IP
+\fBWARNING: this is an optimisation option for advanced users (an elite
+group collectively known as \fIZe Ekspertz\fB) and may yield biased results.
+Use with caution!\fR
+
+.IP "\fB\-m \fImod\fR"
+Include modifier \fImod\fR in the precomputed contribution photon
+map in conjunction with the \fB\-apC\fR option. This must be a light
+source modifier, as photons can only carry contributions from their
+emitting light sources; an error is issued if this is not the case.
+The most recent binning options \fB\-bn\fR
+and \fB\-p\fR apply to this modifier, and can be individually
+specified for subsequent modifiers.
+
+.IP "\fB\-M \fImodfile\fR"
+Similar to \fB\-m\fR, but load a list of contribution modifiers from
+\fImodfile\fR. The most recent instances of binning parameters \fI\-bn\fR
+and \fI\-p\fR are applied to all modifiers.
+
+.IP "\fB\-ma \fIralb galb balb\fR"
+Set the global scattering albedo for participating media in conjunction
+with the \fB\-apv\fR option. See \fIrpict(1)\fR for details.
+
+.IP "\fB\-me \fIrext gext bext\fR"
+Set the global extinction coefficient for participating media in conjunction
+with the \fB\-apv\fR option. See \fIrpict(1)\fR for details.
+
+.IP "\fB\-mg \fIgecc\fR"
+Set the global scattering eccentricity for participating media in conjunction
+with the \fB\-apv\fR option. See \fIrpict(1)\fR for details.
+
+.IP "\fB\-n \fInproc\fR"
+Use \fInproc\fR processes for parallel photon distribution. There is no
+benefit in specifying more than the number of physical CPU cores available
+(so doan' even try). This option is currently not available on Windows --
+tuff luck.
+
+.IP "\fB\-p \fI\fR"
+Define per-modifier parameters \var{var_1\fIexpr\fR for the
+Shirley-Chiu mapping used to bin precomputed contribution photons in
+conjunction with the \fB\-apC\fR option. These parameters apply to the next
+contribution modifier specified with the \fB\-m\fR option, and can be
+individually redefined for subsequent modifiers. The companion option
+\fB\-e\fR can be used to set global parameters for all modifiers.
+The following variables can be set to define the mapping orientation:
+.RS
+.IP \fIRHS\fR:
+1 for right-handed coordinate system (default), -1 for left-handed.
+.IP "\fIrNx, rNy, rNz\fR":
+surface normal (defines theta = 0, default [0, 0, 1])
+.IP "\fIUx, Uy, Uz\fR":
+up vector (defines phi = 0, default [0, 1, 0])
+.RE
+.IP
+See also this option's discussion in \fIrcontrib(1)\fR.
+
+.IP "\fB\-t \fIinterval\fR"
+Output a progress report every \fIinterval\fR seconds. This includes
+statistics about the currently emitting light source (including number of
+partitions), the total number of photons emitted, the number of each type
+stored, the percentage of the completed pass (pre or main), and the elapsed
+time.
+
+.IP \fB\-v\fR[\fB+\fR|\fB-\fR]\fR
+Boolean option to control \fImkpmap\fR's console output. If disabled (the
+default), the output is terse, except for warnings and errors. If enabled,
+the output is verbose, and includes information on distribution prepasses,
+photon ports, and light source partitioning. Verbose mode can generate
+excessive chatter and should only be used for diagnostic purposes,
+for example if \fImkpmap\fR seemingly hangs (which can happen if many
+light source partitions need to be processed).
+It is a good idea to redirect verbose output with the \fB\-ef\fR option,
+since excessive console output will actually slow \fImkpmap\fR down.
+
+.IP "\fB\-V\fR[\fB+\fR|\fB-\fR]\fR"
+Boolean option to precompute contributions (enabled) or
+normalised coefficients (disabled, the default) in conjunction
+with the \fB\-apC\fR option.
+See also this option's discussion in \fIrcontrib(1)\fR.
+
+.SH NOTES
+
+.SS Parametrisation
+\fIMkpmap\fR recognises multiplier suffixes (k = 1000, m = 1000000) to
+facilitate the specification of \fInphotons\fR, both in upper and lower
+case.
+.PP
+
+.SS Distribution Algorithm
+The photon distribution algorithm estimates the number of required
+photons to emit to arrive at the specified target count \fInphotons\fR
+per photon map using a distribution prepass followed by a main pass.
+As a result, \fImkpmap\fR generates the \fBapproximate\fR number of photons
+specified, which can vary by up to 10% for typical scenes, but can be
+higher for scenes with unusually high or low reflectance. In this case,
+the predistribution factor \fB\-apD\fR should be increased for scenes
+with low reflectance, and reduced for those with high reflectance.
+.PP
+There are situations which may prevent certain (or any)
+photon types from being generated, depending on the light source and material
+configuration. This typically occurs when attempting to generate a caustic
+photon map without specular materials present in the scene, or a volume
+photon map without participating media. Ill-configured light sources may also
+prevent indirect rays from reaching a surface, and thus no photons being
+deposited. In these cases, \fImkpmap\fR will make a number of distribution
+attempts before terminating with an error. This can be adjusted with the
+\fB\-apM\fR option.
+
+.SS Material Support
+Not all materials are fully supported by the photon map extension. The
+\fIplasfunc\fR, \fImetfunc\fR, \fItransfunc\fR, \fIplasdata\fR,
+\fImetdata\fR and \fItransdata\fR materials currently only scatter photons
+diffusely, and will not produce caustics. The \fIbrtdfunc\fR material only
+produces caustics via ideal (mirror) specular reflection and transmission.
+For more realistic scattering behaviour, use the newer \fIbsdf\fR material
+instead.
+.PP
+Virtual light sources (normally enabled with the \fImirror\fR material) are
+disabled with the photon map, as the resulting caustics are already accounted
+for.
+
+.SS Virtual Receiver Surfaces
+Since photons are generally surface bound, the density estimate is only
+asymptotically correct when performed at points which lie on the scene
+geometry (unless lightflow photons are used, see option \fB\-apV\fR).
+The irradiance is underestimated for arbitrarily placed points when photons
+are collected from distant surfaces. \fIMkpmap\fR offers a workaround with a
+virtual receiver surface using the \fIantimatter\fR material; see the \fB-aps\fR
+and \fB-apS\fR options for details.
+
+.SH EXAMPLES
+The following command generates a global photon map \fIbonzo.gpm\fR and a
+caustic photon map \fIbonzo.cpm\fR containing approximately 10000 and 100000
+photons, respectively, with progress report every 5 seconds:
+.IP
+mkpmap \-apg bonzo.gpm 10k \-apc bonzo.cpm 100k -t 5 bonzo.oct
+.PP
+Generate a global photon map containing 80000 photons, then precompute the
+diffuse irradiance for 1/4 of these with a bandwidth of 40 photons:
+.IP
+mkpmap \-app bonzo-precomp.gpm 80k 40 \-apP 0.25 bonzo.oct
+
+.PP
+Generate 10 million contribution photons from all light sources with modifier
+\fIbonzoLite\fR, precompute 1 million of these by accumulating the
+contributions from the 2600 nearest photons into 256 bins, and compress them
+by 75%. Then accumulate these precomputed contributions for a grid of sensor
+positions in \fIrcontrib\fR. Note that the relevant binning parameters and
+modifiers are passed via the option file \fIbonzo-contrib.Cpm.opt\fR:
+.IP
+mkpmap \-apC bonzo-contrib.Cpm 10m 2600 0.75 \-apP 0.1 \-bn 256
+\-m bonzoLite \-V+ bonzo.oct
+.IP
+rcontrib \-ap bonzo-contrib.Cpm \-o %s.dat @bonzo-contrib.Cpm.opt
+bonzo.oct < sensors.pos
+
+.PP
+Generate 10 million transient photons travelling at the approximate
+speed of light (in m/s, assuming the geometry in bonzo.oct is in the same
+units):
+.IP
+mkpmap \-apt bonzo-trans.tpm 10m 3e8 bonzo.oct
+.PP
+Generate 25 million "light flow" photons in a global participating medium with
+extinction 0.001 (note reduced predistribution factor to prevent overflow):
+.IP
+mkpmap \-apV bonzo-lflo.Vpm 25m \-apD .001 \-me .001 .001 .001 bonzo.oct
+
+.SH BUGS
+The focus of a spotlight source, as defined by the length of its direction
+vector, is ignored by the photon map; photons are unconditionally emitted
+from the light source surface, which can lead to deviations from standard
+RADIANCE.
+.PP
+Light sources simply absorb incoming photons.
+.PP
+Light sources and photon ports consisting of arbitrary polygons are poorly
+supported by \fImkpmap\fR, and (inefficiently) rejection sampled. This may
+result in significantly fewer photons than specified, but no significant bias.
+It is recommended to use triangulated or quadilateral geometry.
+.PP
+The current transient photon map implementation makes simplifying assumptions;
+the photon velocity is treated as constant in all media, and is consequently
+not adapted for the index of refraction in \fIdielectric\fR and \fIinterface\fR
+materials. Relativistic effects are also not considered.
+
+.SH AUTHOR
+Roland Schregle (roland.schregle@{hslu.ch, gmail.com})
+
+.SH COPYRIGHT
+(c) Fraunhofer Institute for Solar Energy Systems,
+.br
+(c) Lucerne University of Applied Sciences and Arts (Hochschule Luzern),
+.br
+(c) Tokyo University of Science.
+
+.SH ACKNOWLEDGEMENTS
+Development of the RADIANCE photon mapping extension was supported by:
+
+.RS
+\fIFraunhofer Institute for Solar Energy Systems\fR funded by
+the German Research Foundation (\fIDFG LU-204/10-2\fR: "Fassadenintegrierte
+Regelsysteme (FARESYS)"),
+
+\fILucerne University of Applied Sciences and Arts (Hochschule Luzern)\fR
+funded by the Swiss National Science Foundation (\fISNSF 147053\fR: "Daylight
+redirecting components" and \fISNSF 179067\fR: "Lightfields for spatio-temporal glare assessment"),
+
+\fITokyo University of Science\fR funded by the JSPS Grants-in-Aid for Scientific
+Research Programme (\fIKAKENHI JP19KK0115\fR: "Three-dimensional light flow in architectural spaces") under the supervision of Prof. Nozomu Yoshizawa.
+.RE
+
+In particular, the author thanks Prof. Stephen Wittkopf and Dr. Lars Grobe
+for resuming development at Hochschule Luzern, and Prof. Nozomu Yoshizawa
+for the opportunity to collaborate with the Tokyo University of Science.
+Many thanks also to the many individuals who tested the code and provided
+valuable feedback. Special greetz to Don Gregorio, PAB and Capt.\~B!
+
+.SH "SEE ALSO"
+rpict(1), rtrace(1), rvu(1), rcontrib(1),
+.br
+\fIThe RADIANCE Photon Map Manual\fR,
+.br
+\fIDevelopment and Integration of the RADIANCE Photon Map Extension:
+Technical Report\fR,
+.br
+\fIThe RADIANCE Out-of-Core Photon Map: Technical Report\fR,
+.br
+\fIBonzo Daylighting Tool a.k.a. EvilDRC [TM]\fR
+
diff --git a/man/pmapdump.1 b/man/pmapdump.1
new file mode 100644
index 0000000..9999457
--- /dev/null
+++ b/man/pmapdump.1
@@ -0,0 +1,208 @@
+.\" RCSid "$Id: pmapdump.1,v 1.9 2020/08/07 01:26:20 rschregle Exp $"
+.TH PMAPDUMP 1 "$Date: 2020/08/07 01:26:20 $ $Revision: 1.9 $" RADIANCE
+
+.SH NAME
+pmapdump - generate RADIANCE scene description or point list representing
+photon positions and (optionally) flux
+
+.SH SYNOPSIS
+pmapdump [\fB-a\fR [\fB-N\fR] [\fB-A\fR]] [\fB-n\fR \fInum1\fR]
+[\fB-r\fR \fIradscale1\fR]
+.RS
+[\fB-f\fR [\fB-O\fR \fInorm1\fR]] |
+[\fB-c\fR \fIrcol1\fR \fIgcol1\fR \fIbcol1\fR] \fIpmap1\fR
+.br
+[\fB-a\fR [\fB-N\fR] [\fB-A\fR]] [\fB-n\fR \fInum2\fR]
+[\fB-r\fR \fIradscale2\fR]
+.br
+[\fB-f\fR [\fB-O\fR \fInorm2\fR]] |
+[\fB-c\fR \fIrcol2\fR \fIgcol2\fR \fIbcol2\fR] \fIpmap2\fR ...
+.RE
+
+.SH DESCRIPTION
+\fIpmapdump\fR takes one or more photon map files generated with
+\fImkpmap(1)\fR as input and, by default, sends a RADIANCE scene description
+of their photon distributions to the standard output. Photons are
+represented as spheres of material type \fIglow\fR. These can be
+visualised with e.g. \fIobjview(1)\fR, \fIrpict(1)\fR, or \fIrvu(1)\fR to
+assess the location and local density of photons in relation to the scene
+geometry. No additional light sources are necessary, as the spheres
+representing the photons are self-luminous.
+.PP
+Alternatively, photons can also be output as an ASCII point list, where
+each line contains a photon's position and colour.
+This point list can be imported in a 3D point cloud processor/viewer
+to interactively explore the photon map.
+.PP
+An arbitrary number of photon maps can be specified on the command line and
+the respective photon type is determined automagically. Per default, the
+different photon types are visualised as colour coded spheres/points
+according to the following default schema:
+.IP
+\fIBlue\fR: global photons
+.br
+\fICyan\fR: precomputed global photons
+.br
+\fIRed\fR: caustic photons
+.br
+\fIGreen\fR: volume photons
+.br
+\fIMagenta\fR: direct photons
+.br
+\fIYellow\fR: contribution photons
+.PP
+These colours can be overridden for individual photon maps with the \fB-c\fR
+option (see below). Alternatively, photons can be individually coloured
+according to their actual RGB flux with the \fB-f\fR option (see below);
+while this makes it difficult to discern photon types, it can be used to
+quantitatively analyse colour bleeding effects, for example.
+
+.SH OPTIONS
+Options are effective for the photon map file immediately following on the
+command line, and are reset to their defaults after completion of each dump.
+As such they must be set individually for each photon map.
+
+.IP "\fB-a\fR[\fB+\fR|\fB-\fR]"
+Boolean switch to output photons as a point list in ASCII (text) format
+instead of a RADIANCE scene.
+Each output line consists of 6 tab-separated floating point values: the
+X, Y, Z coordinates of the photon's position, and the R, G, B colour
+channels of its flux. These values. notably the flux, are expressed in
+scientific notation if necessary to accommodate their high dynamic range.
+.IP
+As \fIpmapdump\fR groups its options per photon map, this option must be
+specified per photon map for consistent output. This prevents erroneously
+dumping RADIANCE scene descriptions along with point lists, which will
+fail to load in the 3D point cloud processor/viewer.
+
+.IP "\fB-A\fR[\fB+\fR|\fB-\fR]"
+Boolean switch to also output type-specific auxiliary data embedded in the
+photon in conjunction with option \fB-a\fR. For most photon types this is
+the unique path ID. Path IDs consist of a numeric prefix N and suffix M,
+and are formatted as N:M.
+
+.IP "\fB-c\fR \fIrcol\fR \fIgcol\fR \fIbcol\fR"
+Specifies a custom sphere/point colour for the next photon map. The colour
+is specified as an RGB triplet, with each component in the range (0..1].
+Without this option, the default colour for the corresponding photon type
+is used. This option is mutually exclusive with \fB-f\fR.
+
+.IP "\fB-f\fR[\fB+\fR|\fB-\fR]"
+Boolean switch to colour each sphere/point according to the corresponding
+photon's RGB flux instead of a constant colour. The flux is adjusted for
+the fraction of dumped photons to maintain the total flux contained in the
+dumped photon map. Note that no exposure is applied, and as such the
+resulting colours can span several orders of magnitude and may require tone
+mapping with \fIpcond(1)\fR or normalisation with option \fB-O\fR (see below)
+for visualisation. This option is mutually exclusive with \fB-c\fR.
+
+.IP "\fB-n \fInum\fR"
+Specifies the number of spheres or points to dump for the next photon map.
+The dump is performed by random sampling with \fInum\fR as target count,
+hence the number actually output will be approximate. \fINum\fR may be
+suffixed by a case-insensitive multiplier for convenience, where
+\fIk\fR = 10^3 and \fIm\fR = 10^6, although the latter may lead to problems
+when processing the output geometry with \fIoconv(1)\fR. The default number
+is 10k.
+
+.IP "\fB-N\fR[\fB+\fR|\fB-\fR]"
+Boolean switch to also output photon normals in conjunction with option
+\fB-a\fR . In case of a volume or lightflow photon map, this option will
+output the photon's direction.
+
+.IP "\fB-O \fInorm\fR"
+Normalise photon flux to the given value. This limits the
+maximum flux in any colour channel to \fInorm\fR, which is useful for
+postprocessing and visualising the photon flux within a predetermined range.
+This option is only valid in conjuction with the \fB-f\fR option.
+
+.IP "\fB-P\fR[\fB+\fR|\fB-\fR]"
+Boolean option to output photon path IDs in text format. This option is
+equivalent to \fB-A\fR and kept for backwards compatibility only.
+
+.IP "\fB-r \fIradscale\fR"
+Specifies a relative scale factor \fIradscale\fR for the sphere radius. The
+sphere radius is determined automatically from an estimated average distance
+between spheres so as to reduce clustering, assuming a uniform distribution.
+In cases where the distribution is substantially nonuniform (e.g. highly
+localised caustics) the radius can be manually corrected with this option.
+The default value is 1.0. This option is ignored for point list output
+in conjuction with \fB-a\fR.
+
+.SH NOTES
+The RADIANCE scene output may contain many overlapping spheres in areas with
+high photon density, particularly in caustics. This results in inefficient
+and slow octree generation with \fIoconv(1)\fR. Generally this can be
+improved by reducing \fInum\fR and/or \fIradscale\fR.
+
+.SH EXAMPLES
+Visualise the distribution of global and caustic photons superimposed
+on the scene geometry with 5000 pale red and 10000 pale blue spheres,
+respectively:
+.IP
+pmapdump -n 5k -c 1 0.4 0.4 global.pm -n 10k -c 0.4 0.4 1 caustic.pm |
+oconv - scene.rad > scene_pm.oct
+.PP
+Visualise the caustic photon distribution superimposed on the scene geometry
+with 10000 spheres coloured according to the photons' respective RGB flux:
+.IP
+pmapdump -n 10k -f caustic.pm | oconv - scene.rad > scene_pm.oct
+.PP
+But Capt. B wants 'em bigger:
+.IP
+pmapdump -r 4.0 bonzo.pm > bonzo_bigballz.rad
+.PP
+RADIANCE scene dumps may also be viewed on their own by simply piping the
+output of \fIpmapdump\fR directly into \fIobjview(1)\fR (using the default
+number of spheres in this example):
+.IP
+pmapdump zombo.pm | objview
+.PP
+Instead of a RADIANCE scene, dump photons as a (really long) point list to
+an ASCII file for import into a 3D point cloud processor/viewer:
+.IP
+pmapdump -a -f -n 1m lotsa.pm > lotsa_pointz.txt
+
+.SH AUTHOR
+Roland Schregle (roland.schregle@{hslu.ch,gmail.com})
+
+.SH COPYRIGHT
+(c) Fraunhofer Institute for Solar Energy Systems,
+.br
+(c) Lucerne University of Applied Sciences and Arts,
+.br
+(c) Tokyo University of Science.
+
+.SH ACKNOWLEDGEMENTS
+Development of the RADIANCE photon mapping extension was supported by:
+
+.RS
+\fIFraunhofer Institute for Solar Energy Systems\fR
+funded by
+the German Research Foundation (\fIDFG LU-204/10-2\fR, "Fassadenintegrierte
+Regelsysteme (FARESYS)"),
+
+\fILucerne University of Applied Sciences and Arts\fR
+funded by
+the Swiss National Science Foundation (\fISNSF 147053\fR, "Daylight redirecting components"),
+
+\fITokyo University of Science\fR
+funded by the JSPS Grants-in-Aid for Scientific
+Research Programme (\fIKAKENHI JP19KK0115\fR, "Three-dimensional light flow").
+.RE
+
+Many thanks also to the many individuals who tested the code and provided
+valuable feedback. Special greetz to Don Gregorio, PAB and Capt.\~B!
+
+.SH "SEE ALSO"
+mkpmap(1), objview(1), oconv(1), rpict(1), rvu(1),
+.br
+\fIThe RADIANCE Photon Map Manual\fR,
+.br
+\fIDevelopment and Integration of the RADIANCE Photon Map Extension:
+Technical Report\fR,
+.br
+\fIThe RADIANCE Out-of-Core Photon Map: Technical Report\fR,
+.br
+\fIBonzo Daylighting Tool a.k.a. EvilDRC [TM]\fR
+
diff --git a/man/rcontrib.1 b/man/rcontrib.1
new file mode 100644
index 0000000..6fcd725
--- /dev/null
+++ b/man/rcontrib.1
@@ -0,0 +1,383 @@
+.\" RCSid "$Id: rcontrib.1,v 1.17 2020/03/14 16:25:46 greg Exp $"
+.TH RCONTRIB 1 5/25/05 RADIANCE
+.SH NAME
+rcontrib - compute contribution coefficients in a RADIANCE scene
+.SH SYNOPSIS
+.B rcontrib
+[
+.B "\-n nprocs"
+][
+.B \-V
+][
+.B "\-c count"
+][
+.B \-fo
+|
+.B \-r
+][
+.B "\-e expr"
+][
+.B "\-f source"
+][
+.B "\-o ospec"
+][
+.B "\-p p1=V1,p2=V2"
+][
+.B "\-b binv"
+][
+.B "\-bn nbins"
+]
+{
+.B "\-m mod | \-M file"
+}
+..
+[
+.B $EVAR
+]
+[
+.B @file
+]
+[
+rtrace options
+]
+.B octree
+.br
+.B "rcontrib [ options ] \-defaults"
+.SH DESCRIPTION
+.I Rcontrib
+computes ray coefficients
+for objects whose modifiers are named in one or more
+.I \-m
+settings.
+These modifiers are usually materials associated with
+light sources or sky domes, and must directly modify some geometric
+primitives to be considered in the output.
+A modifier list may also be read from a file using the
+.I \-M
+option.
+The RAYPATH environment variable determines directories to search for
+this file.
+(No search takes place if a file name begins with a '.', '/' or '~'
+character.)\0
+.PP
+If the
+.I \-n
+option is specified with a value greater than 1, multiple
+processes will be used to accelerate computation on a shared
+memory machine.
+Note that there is no benefit to using more processes
+than there are local CPUs available to do the work, and the
+.I rcontrib
+process itself may use a considerable amount of CPU time.
+.PP
+By setting the boolean
+.I \-V
+option, you may instruct
+.I rcontrib
+to report the contribution from each material rather than the ray
+coefficient.
+This is particularly useful for light sources with directional output
+distributions, whose value would otherwise be lost in the shuffle.
+With the default
+.I -V-
+setting, the output of rcontrib is a coefficient that must be multiplied
+by the radiance of each material to arrive at a final contribution.
+This is more convenient for computing daylight coefficeints, or cases
+where the actual radiance is not desired.
+Use the
+.I -V+
+setting when you wish to simply sum together contributions
+(with possible adjustment factors) to obtain a final radiance value.
+Combined with the
+.I \-i
+or
+.I \-I
+option, irradiance contributions are reported by
+.I \-V+
+rather than radiance, and
+.I \-V-
+coefficients contain an additonal factor of PI.
+.PP
+The
+.I \-c
+option tells
+.I rcontrib
+how many rays to accumulate for each record.
+The default value is one, meaning a full record will be produced for
+each input ray.
+For values greater than one, contributions will be averaged together
+over the given number of input rays.
+If set to zero, only a single record will be produced at the very
+end, corresponding to the sum of all rays given on the input
+(rather than the average).
+This is equivalent to passing all the output records through a program like
+.I total(1)
+to sum RGB values together, but is much more efficient.
+Using this option, it is possible to reverse sampling, sending rays from
+a parallel source such as the sun to a diffuse surface, for example.
+Note that output flushing via zero-direction rays is disabled with
+.I \-c
+set to zero.
+.PP
+The output of
+.I rcontrib
+has many potential uses.
+Source contributions can be used as components in linear combination to
+reproduce any desired variation, e.g., simulating lighting controls or
+changing sky conditions via daylight coefficients.
+More generally,
+.I rcontrib
+can be used to compute arbitrary input-output relationships in optical
+systems, such as luminaires, light pipes, and shading devices.
+.PP
+.I Rcontrib
+sends the accumulated rays tallies
+to one or more destinations according to the given
+.I \-o
+specification.
+If a destination begins with an exclamation mark ('!'), then
+a pipe is opened to a command and data is sent to its standard input.
+Otherwise, the destination is treated as a file.
+An existing file of the same name will not be clobbered, unless the
+.I \-fo
+option is given.
+If instead the
+.I \-r
+option is specified, data recovery is attempted on existing files.
+(If
+.I "\-c 0"
+is used together with the
+.I \-r
+option, existing files are read in and new ray evaluations are added
+to the previous results, providing a convenient means for
+progressive simulation.)\0
+If an output specification contains a "%s" format, this will be
+replaced by the modifier name.
+The
+.I \-b
+option may be used to further define
+a "bin number" within each object if finer resolution is needed, and
+this will be applied to a "%d" format in the output file
+specification if present.
+(The final integer will be offset incrementally
+if the output is a RADIANCE picture and more than one modifier has
+the same format specification.)\0
+The actual bin number is computed at run time based on ray direction
+and surface intersection, as described below.
+The number of bins must be specified in advance with the
+.I \-bn
+option, and this is critical for output files containing multiple values
+per record.
+A variable or constant name may be given for this parameter if
+it has been defined via a previous
+.I \-f
+or
+.I \-e
+option.
+Since bin numbers start from zero, the bin count is always equal to
+the last bin plus one.
+The most recent
+.I \-p,
+.I \-b,
+.I \-bn
+and
+.I \-o
+options to the left of each
+.I \-m
+setting are the ones used for that modifier.
+The ordering of other options is unimportant, except for
+.I \-x
+and
+.I \-y
+if the
+.I \-c
+is zero, when they control the resolution string
+produced in the corresponding output.
+.PP
+If a
+.I \-b
+expression is defined for a particular modifier,
+the bin number will be evaluated at run time for each
+ray contribution.
+Specifically, each ray's world intersection point will be assigned to
+the variables Px, Py, and Pz, and the normalized ray direction
+will be assigned to Dx, Dy, and Dz.
+These parameters may be combined with definitions given in
+.I \-e
+arguments and files read using the
+.I \-f
+option.
+Additional parameter values that apply only to this modifier may be specified
+with a
+.I \-p
+option, which contains a list of variable names and assigned values, separated
+by commas, colons, or semicolons.
+The computed bin value will be
+rounded to the nearest whole number.
+(Negative bin values will be silently ignored.)\0
+For a single bin, you may specify
+.I "\-b 0",
+which is the default.
+This mechanism allows the user to define precise regions or directions
+they wish to accumulate, such as the Tregenza sky discretization,
+which would be otherwise impossible to specify
+as a set of RADIANCE primitives.
+The rules and predefined functions available for these expressions are
+described in the
+.I rcalc(1)
+man page.
+Like
+.I rcalc,
+.I rcontrib
+will search the RADIANCE library directories for each file given in a
+.I \-f
+option.
+.PP
+If no
+.I \-o
+specification is given, results are written on the standard output in order
+of modifier (as given on the command line) then bin number.
+Concatenated data is also sent to a single destination (i.e., an initial
+.I \-o
+specification without formatting strings).
+If a "%s" format appears but no "%d" in the
+.I \-o
+specification, then each modifier will have its own output file, with
+multiple values per record in the case of a non-zero
+.I \-b
+definition.
+If a "%d" format appears but no "%s", then each bin will get its own
+output file, with modifiers output in order in each record.
+For text output, each RGB coefficient triple is separated by a tab,
+with a newline at the end of each ray record.
+For binary output formats, there is no such delimiter to mark
+the end of each record.
+.PP
+Input and output format defaults to plain text, where each ray's
+origin and direction (6 real values) are given on input,
+and one line is produced per output file per ray.
+Alternative data representations may be specified by the
+.I \-f[io]
+option, which is described in the
+.I rtrace
+man page along with the associated
+.I \-x
+and
+.I \-y
+resolution settings.
+In particular, the color ('c') output data representation
+together with positive dimensions for
+.I \-x
+and
+.I \-y
+will produce an uncompressed RADIANCE picture,
+suitable for manipulation with
+.I pcomb(1)
+and related tools.
+.PP
+Options may be given on the command line and/or read from the
+environment and/or read from a file.
+A command argument beginning with a dollar sign ('$') is immediately
+replaced by the contents of the given environment variable.
+A command argument beginning with an at sign ('@') is immediately
+replaced by the contents of the given file.
+.PP
+.I Rcontrib
+supports precomputed contributions from photon maps generated
+by
+.I mkpmap(1)
+with its
+.I \-apC
+option. In photon mapping mode,
+.I rcontrib
+only supports contributions from light sources specified with
+.I \-m,
+not arbitrary modifiers. An error is issued if the photon map contains no
+contributions for a specified modifier.
+.PP
+Photon mapping with
+.I rcontrib
+is enabled with the
+.I \-ap
+option, and accepts the relevant settings described in
+.I rtrace(1).
+However, since the contributions are precomputed, the photon density
+estimate bandwidth is irrelevant (and ignored). The contributions are
+instead accumulated from the single nearest photon at each specified sensor
+position, in the predetermined number of bins, using a Shirley-Chiu mapping.
+If the photon map contains precomputed contributions as opposed to
+coefficients (toggled via the
+.I \-V
+option), this setting will be automatically overriden in
+.I rcontrib,
+accompanied by a corresponding warning.
+.PP
+The binning parameters passed to
+.I rcontrib
+must agree with those used to generate the photon map. This is
+necessary in particular to correctly bin primary and specular rays incident
+on sensors, as these are not precomputed by the photon map. Consequently,
+.I mkpmap
+dumps its relevant binning parameters and modifiers to an option file,
+named after the photon map with an
+.I .opt
+suffix. This file must be passed to
+.I rcontrib
+via its '@' option (see above) to ensure its binning is consistent with
+that of the precomputed contributions in the photon map.
+.I rcontrib
+will report an error if the bin count (defaulting to 1) doesn't
+match the photon map's, and suggest using the option file. When using the
+option file, it is not necessary to specify the modifiers with the
+.I -m
+option, as these are already included in the file. The user may edit the
+option file to set per-modifier output streams if necessary.
+.SH EXAMPLES
+To compute the proportional contributions from sources modified
+by "light1" vs. "light2" on a set of illuminance values:
+.IP "" .2i
+rcontrib \-I+ @render.opt \-o c_%s.dat \-m light1 \-m light2 scene.oct < test.dat
+.PP
+To generate a pair of images corresponding to these two lights'
+contributions:
+.IP "" .2i
+vwrays \-ff \-x 1024 \-y 1024 \-vf best.vf |
+rcontrib \-ffc `vwrays \-d \-x 1024 \-y 1024 \-vf best.vf`
+@render.opt \-o c_%s.hdr \-m light1 \-m light2 scene.oct
+.PP
+These images may then be recombined using the desired outputs
+of light1 and light2:
+.IP "" .2i
+pcomb \-c 100 90 75 c_light1.hdr \-c 50 55 57 c_light2.hdr > combined.hdr
+.PP
+To compute an array of illuminance contributions according to a Tregenza sky:
+.IP "" .2i
+rcontrib \-I+ \-f tregenza.cal \-b tbin \-bn Ntbins \-o sky.dat \-m skyglow
+\-b 0 \-o ground.dat \-m groundglow @render.opt scene.oct < test.dat
+.PP
+To obtain illuminance contributions from light source modifiers grumpySky,
+in 8*8=256 bins, and happySun, in 48*48=2304 bins, from a precomputed
+photon map grumpyHappy.Cpm with 80% lossy compression (note the option
+file passed to
+.I rcontrib
+via '@'):
+.IP "" .2i
+mkpmap -apC grumpyHappy.Cpm 64M 3200 0.8 \-bn 256 \-m grumpySky
+\-bn 2304 \-m happySun \-V+ scene.oct
+.IP "" .2i
+rcontrib -ap grumpyHappy.Cpm \-I+ \-o c_%s.dat @grumpyHappy.Cpm.opt
+scene.oct < sensors.pos.
+.SH ENVIRONMENT
+RAYPATH path to search for \-f and \-M files
+.SH BUGS
+We do not currently compute contributions or coefficients properly
+in scenes with participating media.
+A single warning will be issued if a scattering or absorbing medium
+is detected.
+.SH AUTHOR
+Greg Ward
+.SH "SEE ALSO"
+cnt(1), genklemsamp(1), getinfo(1), mkpmap(1), pcomb(1), pfilt(1),
+ra_rgbe(1), rcalc(1), rfluxmtx(1), rmtxop(1), rpict(1), rsensor(1),
+rtrace(1), total(1), vwrays(1), ximage(1)
+
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+ <g transform="translate(829.7,723.0)" style="stroke:none; fill:black; font-family:Arial; font-size:24.00pt; text-anchor:middle">
+ <text><tspan> 2.5</tspan>
+ </text>
+ </g>
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+ <g transform="translate(965.3,723.0)" style="stroke:none; fill:black; font-family:Arial; font-size:24.00pt; text-anchor:middle">
+ <text><tspan> 3</tspan>
+ </text>
+ </g>
+</g>
+<g style="fill:none; color:gray; stroke:currentColor; stroke-width:1.00; stroke-linecap:butt; stroke-linejoin:miter">
+ <path d='M151.6,352.3 L965.3,352.3 M151.6,678.0 L151.6,108.0 '></path>
+</g>
+<g style="fill:none; color:black; stroke:currentColor; stroke-width:1.00; stroke-linecap:butt; stroke-linejoin:miter">
+ <path d='M151.6,108.0 L151.6,678.0 L965.3,678.0 L965.3,108.0 L151.6,108.0 Z '></path>
+ <g transform="translate(558.4,63.0)" style="stroke:none; fill:black; font-family:Arial; font-size:24.00pt; text-anchor:middle">
+ <text><tspan>Daubechies 4 tap wavelet</tspan>
+ </text>
+ </g>
+</g>
+<g style="fill:none; color:black; stroke:currentColor; stroke-width:3.00; stroke-linecap:butt; stroke-linejoin:miter">
+</g>
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+ <text><tspan>scaling function</tspan>
+ </text>
+ </g>
+</g>
+<g style="fill:none; color:blue; stroke:currentColor; stroke-width:3.00; stroke-linecap:butt; stroke-linejoin:miter">
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+\documentclass[a4paper,11pt]{article}
+\usepackage{color,graphicx,pslatex,rcs,gensymb,footmisc,listings,todonotes,
+ amsmath,geometry
+}
+\usepackage[colorlinks,urlcolor=red,bookmarks=false,breaklinks=false]
+ {hyperref}
+\usepackage[pdftex,outline]{contour}
+\usepackage[T1]{fontenc}
+
+\graphicspath{{figs/}}
+\renewcommand{\familydefault}{\sfdefault}
+\newcommand{\radiance}{\textsc{radiance}}
+\newcommand{\radClassic}{\textsc{radiance classic$^\textsf{\tiny TM}$}}
+\newcommand{\opt}[1]{\textbf{#1}}
+\newcommand{\var}[1]{$\mathit{#1}$}
+\newcommand{\lit}[1]{\textit{#1}\/}
+\newcommand{\cmd}[1]{\textit{\textbf{#1}}\/}
+\newcommand{\realLife}{\textsc{RealLife$^\textsf{\tiny TM}$}}
+\newcommand{\footnoteref}[1]{\textsuperscript{\ref{#1}}}
+
+
+
+\definecolor{lstbg}{gray}{0.9}
+\definecolor{lstfg}{rgb}{0,0,0.5}
+\lstset{frame=single, backgroundcolor=\color{lstbg}, mathescape=true,
+ xleftmargin=5pt, xrightmargin=5pt, %aboveskip=20pt, belowskip=20pt,
+ numbers=none, captionpos=b, basicstyle=\normalsize\color{lstfg},
+ breaklines, breakatwhitespace, showstringspaces=false,
+ escapeinside={<@}{@>}}
+
+%\contourlength{0.1pt}
+%\contournumber{1}
+
+\RCS $Revision: 1.51 $
+\RCS $Date: 2022/05/10 23:31:52 $
+
+\title{The \radiance{} Photon Map Extension\\User Manual}
+\author{
+ Roland Schregle (roland.schregle@\{hslu.ch, gmail.com\})\\
+ CC Building Envelopes\\
+ Lucerne University of Applied Sciences and Arts
+}
+\date{
+ Revision \RCSRevision\\
+ \RCSDate
+}
+
+
+\begin{document}
+ \maketitle
+ \tableofcontents
+ \pagebreak
+
+ \section{What's New?}
+
+ Development of the \radiance{} photon map has continued within two projects
+ hosted by the Tokyo University of Science and at Hochschule Luzern.
+ In a nutshell, the following features have been added:
+ \begin{itemize}
+ \item ``Lightflow'' photon mapping; an extension to volume photon
+ mapping to evaluate cubic illuminance at arbitrary locations in
+ space, and visualising the lighting distribution (via \cmd{pmapdump},
+ see below) in the entire scene, as opposed to just on surfaces.
+ \item Precomputed contribution photons; these replace the previous
+ contribution photon map, with the benefit that contributions are
+ now pre-binned and compressed; the binned contributions are then
+ obtained by \cmd{rcontrib} from the single closest photon, similar
+ to the existing precomputed global photons.
+ \item Photon port orientation options; ports may now be reversed to
+ emit from their backfaces, or even from both sides. The default
+ behaviour of (forward) emission towards the interior as defined by
+ the port's normal (per \cmd{mkillum} convention) is retained.
+ \item \cmd{pmapdump} text dump option; photon positions and their flux
+ may now be dumped as plain text for input into interactive point
+ cloud processors and viewers.
+ \item Polyhedral regions of interest (ROIs) specified by material
+ modifiers are considerably more flexible and general than
+ rectangular or spherical ROIs, particularly if the ROI is bounded
+ by complex geometry.
+ \end{itemize}
+
+
+ \clearpage
+ \section{Introduction and Motivation}
+
+ The \radiance{} rendering system \cite{Ward1994} is a very versatile and
+ powerful tool for lighting simulation, and one of the few
+ physically based renderers with available source code. However,
+ developments in light redirecting materials have presented new
+ challenges in their simulation; their specular nature makes them
+ difficult to simulate with \radiance, often resulting in an undersampled
+ specular component and therefore excessive noise. Extreme sampling
+ parameters yield a marginal improvement at the expense of high
+ computational load.
+
+ Particularly the phenomenon of caustics is undersampled with
+ \radiance. Caustics are bright, iridescent highlights on diffuse
+ surfaces caused by specular reflection or refraction. Figure
+ \ref{fig:caustic} shows an example of a caustic from a retroreflecting
+ lamella, which is a typical redirecting component encountered in daylight
+ simulation. Quoting chapter 13 of ``Rendering with \radiance'',
+ \cite{Ward1998},
+ \begin{quote}
+ ``Other cases involving curved, specular reflectors pose similar
+ difficulties for \cmd{mkillum}, and the only long-term solution seems to
+ be the creation of a forward raytracing module for computing these kinds
+ of illums.''
+ \end{quote}
+ The problem is actually more fundamental due to \radiance's backward
+ raytracing methodology, and not restricted to \cmd{mkillum} alone.
+
+ \begin{figure}[htb]
+ \centering
+ \fbox{%
+ \begin{minipage}{0.7\linewidth}
+ \includegraphics[width=\linewidth]{IMG_5048b}
+ \parbox{\linewidth}{%
+ \caption{%
+ \label{fig:caustic}
+ Photograph of caustic from retroreflecting lamella
+ (patented by Helmut K\"oster).
+ }
+ }
+ \end{minipage}
+ }
+ \end{figure}
+
+ \radiance's difficulties with highly directional materials
+ motivated the development of the forward raytracing module mentioned
+ above as a supplementary algorithm. The photon map \cite{Jens1996,
+ Jens1997, Jens2000} was chosen for a number of reasons:
+ \begin{itemize}
+ \item Apart from handling indirect diffuse illumination, it handles
+ caustics efficiently and has become the algorithm of choice for
+ this purpose.
+ \item It is straightforward to integrate into existing ray tracing
+ environments.
+ \item It is decoupled from the scene geometry and thus can handle
+ arbitrarily complex objects. This also enables using the photon
+ map to simulate indirect illumination in volumes such as
+ participating media \cite{Jens1998, Schr2019}.
+ \item It represents a view independent solution to the indirect
+ illumination and can thus be reused for multiperspective
+ renderings with unchanged geometry.
+ \end{itemize}
+
+ The photon map is based on a (light) particle transport simulation,
+ which lends its name. Each photon interacts with the objects it
+ strikes and is either reflected, transmitted, or absorbed, depending
+ on the characteristics of the material. A Monte Carlo sampling method
+ is used to generate the reflected or transmitted directions of a
+ photon if it survives. Eventually a particle is terminated either by
+ absorption or leakage (if it leaves the scene), and a new photon is
+ emitted.
+
+
+ \clearpage
+ \section{Implementation Overview}
+
+ The photon map algorithm comprises two steps:
+ \begin{description}
+ \item[Photon distribution (forward pass):] as a preprocess, photons
+ are emitted from all
+ light sources and probabilistically reradiated or absorbed upon
+ striking a surface or passing through a volume, depending on its
+ properties. The result is a view independent representation of the
+ indirect illumination (figure \ref{fig:cornell_distrib}).
+ \item[Photon gathering (backward pass):] during the actual rendering,
+ the indirect illumination for a point on a surface or within a
+ volume is determined by finding a number of nearest photons to
+ the point. The irradiance is then proportional to the photon
+ density (figure \ref{fig:nnsearch}), hence the process is known
+ as \emph{ density estimation\/} in the statistics literature.
+ The number of photons gathered defines the area covered by the
+ density estimate, and will be referred to as its
+ \lit{bandwidth} for the rest of this document.
+ \end{description}
+ Note that the combination of a forward and backward pass comprises a
+ bidirectional raytracer, thus all possible light transport paths are
+ accounted for.
+
+ \begin{figure}[htb]
+ \centering
+ \fbox{%
+ \begin{minipage}{0.95\linewidth}
+ \includegraphics[width=0.49\linewidth]{cornell-distrib1}
+ \hfill
+ \includegraphics[width=0.49\linewidth]{cornell-distrib2}\\
+ \parbox{\linewidth}{%
+ \caption{%
+ \label{fig:cornell_distrib}
+ Global photon distribution in the Cornell box. Left:
+ global and caustic photon paths during forward pass.
+ Dots indicate stored photons, where blue represents
+ global photons, and red represents caustic photons.
+ Right: photon distribution after completion of forward
+ pass (visualised with \cmd{pmapdump}).
+ Note the concentration of caustic photons on the
+ back wall reflected from the glass sphere.
+ }
+ }
+ \end{minipage}
+ }
+ \end{figure}
+
+ \begin{figure}[t]
+ \centering
+ \fbox{%
+ \begin{minipage}{0.75\linewidth}
+ \resizebox{\linewidth}{!}{\input{figs/nnsearch}}
+ \parbox{\linewidth}{%
+ \caption{%
+ \label{fig:nnsearch}
+ Gathering photons via nearest neighbour search. The
+ number of gathered photons defines the
+ \lit{bandwidth}, or intercepted area, of the density
+ estimate use to evaluate the irradiance.
+ }
+ }
+ \end{minipage}
+ }
+ \end{figure}
+
+ The distribution step is performed by the \cmd{mkpmap} utility. It is
+ responsible for building the photon map and saving it to a file for
+ subsequent reuse by \cmd{rpict}\footnote{Unless noted otherwise,
+ \cmd{rpict} also implies its siblings \cmd{rtrace} and \cmd{rvu},
+ which also support photon mapping.} for the actual rendering and
+ photon gathering. The general photon mapping workflow can therefore
+ be summarised as:
+
+ \begin{center}
+ \begin{minipage}{0.95\linewidth}
+ \begin{lstlisting}
+/* Prepare model$\ldots$ */
+/* Thinkety-think$\ldots$ (mull over parameters) */
+
+mkpmap [-apg $globalpmap$ $nphotons$] \
+ [-apc $causticpmap$ $nphotons$] \
+ [-apv $volumepmap$ $nphotons$] $\ldots$ \
+ [$options$] $octree$
+
+/* Clickety-click$\ldots$ pokety-poke$\ldots$ */
+
+rpict | rtrace | rvu [-ap $globalpmap$ [$bwidth$]] \
+ [-ap $causticpmap$ [$bwidth$]] \
+ [-ap $volumepmap$ [$bwidth$]] $\ldots$ \
+ [$options$] $octree$
+ \end{lstlisting}
+ \end{minipage}
+ \end{center}
+ Doan' panic, parameters (highlighted in italics) will be explained in the
+ following sections.
+
+ Six photon types are available, which are stored in separate photon maps
+ and visualised differently:
+ \begin{description}
+ \item[Global photons] account for all indirect (ambient) illumination
+ incident on surfaces with a diffuse component.
+ \item[Caustic photons] account for all indirect specular to diffuse
+ transfers, i.e. caustics. These transport paths are also accounted for
+ by global photons, but not visualised directly like caustics.
+ \item[Volume photons] account for indirect illumination within
+ participating media using the \lit{mist} primitive. See
+ section \ref{sec:partMedia} for details.
+ \item[Direct photons] account for the direct component from light sources
+ and are intended to serve as a debugging option. These should be
+ rarely used in practice.
+ \item[Precomputed global photons]
+ store irradiance from precomputed density es\-ti\-ma\-tes from a
+ number of nearby photons. This is an optimised variant of global
+ photons and assumes a low indirect irradiance gradient. See section
+ \ref{sec:precomp} for details.
+ \item[Contribution photons] account for contributions from light
+ sources via references to the emitting source, which may also be
+ normalised as coefficients. This is a variant of global photons
+ intended for climate based modelling in conjunction with
+ \cmd{rcontrib}. See section \ref{sec:lsContribs} for details.
+ \end{description}
+
+ The stock \radiance{} functionality (referred to here as \radClassic)
+ is preserved in \cmd{rpict} when photon mapping mode is disabled.
+ When rendering with the photon map, the ambient calculation is
+ augmented by a photon map density estimate, but the direct and
+ indirect specular components are still delivered by \radClassic.
+
+
+
+ \subsection{Supported Materials}
+
+ Material types in \radiance{} must provide support for
+ probabilistically generating outgoing directions for incident photons
+ using Monte Carlo methods. The following material primitives support
+ photon mapping:
+
+ \begin{description}
+ \item[Analytical Gaussian:] \lit{plastic, metal, trans, plastic2,
+ metal2, trans2}
+ \item[Refracting/Reflecting:] \lit{glass, dielectric, interface,
+ mirror}
+ \item[Data-driven] \lit{bsdf}
+ \item[Mixtures:] \lit{mixfunc, mixdata}
+ \item[Patterns:] \lit{colorfunc, brightfunc, colordata, brightdata,
+ colorpict}
+ \item[Textures:] \lit{texfunc, texdata}
+ \item[Volumes:] \lit{mist, antimatter}
+ \end{description}
+
+ Materials with scattering defined procedurally or through tabulated data
+ are only partially supported. The \lit{plasfunc, metfunc, transfunc,
+ plasdata, metdata}, and \lit{transdata} materials currently only scatter
+ photons diffusely, and will not produce caustics.
+ The \lit{brtdfunc} material only produces
+ caustics via ideal (mirror) specular reflection and transmission.
+ These materials have been largely superseded by the more general
+ \lit{bsdf} material, which uses a highly optimised internal data
+ representation and efficient sampling, and is preferred for realistic
+ scattering behaviour.
+
+
+
+ \subsubsection{Participating Media}
+ \label{sec:partMedia}
+
+ The \radiance{} photon map supports indirect inscattering in
+ participating media defined with the \lit{mist} primitive.
+ Participating media are somewhat unwieldy in \radiance{};
+ in order for volume photons to function correctly with materials
+ which modify the coefficient of extinction and scattering albedo
+ (i.e. \lit{dielectric} and \lit{interface}), it is necessary to
+ surround the light source(s) and viewpoint with a \lit{mist} boundary (e.g.
+ \lit{bubble}), unless one intends to restrict volume photons to a
+ small section of the scene.
+
+ Furthermore, in order to obtain volume caustics from light passing through
+ an object (see \autoref{fig:cornell-volume} for such an example), it must
+ also be surrounded by a mist boundary. Alternatively, the mist parameters
+ can be set globally on the command line, however this requires setting the
+ source and viewpoint boundaries' extinction to zero, otherwise extinction
+ is accumulated.
+
+ Furthermore, \cmd{rpict} only accounts for inscattering along rays of
+ finite length, i.e. which intersect a local object. The scene
+ therefore requires peripheral geometry to delineate a finite expanse
+ of \lit{mist}, e.g. a boundary of this material for the entire scene.
+ All this just to make life more interesting.
+
+ That being said, volume photon mapping opens up interesting applications
+ beyond rendering caustics in fog or smoke, for example the simulation of
+ light propagation in architectural spaces \cite{Schr2019}, as shown in
+ \autoref{fig:pmapdump-sunpu}.
+
+
+
+ \subsubsection{Light Sources}
+
+ Light sources require additional code for photon emission. Currently
+ supported primitives are \lit{light, spotlight, glow}, and \lit{
+ source.} To ensure accurate distribution, light source geometries
+ are partitioned to a user specified resolution and photons emitted
+ from each partition.
+
+ The behaviour of a few emitter types differs from \radClassic. In the
+ case of the \lit{source} primitive there is no geometry to partition;
+ instead, the scene cube faces are partitioned and act as emitters,
+ unless photon \emph{ports\/} are used (see section \ref{sec:ports}).
+ Furthermore, the \lit{glow} primitive acts as regular light source
+ within its maximum radius for shadow testing, in which case its
+ contribution is accounted for by the photon map, otherwise it is
+ handled by \radClassic's ambient calculation. Virtual sources are
+ disabled with photon mapping, since caustic photons account for this
+ functionality.
+
+ As in \radClassic{}, light sources may be modified by function files.
+ Functions may access the following variables (see also \lit{rayinit.cal})
+ during photon emission, which are defined in terms of the photon origin on
+ the light source:
+ \begin{description}
+ \item[Dx, Dy, Dz]: the photon's direction, pointing towards its
+ origin on the light source
+ \item[Nx, Ny, Nz]: the surface normal on the light
+ source at the photon origin
+ \item[Px, Py, Pz]: the emitted photon's origin
+ on the light source
+ \item[Rdot]: the dot product of the surface normal and the
+ photon's direction at its origin.
+ \end{description}
+
+
+
+ \subsection{Optimisations}
+
+ A number of optimisations have been incorporated into the
+ implementation to either improve performance or accuracy. The user
+ must be aware of the fact that most of these optimisations incur
+ trade-offs; increasing performance will inevitably compromise
+ accuracy, and vice versa. Such is the harsh reality of Monte Carlo.
+
+
+
+ \subsubsection{Precomputed Global Photons}
+ \label{sec:precomp}
+
+ Per Christensen's precomputed photon mapping approach \cite{Chri2000}
+ has been integrated into \cmd{mkpmap} and is available via the
+ \opt{-app} option to accelerate the subsequent global photon gathering
+ step in \cmd{rpict}.
+
+ With this optimisation, global photon irradiance is precomputed for a
+ fraction of the photon positions and stored with the photons, while the
+ rest are discarded. This reduces the overhead of global photon lookups
+ during the gathering phase; only the single closest global photon is
+ retrieved, and its precomputed irradiance can be used directly (figure
+ \ref{fig:precomp}). The disadvantage of this optimisation is potential
+ local bias in scenes with nonuniform indirect illumination.
+
+ \begin{figure}[htb]
+ \centering
+ \fbox{%
+ \begin{minipage}{0.6\linewidth}
+ \includegraphics[width=\linewidth]{precomp}\\%
+ \parbox{\linewidth}{%
+ \caption{%
+ \label{fig:precomp}
+ Directly visualised precomputed global photon
+ irradiance. Note the caustic from the glass sphere.
+ }
+ }
+ \end{minipage}
+ }
+ \end{figure}
+
+
+
+ \subsubsection{Bias Compensation}
+ \label{sec:biascomp}
+
+ The density estimate bandwidth affords the user control over the
+ quality and accuracy of the rendering by trading off between noise
+ and bias. Setting the bandwidth too low may result in excessive
+ noise, while setting it too high may result in excessive blurring and
+ local bias in the solution.
+
+ To counter this bias/noise tradeoff, a \emph{bias compensation\/}
+ \cite{Schr2003} was developed and incorporated into the density
+ estimate as an option. Its purpose is to adapt the bandwidth within a
+ user specified lower and upper bound.
+
+ Bias compensation employs a binary search for an optimal bandwidth
+ based on the likelihood that deviations from a running average
+ irradiance are due to noise or bias. This results in substantially
+ improved contours in nonuniform indirect illumination (particularly
+ caustics) with a slight increase in noise in these regions (figure
+ \ref{fig:biascomp}).
+
+ \sloppy
+ The algorithm also compensates for boundary bias (irradiance falloff at
+ polygon edges) and chromatic bias. However, this sophistication comes
+ at a price, as it does impact performance noticeably.
+
+ \begin{figure}[htb]
+ \centering
+ \fbox{%
+ \begin{minipage}{0.95\linewidth}
+ \includegraphics[angle=-90, width=0.49\linewidth]
+ {spot-bias-50000-false}%
+ \hfill%
+ \includegraphics[angle=-90, width=0.49\linewidth]
+ {spot-biascomp-50000-false}\\%
+ \parbox{\linewidth}{%
+ \caption{%
+ \label{fig:biascomp}
+ Left: falsecolour rendering of severely biased caustic
+ with a bandwidth of 5000 photons. The caustic should
+ have an irradiance of 10 $W/m^2$. Right: falsecolour
+ rendering of the same caustic with bias compensation
+ using a bandwidth of 50--5000 photons.
+ }
+ }
+ \end{minipage}
+ }
+ \end{figure}
+
+
+
+ \subsubsection{Automatic Maximum Search Radius}
+ \label{sec:maxDist}
+
+ The photon lookup algorithm uses a maximum search radius to
+ identify the nearest neighbours. This radius is progressively reduced
+ during the search until the required number of photons (as defined by the
+ density estimate bandwidth) remain. Photons beyond the maximum search
+ radius are disregarded.
+
+ An appropriately sized maximum search radius will eliminate many
+ distant photons from the search, thus greatly accelerating the
+ process. Setting it too small, however, will result in a ``short''
+ lookup, with fewer photons found than requested with the bandwidth.
+ While this does not invalidate the resulting density estimate, a very
+ low number of photons will render it inaccurate due to excessive noise.
+
+ An optimal maximum search radius is difficult to predict as it
+ changes dynamically with the local photon density. The maximum search
+ radius is therefore estimated from the average photon distance to the
+ centre of gravity of the photon distribution. This adapts the maximum
+ search radius to the average photon density and accounts for
+ non-uniform concentrations of photons, as is often the case with
+ caustics.
+
+ In situations where the photon distribution is grossly skewed, the user
+ can manually override this automation in \cmd{rpict} by specifying a
+ fixed maximum search radius with the \opt{-am} option.
+
+
+
+ \subsubsection{Photon Ports}
+ \label{sec:ports}
+
+ Emitting photons from the \lit{source} primitive presents a
+ challenge; there is no local geometry associated with these directional
+ sources. While the default behaviour is to emit photons from the
+ scene cube faces, this can become highly inefficient for sources with
+ large solid angles. These are infact situations for which a forward
+ raytracer is fundamentally inappropriate. \radClassic's backward
+ raytracer fares better here, since sending a ray to a large source is
+ trivial. With the forward raytracer, the majority of emitted photons
+ will be lost and won't contribute to the photon map.
+
+ To aggravate the situation, directional sources are often used to render
+ interior daylit spaces. With the viewer positioned inside, the few
+ photons that actually strike the geometry must also pass through
+ windows or skylights before they can even contribute visibly to the
+ photon map. Needless to say, this amounts to abysmal performance.
+
+ A simple workaround to the problem is the concept of \emph{photon
+ ports\/}. The ports are basically apertures through which photons can
+ enter the space containing the viewpoint. These can be windows,
+ skylights, but also invisible polygons acting as boundaries within the
+ scene (figure \ref{fig:port}). The primary drawback to this scheme is
+ that it requires user intervention. The user must define the port geometry
+ and specify the objects by their modifiers using the \opt{-apo} option
+ to \cmd{mkpmap}. Adroit placement of ports can dramatically reduce the
+ photon loss factor, resulting in substantially shorter distribution
+ times with \cmd{mkpmap}.
+
+ \begin{figure}[!htb]
+ \centering
+ \fbox{%
+ \begin{minipage}{0.85\linewidth}
+ \includegraphics[width=\linewidth]{port5}
+ \parbox{\linewidth}{%
+ \caption{%
+ \label{fig:port}
+ Typical daylighting geometry with window as photon
+ port for directional light sources. Note that external
+ reflections are not accounted for by photons emitted
+ from the port.
+ }
+ }
+ \end{minipage}
+ }
+ \end{figure}
+
+ All objects in the scene description using the specified port
+ modifiers act as ports during photon distribution. Photons are then
+ emitted directly from the ports rather than from the scene cube
+ faces. The incident flux from directional sources is evaluated at each port
+ and the sources are checked for occlusion. However, no interreflection
+ calculation is made; a port differs from an \lit{illum} in this
+ respect. Photons are scattered by the port upon emission as if they
+ had passed through it.
+
+ By default, \emph{port objects are defined with their surface
+ normals pointing \underline{inwards}} as per \cmd{mkillum} convention.
+ This behaviour can be overridden with if the port normals happen to
+ point outwards; in this case, the port orientation can be reversed.
+ In addition, ports can also be configured to emit bidirectionally, i.e.
+ from either side. A possible use case is using a \lit{mist} volume boundary
+ as port; per definition, the photon will only scatter if it enters the
+ medium, i.e. if its normal points outwards. In this case, the port needs
+ to be reoriented to face inwards.
+
+ In some cases ports may not coincide with any scene geometry. These
+ situations call for invisible ports. Photons should be emitted from
+ them, but they should not be affected by scattering through the port,
+ and the port should not be visible during rendering. One simple
+ solution is to define photon ports using the \lit{antimatter}
+ modifier, with \lit{void} as its only string argument.
+
+ Photon ports are the only optimisation in the implementation which do
+ not compromise accuracy for performance, assuming correct
+ placement on behalf of the user. A more general approach using
+ Markov Chain techniques to automatically find viable photon paths
+ without user intervention may materialise one day. Maybe.\\[1em]
+ \noindent{\scriptsize Or not. Probably not.}
+
+
+ \subsubsection{Regions of Interest (ROIs)}
+ \label{sec:roi}
+
+ The photon map extension supports the specification of one or more regions
+ of interest, or ROIs, in which to exclusively store photons. \cmd{mkpmap}
+ currently accepts ROIs either as 3D coordinates defining bounding boxes
+ (rectangles) or spheres, or as material modifiers specifying polygons that
+ comprise enclosing non-convex polyhedra. ROIs are \emph{accumulated} as
+ they are parsed by \cmd{mkpmap}, consequently a simulation run can contain
+ several ROIs to constrain photons as needed.
+
+ The primary purpose of defining a ROI is to optimise the photon
+ distribution by concentrating photons where they contribute
+ significantly, and disregarding parts of the geometry which are out
+ of view or insignificant. A typical example is an interior space with
+ a fenestration, with many photons being deposited within the latter,
+ thus reducing the number of useful photons in the interior. The ROI
+ would then correspond to the extent of the interior and exlude the
+ fenestration. An example of this is shown in \autoref{fig:roi}.
+
+ \begin{figure}[tb]
+ \centering
+ \fbox{%
+ \begin{minipage}{0.95\linewidth}
+ \includegraphics[width=0.49\linewidth]
+ {scene-000-pmapdump-100k}%
+ \hfill%
+ \includegraphics[width=0.49\linewidth]
+ {scene-000-pmapdump-100k-roi}\\%
+ \parbox{\linewidth}{%
+ \caption{%
+ \label{fig:roi}
+ Photon distributions (visualised with \cmd{pmapdump}) within
+ an interior fitted with a redirecting system. Without
+ constraint, the majority of photons are stored in the
+ fenestration due to interreflection (left). By defining a
+ rectangular region of interest corresponding to the room's
+ extent with the \opt{-api} option, \cmd{mkpmap} only
+ deposits photons in the interior, resulting in an
+ improved distribution and rendering quality (right). This
+ example also uses an invisible \lit{antimatter} sensor
+ surface (defined via the \opt{-aps} option)
+ to deposit photons at work plane height. This is
+ noticeably underpopulated without ROI, thus impacting
+ illuminance measurements on it.
+ }
+ }
+ \end{minipage}
+ }
+ \end{figure}
+
+ A similar situation applies when defining a global mist by specifying
+ \opt{-me} on the command line in conjunction with a volume photon map.
+ Without constraint, volume photons will be stored \emph{everwhere}, which
+ is wasteful. Instead of explicitly defining a \lit{mist} boundary as part
+ of the geometry, it is more convenient to specify the actual polygons
+ enclosing an interior as a polyhedral ROI. An example of this is shown in
+ \autoref{fig:polyroi} for an unusal octahedral structure with sloping
+ roof.
+
+ \begin{figure}[tb]
+ \centering
+ \fbox{%
+ \begin{minipage}{0.95\linewidth}
+ \centering
+ \includegraphics[width=0.8\linewidth]
+ {kazenooka-polyroi-vpm-crop}\\%
+ \parbox{\linewidth}{%
+ \caption{%
+ \label{fig:polyroi}
+ Clipped plan view of an octagonal interior containing
+ volume photons (visualised with \cmd{pmapdump}) constrained
+ within a polyhedral region of interest (ROI).
+ A global \lit{mist} was defined on the command line to
+ deposit the volume photons.
+ Without a ROI, photons reflected or transmitted through
+ the fenestrations (a low opening at the bottom and a group
+ of skylights which have been clipped here) will also be
+ stored in the exterior. By defining a polyhedral ROI
+ comprised of polygons surrounding the interior
+ (walls, floor, ceiling, fenestrations) using the \opt{-aph}
+ option, \cmd{mkpmap} only deposits volume photons in the
+ enclosed space. This is conveniently done by specifying the
+ corresponding material modifiers of the polyhedron's
+ surfaces.
+ }
+ }
+ \end{minipage}
+ }
+ \end{figure}
+
+ Individual \textbf{bounding box ROIs} are specified as triplets of minimum
+ and maximum coordinates:
+ \begin{center}
+ \begin{minipage}{\linewidth}
+ \begin{lstlisting}
+mkpmap .. -api $min_x$ $min_y$ $min_z$ $max_x$ $max_y$ $max_z$ .. $octree$
+ \end{lstlisting}
+ \end{minipage}
+ \end{center}
+ Note that bounding box ROIs must be axis-aligned.
+
+ Individual \textbf{bounding sphere ROIs} are specified as triplets of
+ sphere origin and radius:
+ \begin{center}
+ \begin{minipage}{\linewidth}
+ \begin{lstlisting}
+mkpmap .. -apI $pos_x$ $pos_y$ $pos_z$ $rad$ .. $octree$
+ \end{lstlisting}
+ \end{minipage}
+ \end{center}
+
+ Individual polygons comprising \textbf{polyhedral ROIs} are
+ specified as by their common modifier, or by a set of modifiers read from
+ a file:
+ \begin{center}
+ \begin{minipage}{\linewidth}
+ \begin{lstlisting}
+mkpmap .. -aph $mod$ .. -apH $modfile$ .. $octree$
+ \end{lstlisting}
+ \end{minipage}
+ \end{center}
+ In realistic scenarios several instances of \opt{-aph} are required to
+ specify the polygons surrounding the ROI, as these will typically use
+ different materials (e.g. walls, ceiling, floor, fenestrations, etc).
+ In this case, it is more convenient to group all modifiers comprising
+ each polyhedral ROI in individual files, and specifying these via the
+ \opt{-apH} option instead. It is important to note that, while the
+ ROIs can be non-convex, no check is made to ensure the defined polyhedra
+ are infact closed nor degenerated (i.e. with overlapping polygons) --
+ this is the user's responsibility.
+
+ Once ROIs are defined, photons are only added to the photon map if their
+ hitpoints lie within one of the defined ROIs.
+ The photon path and the resulting contribution to the lighting solution
+ remains unaffected; path segments entering a ROI will deposit photons,
+ while those leaving a ROI will not. Note that the number of stored
+ photons remains approximately the same, but the photon map generation
+ can take considerably longer, depending on the volume and location
+ of the ROIs relative to the photon trajectories.
+
+ ROIs are an advanced option with inherent pitfalls, as excluding photons
+ represents a \emph{partial} solution of the light transport in the scene.
+ It is therefore assumed that the user is aware of the fact that irradiance
+ will be underestimated by \cmd{rtrace} outside the ROI. For example,
+ estimating glare from the fenestration in \autoref{fig:roi} would clearly
+ lead to underestimation as interreflections within the fenestration are
+ omitted.
+
+
+
+ \clearpage
+ \section{Generating photon maps with \cmd{mkpmap}}
+ \label{sec:mkpmap}
+
+ The \cmd{mkpmap} utility accepts a \radiance{} octree as input and
+ performs a forward raytracing pass to generate a photon map of each
+ specified type for the scene. The photons are stored in a space
+ subdividing data structure \cite{Bent1975} which facilitates nearest
+ neighbour queries required for the photon lookup step. The data
+ structure is written to a portable binary file for subsequent use by
+ \cmd{rpict}.
+
+
+
+ \subsection{Distribution Algorithm}
+
+ The parametrisation of the distribution step is primarily intended to
+ be user friendly; the user specifies the required number of photons
+ stored in each map. These are treated as ``targets'' which the photon
+ distribution code tries to attain, since there is no way of knowing
+ the outcome of the distribution a priori.
+
+ The distribution algorithm makes an educated guess at the number of
+ photons it must emit in order to satisfy the targets. This is based
+ on the results of a distribution prepass in which a small number of
+ photons (a fraction of the minimum specified target) is emitted and
+ distributed. Since the distribution process scales linearly, the
+ remaining number of photons to emit can be predicted and distributed
+ in the main pass. The actual number of photons generated after the
+ distribution is complete will approximate the targets.
+
+
+
+ \subsection{Distribution Failure}
+
+ The distribution step may bog down and terminate after a user
+ specified number of prepass attempts if any of the specified photon
+ maps are still empty. This is usually an indication of a scene
+ anomaly or an incompatible photon map specification. This is intended
+ as a convenience for the user; without it, \cmd{mkpmap} would end up
+ in an infinite loop. It is nevertheless the user's responsibility to
+ specify photon map types compatible with the materials and to check
+ the validity of the scene.
+
+ \noindent The following situations can cause \cmd{mkpmap} to fail:
+ \begin{itemize}
+ \item pathological scenes in which none of the light sources see any
+ geometry
+ \item specifying a global photon map for a scene containing no materials
+ with diffuse component
+ \item specifying a caustic photon map for a scene containing no
+ materials with diffuse or specular component
+ \item specifying a volume photon map for a scene lacking the
+ \lit{mist} primitive.
+ \end{itemize}
+
+
+
+ \subsection{Runaway Photons}
+
+ Photons may become trapped inside \lit{dielectric} or \lit{interface}
+ materials, often due to infinite total reflection. These ``runaway''
+ photons are terminated after a user defined bounce limit is exceeded,
+ and a warning is issued under the assumption that this is an anomaly
+ of the scene geometry.
+
+
+
+ \subsection{Progress Report}
+ \label{sec:mkpmap.report}
+
+ If progress reports are enabled, \cmd{mkpmap} will report the following
+ during distribution:
+
+ \begin{center}
+ \begin{minipage}{0.95\linewidth}
+ \begin{lstlisting}
+$N_e$ emitted, $N_g$ global, $N_c$ caustic, $N_v$ volume, $N_d$ direct,
+$p\ $% after $t$ hours, ETA= $t_r$h
+ \end{lstlisting}
+ \end{minipage}
+ \end{center}
+ where:
+ \begin{itemize}
+ \item \var{N_e} is the total number of emitted photons
+ \item \var{N_g}, \var{N_c}, \var{N_v}, and \var{N_d} is the number
+ of global, caustic, volume, and direct photons stored,
+ respectively
+ \item \var{p} is the percentage completed
+ \item \var{t} is the time elapsed.
+ \item \var{t_r} is the estimated time remaining
+ \end{itemize}
+
+ When generating a precomputed global photon map, a report will also
+ be issued subsequent to the distribution step, indicating the number of
+ precomputed photons:
+ \begin{center}
+ \begin{minipage}{0.95\linewidth}
+ \begin{lstlisting}
+$N_p$ precomputed, $p\,$% after $t$ hours
+ \end{lstlisting}
+ \end{minipage}
+ \end{center}
+
+
+
+ \subsection{Command line arguments for \cmd{mkpmap}}
+ \label{sec:mkpmapArgs}
+
+ The general synopsis of the \cmd{mkpmap} utility is:
+ \begin{center}
+ \begin{minipage}{0.95\linewidth}
+ \begin{lstlisting}
+mkpmap -apg|-apc|-apv|-apd|-app|[-apC|-apt|-apT|-apV] \
+ $pmapfile$ $nphotons$ [$precompbwidth$] $\ldots$ \
+ [$options$] $octree$
+ \end{lstlisting}
+ \end{minipage}
+ \end{center}
+ The options are as follows:
+
+ \begin{description}
+ \item{\opt{-apg} \var{pmapfile} \var{nphotons}}\\
+ Generate a global photon map containing approximately
+ \var{nphotons} photons, and output to \var{pmapfile}. This accounts
+ for all indirect illumination, from both specular and diffuse
+ scattering, on surfaces with a diffuse component. This is the
+ most general type of photon map and replaces the ambient
+ calculation in \cmd{rpict}.
+
+ \item{\opt{-apc} \var{pmapfile} \var{nphotons}}\\
+ Generate a separate caustic photon map containing approximately
+ \var{nphotons} photons, and output to \var{pmapfile}.
+ This is a subset of the global photon map intended for
+ direct visualisation at primary rays. This accounts for all
+ indirect illumination on diffuse surfaces from specular
+ scattering, which usually exhibits a large gradient and
+ requires a higher resolution than the global photon map,
+ typically containing the tenfold number of photons.
+
+ \item{\opt{-apv} \var{pmapfile} \var{nphotons}}\\
+ Generate a volume photon map containing approximately
+ \var{nphotons} photons, and output to \var{pmapfile}. These account
+ for indirect inscattering in participating media such as
+ \lit{mist} and complement the direct inscattering computed by
+ \cmd{rpict}. See also the \opt{-me}, \opt{-ma} and \opt{-mg}
+ options below.
+
+ \item{\opt{-apd} \var{pmapfile} \var{nphotons}}\\
+ Generate a direct photon map containing approximately
+ \var{nphotons} photons, and output to \var{pmapfile}. This only
+ accounts for direct illumination on diffuse surfaces, and is
+ intended for debugging and validation of photon emission from
+ the light sources, as the quality is too low for actual
+ rendering.
+
+ Direct photon maps are useful to determine suitable
+ settings for the \opt{-ds} and \opt{-dp} options when using
+ light sources with complex modifiers, as they provide a visual
+ check for the resolution of the probability density function
+ used for photon emission. Furthermore, it can serve as a
+ validation tool for comparison with \radiance's direct
+ component.
+
+ \item{\opt{-app} \var{pmapfile} \var{nphotons} \var{precompbwidth}}\\
+ Generate a precomputed global photon map containing a
+ fraction of \var{nphotons} photons (specified with the
+ \opt{-apP} option, see below), and output to \var{pmapfile}.
+
+ This is a special case of the global photon map where the
+ irradiance is evaluated with a bandwidth of \var{precompbwidth}
+ photons for a fraction of the photon positions, and stored as
+ photon flux; the remaining photons are discarded as their
+ contributions have been accounted for. This obviates the
+ explicit irradiance evaluation by \cmd{rpict}, thus effecting a
+ speedup at the expense of accuracy. The resulting error is
+ tolerable if the indirect illumination has a low gradient, which
+ is usually the case with diffuse illumination.
+
+ See section \ref{sec:precomp} for details on using precomputed
+ global photons.
+
+ \item{\opt{-apC} \var{pmapfile} \var{nphotons} \var{precompbwidth}
+ \var{comp}
+ \footnote{Contribution photon mapping is optional and requires
+ out-of-core storage, which is not enabled in the default build.
+ In addition, it is currently not supported on Windows.
+ On platforms that do support it, out-of-core storage must be
+ enabled at compile time with \opt{-DPMAP\_OOC}.
+ To verify if your build supports contribution photon mapping,
+ check if the \opt{-apC} option appears in the output of
+ \cmd{mkpmap -help}.
+ \label{note:contrib}
+ }
+ }\\
+ Generate a precomputed contribution photon map containing a fraction
+ of \var{nphotons} photons (specified with the \opt{-apP} option, see
+ below), and output to file \var{pmapfile}.
+ Only light sources may contribute, and are specified via their
+ modifier(s) with a subsequent \opt{-m} option (see below).
+ Each precomputed photon accumulates contributions from the
+ \var{precompbwidth} nearest photons into bins (specified with the
+ \opt{-bn} option, see below).
+ If \var{precompbwidth} is less than the number of bins, a warning
+ is issued, since some bins will be zero.
+
+ Ideally, \var{precompbwidth} should be a multiple of the number of
+ bins. If too many bins (default 50\%) are still zero, a warning
+ about an excessive empty bin ratio is issued, indicating potentially
+ biased contributions, and that the number of photons and/or
+ the bandwidth should be increased further. However, if very small
+ contributions are indeed expected in some bins, this warning should
+ be taken with a grain of salt.
+
+ Precomputed contribution photon maps can be used by \cmd{rcontrib}
+ to very efficiently evaluate binned light source contributions
+ (e.g. from sky patches) at multiple points by looking up the single
+ nearest precomputed photon. In contribution mode, \cmd{mkpmap} is
+ therefore designed to behave similarly to \cmd{rcontrib}.
+ To ensure the latter obtains binning parameters consistent with
+ those used in the precomputation, \cmd{mkpmap} outputs an option
+ file \var{pmapfile.opt} which must be passed to rcontrib via its
+ \opt{@} option.
+
+ The \var{comp} parameter specifies a compression ratio for the binned
+ contributions in the range [0,~1], where 1 corresponds to maximum
+ compression, and 0 implies no compression at all. Compression is
+ recommended as it gives the user control over the size of the binned
+ contributions, which are saved in a separate file for each modifier;
+ depending on the number of photons and bins, these files can become
+ very large. Note however that \cmd{mkpmap} uses a \emph{lossy}
+ wavelet compression, which can introduce artefacts at higher
+ compression ratios if the lighting is complex (e.g. exhibits high
+ gradients). In typical scenarios, a compression ratio of 0.7--0.8
+ yields an acceptable compromise between accuracy and space savings.
+
+ With this option, \cmd{mkpmap} uses a modified photon distribution
+ algorithm that increases the odds that all selected light sources
+ contribute approximately the same number of photons. Because of this,
+ \cmd{mkpmap} cannot generate a contribution photon map in combination
+ with others in a single run, and other photon maps specified on the
+ command line will be ignored.
+
+ See section \ref{sec:lsContribs} for details on using precomputed
+ contribution photon maps with \cmd{rcontrib}.
+
+ \item{\opt{-apt} \var{pmapfile} \var{nphotons} \var{velocity}
+ \footnote{Transient photon mapping is experimental and requires
+ in-core (kd-tree) storage, which is enabled in the default build.
+ It is currently not supported with optional out-of-core storage
+ (\mbox{\opt{-DPMAP\_OOC}}). To verify if your build supports
+ transient photon mapping, check for the \opt{-apt} option
+ in the output of \cmd{mkpmap -help}.
+ \label{note:transient}
+ }
+ }\\
+ Generate a transient photon map with the given propagation velocity.
+ This is a variant of the global photon map with the distinction that
+ photons can be located in space and time. When a transient photon
+ interacts with a surface, its time of flight, subject to its
+ velocity, is recorded along with its position (technically, this is
+ internally expressed as the photon path length to simplify the
+ spatio-temporal distance metric used for photon lookups).
+
+ The velocity is expressed in units 1/sec in relation to
+ the scale of the simulation geometry. For reference, the speed of
+ light in a vacuum is 299792458 metres/sec (or 3e8 if you're not
+ Stephen Hawking). The velocity is currently treated as constant
+ in all media, and is consequently not adapted for the index of
+ refraction in \lit{dielectric} and \lit{interface} materials.
+ Relativistic effects are also not accounted for, since Stephen
+ Hawking doesn't use RADIANCE anyway\footnote{%
+ \url{https://www.youtube.com/watch?v=ITo3EvxWnPg}
+ }.
+
+ Transient photon maps are particularly useful to study the
+ propagation of light in extreme slow motion. See section
+ \ref{sec:transient} for details on how transient photons
+ can be rendered at specific points in time.
+
+ \item{\opt{-apT} \var{file} \var{nphotons} \var{velocity}
+ \footnoteref{note:transient} \footnoteref{note:lightflow}
+ }\\
+ Generate a transient lightflow photon map. This photon map combines
+ the attributes of lightflow and transient photons, i.e. transient
+ rendering at arbitrary locations in a volume (requiring a
+ participating medium). See options \opt{-apt} and \opt{-apV} for
+ details.
+
+ \item{\opt{-apV} \var{pmapfile} \var{nphotons}
+ \footnote{Lightflow photon mapping is experimental and not enabled
+ in the default build. It must be enabled at compile time with
+ \opt{-DPMAP\_PHOTONFLOW}. To verify if your build supports
+ lightflow photon mapping, check for the \opt{-apV} option in
+ the output of \cmd{mkpmap -help}.
+ \label{note:lightflow}
+ }
+ }\\
+ Generate a ``lightflow'' photon map containing \var{nphotons} photons.
+ This is a specialised variant of the volume photon map (see the
+ \opt{-apv} option above) designed to evaluate cubic illuminance at
+ arbitrary positions in space. In addition, the photon propagation in
+ space can be visualised with the output of \cmd{pmapdump}. Note
+ however, that illuminance from lightflow is generally less accurate
+ than using a global photon map with a dedicated virtual sensor plane
+ in conjunction with the \opt{-apS} option.
+
+ As with regular volume photon mapping,
+ lightflow photons require a participating medium in which they are
+ deposited. Unlike regular volume photon mapping however, lightflow
+ photons do not interact with the participating medium, and are
+ neither scattered nor absorbed; consequently, the photon
+ trajectories -- and therefore the light transport as a whole -- is
+ unaffected by the participating medium.
+
+ Lightflow photon mapping implies an albedo and eccentricity of 1
+ (corresponding to the options \opt{-ma} and \opt{-mg},
+ respectively) in participating media.
+ The coefficient of extinction, which can be defined locally for a
+ \lit{mist} primitive, or globally via the \opt{-me} option, is a free
+ parameter that determines the density of the deposited photons. It is
+ generally desirable to keep this parameter low to minimise
+ clustering, at the expense of slower photon distribution. Setting
+ this parameter too high can result in excessive linear clustering of
+ photons along their trajectories, leading to a "ray effect" and local
+ bias in the evaluated illuminance (this is readily apparent on visual
+ inspection with \cmd{pmapdump}). This parameter also depends on the
+ scale of the space in which the photons are deposited.
+
+ An unwanted side effect of lightflow photon mapping is that photon
+ distribution may overflow, particularly in dense media with high
+ extinction values. In this case, the predistribution factor (see
+ option \opt{-apD}) should be reduced accordingly. Future releases of
+ \cmd{mkpmap} may adjust this parameter automatically.
+
+ A lightflow photon map can be visualised with \cmd{pmapdump} or
+ evaluated as cubic illuminance with \cmd{rtrace}.
+ See section \ref{sec:lightFlow} for details on using lightflow
+ photon maps with \cmd{rtrace} and \cmd{pmapdump}.
+
+ \item{\opt{-apD} \var{predistrib}}\\
+ Photon predistribution factor; this is the fraction of
+ \var{nphotons} which are emitted in a distribution prepass in
+ order to estimate the remaining number of photons to emit in
+ the main pass to approximately yield a photon map of size
+ \var{nphotons}.
+
+ Setting this too high may yield more than
+ \var{nphotons} in the initial pass with highly reflective
+ geometry. Note that this value may exceed 1, which may be
+ useful if the resulting photon map size greatly deviates from
+ \var{nphotons} with a very low average reflectance.
+
+ \item{\opt{-aph} \var{mod}}\\
+ Defines all polygons using the material modifier \var{mod} as part of
+ a polyhedral region of interest (ROI). Photons will only be stored
+ within the volume enclosed by these surfaces. Multiple instances of
+ this option may be specified with cumulative effect to aggregate
+ surfaces into a polyhedron. An error is issued if the identified
+ geometry is not polygonal. However, no check is made to ensure the
+ polyhedron is closed and not degenerated (particularly due to
+ overlapping polygons) -- this is the user's responsibility.
+
+ This option is useful to constrain photons to only lie in relevant
+ regions of a scene, but
+ may increase the photon distribution time. Beware that this option
+ may lead to biased results. See section \ref{sec:roi} for details
+ and caveats on using ROIs.
+
+ \item{\opt{-apH} \var{modfile}}\\
+ Reads modifiers comprising polyhedral regions of interest (ROIs) from
+ \var{modfile}, separated by whitespace. This is convenient to
+ group modifiers per ROI if the geometry is complex and uses
+ multiple materials. See option \opt{-aph} for details and caveats
+ on using polyhedral ROIs.
+
+ \item{\opt{-api} \var{min_x} \var{min_y} \var{min_z}
+ \var{max_x} \var{max_y} \var{max_z}
+ }\\
+ Defines an axis-aligned rectangular region of interest (ROI) within
+ which to store photons exclusively; photons will only be stored
+ within the volume bounded by the given minimum and maximum
+ coordinates. Multiple instances of this option may be specified with
+ cumulative effect to define compound ROIs.
+
+ This option is useful to constrain photons to only lie in relevant
+ regions of a scene, but
+ may increase the photon distribution time. Beware that this option
+ may lead to biased results. See section \ref{sec:roi} for details
+ and caveats on using ROIs.
+
+ \item{\opt{-apI} \var{pos_x} \var{pos_y} \var{pos_z} \var{rad}}\\
+ Similar to \opt{-api}, but with a spherical region of interest of
+ given radius, centred at the given coordinates. See caveats there.
+
+ \item{\opt{-apm} \var{maxbounce}}\\
+ This option is synonymous with \opt{-lr} for backwards compatibility,
+ and may be removed in future releases.
+
+ \item{\opt{-apM} \var{maxprepass}}\\
+ Maximum number of iterations of the distribution prepass before
+ terminating if some photon maps are still empty. This option is
+ rarely needed as an aborted prepass indicates an anomaly in
+ the geometry or an incompatibility with the specified photon
+ map types.
+
+ \item{\opt{-apo}[\lit{+}$|$\lit{-}$|$\lit{0}] \var{portmod}}\\
+ Specifies a modifier \var{portmod} to act as a photon port. All
+ objects using this modifier will emit photons directly in lieu
+ of any distant light sources defined with the \lit{source} material.
+ This greatly accelerates photon distribution in scenes where
+ photons have to enter a space which separates them from the
+ emitting light source via an aperture (e.g. fenestration, skylight)
+ acting as a port.
+
+ In a typical daylight simulation scenario, a fenestration acts as a
+ port to admit photons into an interior after emission from sky and
+ solar sources. See section \ref{sec:ports} for details on using
+ photon ports. Multiple instances of this option may be specified.
+
+ By default, ports are oriented to emit from their front side, as
+ defined by their surface normal. This can be overridden by
+ specifying a trivalent suffix as follows:
+ \begin{description}
+ \item[\lit{+}\,:] forward emission; this is equivalent to the
+ abovementioned default behaviour,
+ \item[\lit{-}\,:] backward emission; the port is reversed and
+ photons are emitted from the back side.
+ \item[\lit{0}\,:] bidirectional emission; photons are emitted
+ from both sides of the port.
+ \end{description}
+ Typical situations that call for a reversed photon port include, for
+ example:
+ \begin{itemize}
+ \item Using fenestrations as ports that were (for whatever
+ reason) defined with outward facing normals, without having to
+ revise the model,
+ \item Using a \lit{mist} primitive as a port, since this requires
+ outward facing normals in order to register the photons as
+ having entered the volume.
+ \item Reorienting a port associated with a \lit{bsdf} modifier,
+ since inverting its normal would also reorient the BSDF and
+ alter its behaviour.
+ \end{itemize}
+ Other oddball scenarios are conceivable. If in doubt, specify a
+ bidirectional port orientation for a slight performance penalty,
+ as photon emission is attempted from both sides. For well-defined
+ port geometry with inward-facing normals, just use the default;
+ doan' mess with da normalz.
+
+ Photon port geometry is discretised according to the
+ \opt{-dp} and \opt{-ds} options. These parameters aid in resolving
+ spatially and directionally varying illuminance received by the port
+ from distant light sources, e.g due to partial occlusion
+ or when using climate-based sky models.
+
+ \item{\opt{-apO}[\lit{+}$|$\lit{-}$|$\lit{0}] \var{portfile}}\\
+ Read photon port modifiers from the file \var{portfile}, separated
+ by whitespace, as a more convenient alternative to multiple
+ instances of \opt{-apo}. The specified orientation is applied to
+ all modifiers in the file.
+
+ \item{\opt{-apP} \var{precomp}}\\
+ Photon precomputation factor; this is the fraction of
+ \var{nphotons} global or contribution photons to precompute, in
+ the range $]0,1]$, when using the \opt{-app} resp. \opt{-apC}
+ options. The remaining photons are discarded. See sections
+ \ref{sec:precomp} and \ref{sec:lsContribs} for details
+ on using precomputed global resp. contribution photons.
+
+ \item{\opt{-apr} \var{seed}}\\
+ Seed for the random number generator. This is useful for
+ generating different photon distributions for the same octree
+ and photon map size, notably in progressive applications.
+
+ \item{\opt{-aps}[\lit{+}$|$\lit{-}$|$\lit{0}] \var{sensmod}}\\
+ Specifies a modifier \var{sensmod} defined as \lit{antimatter}
+ material to act as a virtual (i.e. invisible) sensor surface.
+ Photons will be deposited on all surfaces using this modifier,
+ just like regular materials, but will then be transferred
+ through the surface without undergoing scattering; the surface
+ therefore does not affect the light transport and simply acts
+ as an invisible photon receiver. Note that \cmd{mkpmap} reports
+ an error if the specified modifier is not an \lit{antimatter}
+ material.
+
+ This is useful when photon
+ irradiance is to be evaluated at points which do not lie on
+ regular geometry, e.g. at workplane height with \cmd{rtrace}'s
+ \opt{-I} option. Without this workaround, photons would be
+ collected from parallel but distant planes, leading to
+ underestimation.
+
+ By default, virtual sensors are oriented to deposit photons incident
+ from their front side, as defined by their surface normal.
+ This can be overridden by specifying a trivalent suffix as follows:
+ \begin{description}
+ \item[\lit{+}\,:] Forward orientation; this is equivalent to the
+ abovementioned default behaviour.
+ \item[\lit{-}\,:] Backward orientation; the sensor is reversed
+ and only receives photons incident from the back.
+ \item[\lit{0}\,:] Bidirectional orientation; the sensor receives
+ photons from both sides.
+ \end{description}
+ See \autoref{fig:roi} for an example of a sensor surface in action.
+
+ \item{\opt{-apS}[\lit{+}$|$\lit{-}$|$\lit{0}] \var{sensfile}}\\
+ Read virtual sensor surface modifiers from the file \var{sensfile},
+ separated by whitespace, as a more convenient alternative to
+ multiple instances of \opt{-aps}. The specified orientation is
+ applied to all modifiers in the file.
+
+ \item{\opt{-ae} \var{excmod}}\\
+ Add \var{excmod} to the ambient exclude list, so that it will be
+ ignored by the photon map. Objects having \var{excmod} as their
+ modifier will not have photons deposited on them.
+ Multiple modifiers may be given, each as separate instances of this
+ option.
+
+ \item{\opt{-aE} \var{excfile}}\\
+ Same as \opt{-ae}, except modifiers to be excluded are read from
+ \var{excfile}, separated by whitespace.
+
+ \item{\opt{-ai} \var{incmod}}\\
+ Add \var{incmod} to the ambient include list, so that it will
+ contribute to the photon map. Only objects having \var{incmod} as
+ their modifier will have photons deposited on them. Multiple
+ modifiersmay be given, each as separate instances of this option.
+ Note that the ambient include and exclude options are mutually
+ exclusive.
+
+ \item{\opt{-aI} \var{incfile}}\\
+ Same as \opt{-ai}, except modifiers to be included are read from
+ \var{incfile}, separated by whitespace.
+
+ \item{\opt{-am} \var{maxdist}}\\
+ Maximum search radius for precomputed photon lookups. in conjunction
+ with the \opt{-app} or \opt{-apC} options.
+ See the discussion of \opt{-am} in section \ref{sec:rpictArgs}
+ for details.
+
+ \item{\opt{-bn} \var{nbins} \footnoteref{note:contrib}}\\
+ Set the number of bins for precomputed contribution photons in
+ conjunction with the \opt{apC} option to \var{nbins}. Analogous to
+ \cmd{rcontrib}, the bins discretise the hemisphere of incident
+ directions of contributions in the vicinity of each precomputed
+ photon. Each bin covers a range of incident directions using the
+ Shirley-Chiu disk-to-square mapping \cite{Shir1997}, whose
+ orientation can be defined with the \opt{-e} option.
+ This mapping is hardwired for precomputed contribution photons, and
+ cannot be changed. Effectively, \var{nbins} specifies the mapping
+ resolution.
+
+ The number of bins \var{nbins} must be an integer squared
+ $\left(\lfloor\sqrt{nbins}\rfloor\right)^2$, otherwise it
+ will be automatically rounded to the nearest such value.
+ If \opt{-bn} isn't specified, the default number of bins is 1, in
+ which case binning is disabled, and each photon carries the
+ integrated contributions from all directions.
+ The binning is effective for the next contribution modifier
+ specified with the \opt{-m} option (q.v.).
+
+ See also the discussion on binning in \cmd{rcontrib}'s manpage.
+
+ \item{\opt{-bv}[\lit{+}$|$\lit{-}]}\\
+ Toggles backface visibility; enabling this causes photons to be
+ stored and possibly scattered if they strike the back of a
+ surface, otherwise they are unconditionally absorbed and discarded.
+
+ \item{\opt{-dp} \var{sampleres}}\\
+ Angular resolution for sampling the spatial emission
+ distribution of a modified light source or photon port (e.g. via
+ \lit{brightfunc}), in samples per steradian. This determines
+ the accuracy of the numerical integration of the flux emitted
+ by the source or port, and may need to be increased with complex
+ distributions in combination with caustics.
+
+ \item{\opt{-ds} \var{partsize}}\\
+ Light source partition size ratio; this determines the spatial
+ resolution for photon emission from local light sources (or photon
+ ports in case of distant sources).
+ A light source or photon port is spatially partitioned to distribute
+ the photon emission over its surface. This parameter specifies the
+ ratio of the size (per dimension) of each partition to the scene cube
+ extent, and may need to be reduced for modified light sources with
+ high spatial variance, or for partially occluded photon ports.
+
+ \item{\opt{-e} \var{expr} \footnoteref{note:contrib}}\\
+ Parse expression \var{expr} to globally initialise binning variables
+ for all contribution modifiers in conjunction with the \opt{-apC}
+ option. For a list of relevant variables, see option \opt{-p} below.
+
+ \item{\opt{-ef} \var{diagfile}}\\
+ Redirect diagnostics and progress reports to \var{diagfile} instead of
+ the console.
+
+ \item{\opt{-fo}[\lit{+}$|$\lit{-}]}\\
+ Toggles overwriting of output files. By default, \cmd{mkpmap}
+ will not overwrite an already existing photon map file. This
+ is to prevent inadvertently destroying the results of
+ potentially lengthy photon mapping runs.
+
+ \item{\opt{-ld} \var{maxdist}}\\
+ Limits cumulative distance travelled by a photon along its path
+ to \var{maxdist}. Photon hits within this distance will be stored,
+ and the photon is terminated once its path length exceeds this
+ limit.
+
+ This is useful for setting radial regions of interest
+ around emitting/reflecting geometry, but may increase the photon
+ map generation times and yield biased results in regions
+ beyond \var{maxdist}. Discretion is advised.
+
+ \item{\opt{-lr} \var{maxbounce}}\\
+ Maximum number of bounces (scattering events) for a photon path
+ before being considered ``runaway'' and terminated. Photons
+ paths are normally terminated via Russian Roulette, depending
+ on their albedo. With unrealistically high albedos, this is
+ not guaranteed, and this option imposes a hard limit to avoid
+ an infinite loop.
+
+ \item{\opt{-m} \var{mod} \footnoteref{note:contrib}}\\
+ Include modifier \var{mod} in the precomputed contribution photon
+ map in conjunction with the \opt{-apC} option. This must be a light
+ source modifier, as photons can only carry contributions from their
+ emitting light sources; an error is issued if this is not the case.
+ The most recent binning options \opt{-bn} and \opt{-p} apply to
+ this modifier, and can be individually specified for subsequent
+ modifiers.
+
+ \item{\opt{-M} \var{modfile} \footnoteref{note:contrib}}\\
+ Similar to \opt{-m}, but load a list of contribution modifiers
+ from \var{modfile}. The most recent instances of binning parameters
+ \opt{-bn} and \opt{-p} are applied to all modifiers.
+
+ \item{\opt{-ma} \var{ralb} \var{galb} \var{balb}}\\
+ Set the global scattering albedo for participating media in
+ conjunction with the \opt{-apv} option. See the \cmd{rpict}
+ documentation for details.
+
+ \item{\opt{-me} \var{rext} \var{gext} \var{bext}}\\
+ Set the global extinction coefficient for participating media
+ in conjunction with the \opt{-apv} option. See the \cmd{rpict}
+ documentation for details.
+
+ \item{\opt{-mg} \var{gecc}}\\
+ Set the global scattering eccentricity for participating media
+ in conjunction with the \opt{-apv} option. See the \cmd{rpict}
+ documentation for details.
+
+ \item{\opt{-n} \var{nproc}
+ \footnote{Multiprocessing is currently not available on M\$ Wind0z
+ {\tiny (So tuff luck)},
+ as it doesn't support \radiance's process-based (as opposed to
+ thread-based) parallelism using the \textit{fork()}
+ syscall.
+ The photon mapping implementation conforms to this
+ convention, although POSIX threads would now clearly be the
+ preferred and portable approach.
+ }
+ }\\
+ Use \var{nproc} processes for parallel photon distribution. There
+ is no benefit in specifying more than the number of physical CPU
+ cores available (so doan' even try).
+
+
+ \item{\opt{-p} \var{var_1=val_1,\ var_2=val_2,\ \ldots}
+ \footnoteref{note:contrib}
+ }\\
+ Define per-modifier parameters \var{var_1,\ var_2,\ \ldots} for the
+ Shirley-Chiu mapping used to bin
+ precomputed contribution photons in conjunction with the \opt{-apC}
+ option. These parameters apply to the next contribution modifier
+ specified with the \opt{-m} option, and can be individually
+ redefined for subsequent modifiers. The companion option
+ \opt{-e} can be used to set global parameters for all modifiers.
+ The following variables can be set to define the mapping orientation:
+ \begin{itemize}
+ \item{\textit{RHS}}: 1 for right-handed coordinate system
+ (default), -1 for left-handed.
+ \item{\textit{rNx, rNy, rNz}}: surface normal
+ (defines $\theta = 0$, default [0, 0, 1])
+ \item{\textit{Ux, Uy, Uz}}: up vector (defines $\phi = 0$,
+ default [0, 1, 0])
+ \end{itemize}
+ See also this option's discussion in \cmd{rcontrib}'s manpage.
+
+ \item{\opt{-t} \var{sec}}\\
+ Output a progress report every \var{sec} seconds. See section
+ \ref{sec:mkpmap.report}.
+
+ \item{\opt{-v}[\lit{+}$|$\lit{-}]}\\
+ Boolean option to control \cmd{mkpmap}'s console output. If disabled
+ (the default), the output is terse, except for warnings and errors.
+ If enabled, the output is verbose, and includes information on
+ distribution prepasses, photon ports, and light source partitioning.
+ Verbose mode can generate excessive chatter and should only
+ be used for diagnostic purposes, for example if \cmd{mkpmap}
+ seemingly hangs (which can happen if many light source partitions
+ need to be processed).
+ It is a good idea to redirect verbose output with the \opt{-ef}
+ option, since excessive console output will actually slow
+ \cmd{mkpmap} down.
+
+ \item{\opt{-V}[\lit{+}$|$\lit{-}] \footnoteref{note:contrib}}\\
+ Boolean option to precompute contributions (enabled) or
+ normalised coefficients (disabled, the default) in conjunction
+ with the \opt{-apC} option.
+ See also this option's discussion in \cmd{rcontrib}'s manpage.
+ \end{description}
+
+ At least one of the \opt{-apg}, \opt{-apc}, \opt{-apv}, \opt{-apd},
+ \opt{-app} options (or \opt{-apC}, \opt{-apt}, \opt{-apT}, \opt{-apV},
+ if available~\footnoteref{note:contrib}~\footnoteref{note:transient}~%
+ \footnoteref{note:lightflow}) must be specified.
+ Most of these can be combined subject
+ to compatibility with the materials used in the scene (an exception
+ is the \opt{-apC} option, since contribution photons use a dedicated
+ distribution algorithm. The \opt{-apC} option, in contrast, uses a
+ different distribution algorithm and cannot be combined with the
+ aforementioned; these will simply be ignored when generating a
+ contribution photon map.
+
+
+ \subsection{Examples}
+
+ The following command generates a global photon map \lit{bonzo.gpm} and a
+ caustic photon map \lit{bonzo.cpm} containing approximately 10000 and 100000
+ photons, respectively, with a progress report being issued every 5 seconds:
+ \begin{center}
+ \begin{minipage}{0.95\linewidth}
+ \begin{lstlisting}
+mkpmap -apg bonzo.gpm 10k -apc bonzo.cpm 100k -t 5 \
+ bonzo.oct
+ \end{lstlisting}
+ \end{minipage}
+ \end{center}
+
+ Generate a global photon map containing 80000 photons, then precompute
+ the diffuse irradiance for 1/4 of these with a bandwidth of 40 photons:
+ \begin{center}
+ \begin{minipage}{0.95\linewidth}
+ \begin{lstlisting}
+mkpmap -app bonzo-precomp.gpm 80k 40 -apP 0.25 bonzo.oct
+ \end{lstlisting}
+ \end{minipage}
+ \end{center}
+
+ Generate 1 million global photons by emitting them from external light
+ sources of type \lit{source} into a reference room via a fenestration with
+ modifier \lit{glazingMat} acting as photon port, with inward-facing normal:
+ \begin{center}
+ \begin{minipage}{0.95\linewidth}
+ \begin{lstlisting}
+mkpmap -apg refRoom.gpm 1m -apo glazingMat refRoom.oct
+ \end{lstlisting}
+ \end{minipage}
+ \end{center}
+
+ Generate 10 million contribution photons from all light sources with
+ modifier \lit{bonzoLite}, precompute 1 million of these by accumulating
+ the contributions from the 2600 nearest photons into 256 bins,
+ and compress them by 75\%. Then accumulate these precomputed contributions
+ for a grid of sensor positions in \cmd{rcontrib}.
+ Note that the relevant binning parameters and modifiers are passed via
+ the option file \lit{bonzo-contrib.Cpm.opt} (see also section
+ \ref{sec:rcontribPmap} for details):
+ \begin{center}
+ \begin{minipage}{0.95\linewidth}
+ \begin{lstlisting}
+mkpmap -apC bonzo-contrib.Cpm 10m 2600 0.75 -apP 0.1 -bn 256 \
+ -m bonzoLite -V+ bonzo.oct
+
+rcontrib -ap bonzo-contrib.Cpm -o \%s.dat \
+ @bonzo-contrib.Cpm.opt bonzo.oct < sensors.pos
+ \end{lstlisting}
+ \end{minipage}
+ \end{center}
+
+ Generate 10 million transient photons travelling at the approximate
+ speed of light (in m/s, assuming the geometry in \lit{bonzo.oct} is in
+ the same units):
+ \begin{center}
+ \begin{minipage}{0.95\linewidth}
+ \begin{lstlisting}
+mkpmap -apt bonzo-trans.tpm 10m 3e8 bonzo.oct
+ \end{lstlisting}
+ \end{minipage}
+ \end{center}
+
+ Generate 25 million "light flow" photons in a global participating medium
+ with extinction 0.001 (note reduced predistribution factor to prevent
+ overflow):
+ \begin{center}
+ \begin{minipage}{0.95\linewidth}
+ \begin{lstlisting}
+mkpmap -apV bonzo-flo.Vpm 25m -me 0.001 0.001 0.001 \
+ -apD 0.001 bonzo.oct
+ \end{lstlisting}
+ \end{minipage}
+ \end{center}
+
+ \clearpage
+ \section{Rendering Photon Maps with \cmd{rpict}}
+
+ The modified \cmd{rpict} rendering tool takes the photon map
+ generated by \cmd{mkpmap} and performs photon lookups and density
+ estimation. Without photon map functionality enabled, it behaves like
+ \radClassic.
+
+
+
+ \subsection{Caustic Photon Visualisation}
+ \label{sec:causticviz}
+
+ Caustic photons are visualised at points seen directly by the
+ observer, or via specular reflections. Virtual light sources
+ (normally enabled with the \lit{mirror} material) are disabled with
+ the photon map, as the resulting caustics are already accounted
+ for.
+
+ Note that irradiance calculations with \cmd{rtrace} using caustic
+ photons are surface bound; irradiance for points which do not lie on
+ surfaces will therefore be biased. As a workaround, \cmd{mkpmap}
+ offers the \opt{-aps} and \opt{-apS} options to specify an invisible
+ receiver surface with \lit{antimatter} material for storing photons
+ in the same plane as the sensor points. See section \ref{sec:mkpmap}
+ for details.
+
+
+
+ \subsection{Global Photon Visualisation}
+ \label{sec:globalviz}
+
+ Visualisation with a global photon map implies an ambient calculation,
+ thus \cmd{rpict}'s \opt{-ab} option defaults to 1; this differs from the
+ standard \radClassic behaviour, where the ambient calculation must be
+ explicitly enabled.
+
+ Global photon irradiance is visualised via an intermediate ambient
+ bounce (commonly referred to as \emph{final gather} in the literature
+ \cite{Chri2000}, see figure \ref{fig:visualisation}). This reduces
+ noise in the density estimates from the ambient daughter rays, and
+ the resulting ambient irradiance is cached and interpolated as in
+ \radClassic, unless explicitly disabled with the \opt{-aa 0} option.
+
+ \begin{figure}[tb]
+ \centering
+ \fbox{%
+ \begin{minipage}{0.75\linewidth}
+ \includegraphics[width=\linewidth]{visualisation}
+ \parbox{\linewidth}{%
+ \caption{%
+ \label{fig:visualisation}
+ Caustic photons are visualised at the primary
+ ray, while an intermediate stratified sampling
+ step is used between the primary ray and the
+ global photon density estimate
+ (\emph{final gather}).
+ }
+ }
+ \end{minipage}
+ }
+ \end{figure}
+
+ If the global photon irradiance was precomputed by \cmd{mkpmap} with
+ the \opt{-app} option, the ambient daughter rays return the
+ precomputed irradiance from the closest global photons. This improves
+ performance noticeably at the expense of accuracy if the indirect
+ irradiance changes rapidly, which is rarely the case with diffuse
+ illumination.
+
+ Specifying a negative number of ambient bounces \opt{-ab} enables a
+ debugging mode which does not spawn any ambient rays, but directly
+ visualises the global photon irradiance at the primary ray. This
+ provides a very rough but fast preview of the global illumination
+ solution contained in the photon map. Figure \ref{fig:precomp} is an
+ example of a such a preview for a precomputed photon map.
+
+ %Ambient values (specified with \opt{-av}) are ignored. ???
+
+
+ \subsection{Progress Report}
+ \label{sec:rpict.report}
+
+ Bias compensation statistics are provided in the progress report with the
+ standard \opt{-t} option. The statistics for each photon type
+ subject to bias compensation are reported as follows:
+
+ \begin{center}
+ \begin{minipage}{0.95\linewidth}
+ \begin{lstlisting}
+$N_{min}$/$N_{max}$/$N_{avg}$ $ptype$, ($\epsilon_{min}$/$\epsilon_{max}$/$\epsilon_{rms}$ error)
+ \end{lstlisting}
+ \end{minipage}
+ \end{center}
+ where:
+ \begin{itemize}
+ \item \var{N_{min}}, \var{N_{max}} and \var{N_{avg}} is the minimum,
+ maximum, and average number of photons used per density
+ estimate, respectively
+ \item \var{ptype} is one of \lit{global}, \lit{caustic},
+ \lit{volume}, or \lit{direct}.
+ \item \var{\epsilon_{min}}, \var{\epsilon_{max}}, and
+ \var{\epsilon_{rms}} is the minimum, maximum, and RMS (root mean
+ square) estimated relative errors in the resulting irradiance,
+ respectively.
+ \end{itemize}
+
+ Since bias cannot be determined without knowing the actual
+ illumination, there is no reliable way of separating it from noise. As
+ such, the error estimates are approximate and serve as a rough guide
+ to judge the quality of the bias compensation.
+
+
+
+ \subsection{Command Line Arguments for \cmd{rpict}}
+ \label{sec:rpictArgs}
+
+ The photon mapping backward pass is disabled by default and must be
+ explicitly enabled using the \opt{-ap} option. The different photon
+ map types may be renderered independently or in combination. Note
+ that rendering only the global or caustic photon map does not take
+ all light transport paths into consideration at the primary hitpoint.
+ Since modifying the lights or geometry invalidates the photon map, a
+ error is triggered if the octree is newer than the photon map,
+ referring to the latter as ``stale''.
+
+ In general, a physically valid simulation (assuming specular and diffuse
+ materials) with the photon map is obtained with the following basic
+ set of parameters:
+
+ \begin{center}
+ \begin{minipage}{\linewidth}
+ \begin{lstlisting}
+mkpmap -apg $globalpmap$ $nphotons$ -apc $causticpmap$ $nphotons$ $octree$
+
+rpict -ap $globalpmap$ $bwidth$ -ap $causticpmap$ $bwidth$ -ab 1 \
+ -vf $view$ $octree$
+ \end{lstlisting}
+ \end{minipage}
+ \end{center}
+
+ As with \radClassic, the \opt{-ad}, \opt{-ar}, and \opt{-aa}
+ parameters may need to be refined in some cases to improve the
+ rendering quality and accuracy. Some parameters are adopted from
+ \radClassic{} due to their assumed familiarity to the user, and have
+ similar semantics in the context of photon mapping.
+ The \cmd{rpict} photon mapping options are as follows:
+ \begin{description}
+ \item{\opt{-ab} \var{nbounces}}\\
+ This value defaults to 1 in photon mapping mode (see \opt{-ap}
+ below), implying that global photon irradiance is always computed
+ via one ambient bounce; this behaviour applies to any
+ positive number of ambient bounces, regardless of the actual
+ value specified.
+
+ A negative value enables a preview mode
+ that directly visualises the irradiance from the global photon
+ map without any ambient bounces. This is intended for debugging and
+ checking the irradiance distribution, as the quality of the
+ resulting renderings is generally poor with sparsely distributed
+ photons. If the global photons are
+ precomputed, this produces a Voronoi diagram.
+
+ As with \radClassic{},
+ setting this to 0 disables the ambient component, but caustic
+ photon irradiance is still visualised at the primary ray.
+
+ \item{\opt{-ap} \var{pmapfile} \var{[bwidth_1} \var{[bwidth_2]]}
+ \var{[time]}
+ }\\
+ Enables photon mapping mode. Loads a photon map generated with
+ \cmd{mkpmap} from \var{file}, and evaluates the indirect
+ irradiance depending on the photon type (automagically detected)
+ using density estimates with a bandwidth of \var{bwidth_1} photons,
+ or the default bandwidth if none is specified (a warning will be
+ issued in this case).
+
+ Global photon irradiance is evaluated as part of the ambient
+ calculation (see section \ref{sec:globalviz}), caustic photon
+ irradiance is evaluated at primary rays (see section
+ \ref{sec:causticviz}), and indirect inscattering in mist
+ is accounted for by volume photons. Contribution photons are
+ treated as global photons.
+
+ Additionally specifying \var{bwidth_2} enables bias compensation for
+ the density estimates with a minimum and maximum bandwidth of
+ \var{bwidth_1} and \var{bwidth_2}, respectively. See section
+ \ref{sec:biascomp} for details on how bias compensation works.
+
+ Global photon irradiance may be optionally precomputed by
+ \cmd{mkpmap} (see section \ref{sec:precomp}, in which case the
+ bandwidth, if specified, is ignored, as the nearest photon is
+ invariably looked up.
+
+ Using direct photons replaces the direct calculation with
+ density estimates for debugging and validation of photon
+ emission.
+
+ If \var{pmapfile} contains a transient photon
+ map,\footnoteref{note:transient} the photon density estimate
+ will cover the spatio-temporal domain in the vicinity of the
+ specified time-of-flight \var{time}, expressed in
+ seconds.\footnote{Internally, each photon's time-of-flight is
+ represented by the corresponding path length (distance
+ travelled), consequently the lookup is infact performed in
+ the spatial domain, using a distance metric with consistent
+ units.
+ }
+ The transient photons will be rendered at the given point in
+ time subject to their velocity specified with the \opt{-apt}
+ option when generating the photon map with \cmd{mkpmap}.
+
+ \item{\opt{-am} \var{maxdist}}\\
+ Maximum search radius for photon map lookups. Without this
+ option, an initial maximum search radius is estimated for
+ each photon map from the average photon distance to the dis‐
+ tribution's centre of gravity. It is then adapted to the
+ photon density in subsequent lookups.
+
+ This option imposes a
+ global fixed maximum search radius for all photon maps, thus
+ defeating the automatic adaptation. It is useful when multiple
+ warnings about short photon lookups are issued.
+
+ Note that this option does not conflict with the bandwidth
+ specified with the \opt{-ap} option; the number of photons
+ found will not exceed the latter, but may be lower if the maximum
+ search radius contains fewer photons, thus resulting in short
+ lookups. Setting this radius too large, on the other hand,
+ may degrade performance.
+
+ This setting applies to \emph{all} photon maps specified
+ with \opt{-ap}.
+
+ \item{\opt{-ac} \var{pagesize}
+ \footnote{Out-of-core photon mapping is not enabled in the
+ default build. In addition, it is currently
+ not supported on Windows. On platforms that do support it,
+ out-of-core storage must be enabled at compile time with
+ \opt{-DPMAP\_OOC}. To verify if your build supports out-of-core
+ photon mapping, check if the caching options \opt{-ac} and
+ \opt{-aC} appear in the output of \cmd{rpict -help}.
+ \label{note:ooc}
+ }
+ }\\
+ Set the photon cache page size. The photon cache reduces disk I/O
+ incurred by on-demand loading (paging) of photons, and thus
+ increases performance. This is expressed as a (float) multiple
+ of the density estimate bandwidth specified with \opt{-ap}
+ under the assumption that photon lookups are local to a
+ cache page.
+
+ Cache performance is sensitive to this parameter:
+ larger pagesizes will reduce the paging frequency at the
+ expense of higher latency when paging does occur. Sensible
+ values are in the range 4 (default) to 16.
+
+ \item{\opt{-aC} \var{cachesize} \footnoteref{note:ooc}}\\
+ Set the total number of photons cached when using out-of-core
+ photon mapping, taking into account the pagesize specified by
+ \opt{-ac}. Note that this is approximate as the number of
+ cache pages is rounded to the nearest prime. This allows
+ adapting the cache to the available physical memory. In
+ conjunction with the \opt{-n} option, this is the cache
+ size per parallel process.
+
+ Cache performance is less
+ sensitive to this parameter, and reasonable performance can
+ obtained with as few as 10k photons. The default is 1M. This
+ option recognises multiplier suffixes (k = $10^3$, M = $10^6$),
+ both in upper and lower case.
+
+ \item{\opt{-aH}[\lit{+}$|$\lit{-}]} \footnoteref{note:lightflow}\\
+ Boolean switch to enable hemisherical lookups for lightflow
+ photons. See section \ref{sec:altLightFlowIllum} for details.
+
+ \item{\opt{-aS}[\lit{+}$|$\lit{-}]} \footnoteref{note:lightflow}\\
+ Boolean switch to calculate mean spherical, instead of cubic,
+ irradiance from lightflow photons. See section
+ \ref{sec:altLightFlowIllum} for details.
+ \end{description}
+
+ \subsection{Examples}
+
+ To render ambient illuminance with a global photon map \lit{global.pm}
+ via one ambient bounce, and from a caustic photon map \lit{caustic.pm},
+ using a bandwidth of 50 photons for each:
+
+ \begin{center}
+ \begin{minipage}{0.95\linewidth}
+ \begin{lstlisting}
+rpict -ab 1 -ap global.pm 50 -ap caustic.pm 50 \
+ -vf scene.vf scene.oct > scene.hdr
+ \end{lstlisting}
+ \end{minipage}
+ \end{center}
+
+ To render transient luminance at 60 nanoseconds after photon emission
+ using a transient photon map (see option \opt{-apt} in section
+ \ref{sec:mkpmapArgs}):
+
+ \begin{center}
+ \begin{minipage}{0.95\linewidth}
+ \begin{lstlisting}
+rpict -ap bonzo-trans.tpm 50 6e-8 -ab -1 -vf scene.vf \
+ scene.oct > scene.hdr
+ \end{lstlisting}
+ \end{minipage}
+ \end{center}
+
+ Note the use of \opt{-ab -1} in the above example to bypass \radiance{}'s
+ ambient calculation, since the latter can only render the steady-state
+ illumination! See section \ref{sec:transient} for further details on
+ transient rendering.
+
+
+ \clearpage
+ \section{%
+ Precomputed Contribution Photon Mapping (Experimental)%
+ \footnoteref{note:contrib}
+ }
+ \label{sec:lsContribs}
+
+ The \radiance{} photon map supported the
+ computation of light source contributions for annual and
+ climate-based daylight simulation since 2015 \cite{Schr2015}.
+ In this workflow,
+ the scene supplied to \cmd{mkpmap} contains multiple light sources
+ representing either different time-dependent positions (sun positions
+ depending on season and time of day) or sky ``patches'' corresponding
+ to disrete regions in the sky dome modified by seasonal cloud cover
+ (for example from climate-based luminance distributions). All source
+ contributions are aggregated in one efficient simulation.
+ Unlike \cmd{rcontrib}, the photon map only supports contributions
+ from light sources, not arbitrary modifiers, and specifying a non-source
+ modifier results in an error.
+
+ The \cmd{rcontrib} tool supplied with \radiance{} can determine the
+ irradiance for each sun position or sky patch for a given sensor
+ position in the scene, thus efficiently accounting for each source's
+ contribution. In practice, this is done by accumulating the resulting
+ contributions into separate output files for each light source, and
+ optionally into individual ``bins'' that disretise the hemipshere of
+ incident directions at the photons' initial hitpoints immediately
+ after emission (see the \cmd{rcontrib} man page for details on binning
+ fundamentals).
+
+ The original contribution photon mapping implementation has been
+ revised to precompute contributions and store them in pre-assigned
+ bins, which are stored along with the photons in compressed form by
+ \cmd{mkpmap}. The expense of precomputation is amortised through
+ a caching scheme and multiple evaluations by \cmd{rcontrib} in a
+ (more or less dense) grid of sensor positions.
+ This implies that binning parameters
+ are static and already determined when the photon map is generated
+ with \cmd{mkpmap}.
+ This in turn implies a loss of flexibility over the previous
+ implementation, which binned photons dynamically in \cmd{rcontrib},
+ although in practice the binning resolution is rarely changed.
+
+ \begin{figure}[htb]
+ \centering
+ \fbox{%
+ \begin{minipage}{0.90\linewidth}
+ \centering
+ \includegraphics[width=0.8\linewidth]{shirley-chiu2-crop}\\
+ \parbox{\linewidth}{%
+ \caption{%
+ \label{fig:shirleyChiu}
+ Shirley-Chiu disk-to-square mapping used to ``bin''
+ contribution photon directions at their primary
+ hitpoints. This mapping has the desirable (for binning)
+ property of preserving adjacency and fractional area.
+ The disk is obtained by projecting the
+ hemisphere of incident directions on the receiving plane
+ defined by the mapping's normal.
+ }
+ }
+ \end{minipage}
+ }
+ \end{figure}
+
+ In addition, the binning function used by \cmd{mkpmap} is now
+ ``hardwired'' to the Shirley-Chiu disk-to-square mapping
+ \cite{Shir1997}, which maps the hemisphere of incident directions to
+ a square which is equally subdivided into the specified number of bins
+ in both dimensions (see figure \ref{fig:shirleyChiu}).
+ Thus, the user cannot specify an arbitrary mapping
+ function as with \cmd{rcontrib}. This is justified as the square
+ topology is required for the subsequent compression (see below) as
+ compared to a zonal binning such as Tregenza or Reinhart, where the
+ azimuthal resolution depends on the elevation angle.
+ The mapped disk is obtained by projecting the hemisphere of incident
+ directions on the receiving plane defined by the mapping's normal,
+ while the azimuthal angle $\Phi$ = 0 is defined by the mapping's up
+ vector (see options \opt{-e} and \opt{-p} in section \ref{sec:mkpmapArgs}).
+
+ With contribution photon mapping, the modifiers and binning parameters are
+ passed to \cmd{mkpmap} instead of \cmd{rcontrib} using the usual options
+ \opt{-m}, \opt{-bn}. In addition, global and per-modifier
+ variables to set the orientation of the binning function may be specified
+ with the usual options \opt{-e} resp. \opt{-p}
+ (see the discussion of these options in section \ref{sec:mkpmapArgs}).
+ In this respect, \cmd{mkpmap} behaves similarly to \cmd{rcontrib}.
+ Likewise, ray coefficients are supported by \cmd{mkpmap} via the
+ usual \opt{-V-} option, which amounts to normalising the emission of each
+ light source. However, this option cannot be reverted in \cmd{rcontrib}
+ when the photon map is loaded, and the option, if specified, will be
+ overridden in this case.
+ The number of bins specified with \opt{-bn} must be an integer square for
+ the Shirley-Chiu mapping, and will be rounded to the nearest such number
+ by \cmd{mkpmap} if necessary.
+
+ In support of light source contributions, \cmd{mkpmap} uses a
+ modified photon distribution algorithm via the \opt{-apC} option that
+ ensures each light source contributes approximately the same number
+ of photons, irrespective of its emitted flux. To compensate and
+ maintain energy balance, the flux of each photon is adjusted
+ accordingly, which can raise the variance of the resulting contributions.
+
+ The generated photon map \var{pmapfile} contains a set of child
+ photon maps for each specified modifier \var{mod}. Each child photon map
+ (stored in a subdirectory \lit{<pmapfile>.rc/} in turn contains the
+ photons emitted by light sources using this modifier. The photons are
+ stored out-of-core in a file \lit{<pmapfile>.rc/<mod>.leaf}
+ and paged on demand by \cmd{rcontrib}, as with regular (global, caustic
+ etc.) photons.
+ In addition, the binned and compressed contributions are stored in a
+ separate file \lit{<pmapfile>.rc/<mod>.wvt}.
+ An overview of this workflow with the inner workings of both
+ \cmd{mkpmap} and \cmd{rcontrib} is shown in figure
+ \ref{fig:contribOverview}.
+
+ Once the photons are distributed, a fraction of them is precomputed.
+ As with the precomputed global photon map, this precomputation factor
+ is specified with the \opt{-apP} option. A nearest neighbour search
+ using the bandwidth specified with the \opt{-apC} option is performed
+ in the neighbourhood of each precomputed photon, and the contributions
+ from each found photon \emph{emitted from the same light source modifier}
+ is accumulated for the precomputed photon in the specified number of bins.
+ If the bandwidth specified for precomputation is less than the number of
+ bins, a warning is issued, since some bins will be zero. As a rule of
+ thumb the bandwidth should be a multiple of the number of bins, which
+ in practice leads to large bandwidths (though bias is distributed over
+ the bins in this case).
+
+
+
+ \subsection{Wavelet Compression of Contributions}
+
+ The binned contributions for each precomputed photon can be compressed
+ to manage the size of the out-of-core contribution files, which can
+ easily exceed the terabyte range (assuming the underlying filesystem
+ even supports such sizes). To this end, \cmd{mkpmap}'s \opt{-apC} option
+ expects also a compression ratio \var{comp} in the range [0,1], which
+ specifies the space savings, where 0 implies no compression at all.
+ This compression ratio applies to all photons and all modifiers.
+
+ The contribution photon map uses a wavelet compression scheme, whereby
+ the binned contributions for each photon map are projected onto
+ biorthogonal basis functions (wavelets) and decomposed into a set of
+ corresponding coefficients. The binned contributions are represented as a
+ 2D matrix (the Shirley-Chiu square) and decomposed into coefficients along
+ both axes. The coefficients consist of a set that act as low pass filters
+ (approximations) and a second set the act as high pass filter (details).
+ The latter set is much larger and therefore subject to compression.
+
+ The contribution photon map uses a Daubechies DB2 wavelet
+ function\footnote{\url{http://wavelets.pybytes.com/wavelet/db2}} with
+ a support of 4 neighbouring samples (see crazy squiggles in figure
+ \ref{fig:daubechies}). This popular wavelet function offers
+ an acceptable compromise between compression and computational expense
+ (as its support is limited to four neighbouring samples). The wavelet
+ transform is similar to the Fourier transform in that it decorellates
+ the input signal (in this case the 2-dimensional matrix of binned
+ contributions) in both the spatial and frequency domains. This means that
+ detail coefficients will be low in regions where the signal exhibits
+ periodic behaviour, and at various intervals (corresponding to frequency
+ bands).
+
+ \begin{figure}[htb]
+ \centering
+ \fbox{%
+ \begin{minipage}{0.905\linewidth}
+ \centering
+ \includegraphics[width=0.7\linewidth]{Daubechies4-functions}\\
+ \parbox{\linewidth}{%
+ \caption{%
+ \label{fig:daubechies}
+ Daubechies DB2 biorthogonal wavelet functions
+ with a support of 4 neighbouring samples (or ``taps'').
+ The red wavelet function decomposes the samples into
+ detail (high frequency) coefficients, while the blue
+ scaling function (itself derived from, and orthogonal
+ to, the wavelet) decomposes the samples into approximation
+ (low frequency) coefficients. What this stuff looks like
+ in 2D is left up to the reader's imagination...
+ }
+ }
+ \end{minipage}
+ }
+ \end{figure}
+
+ \begin{figure}[p]
+ \fbox{%
+ \begin{minipage}{\linewidth}
+ \begin{minipage}{0.49\linewidth}
+ \centering
+ \includegraphics[width=\linewidth]{%
+ cpmapTest-64m-bn256-3200-comp0.5%
+ }\\
+ Compression 0.5
+ \end{minipage}
+ \hfill
+ \begin{minipage}{0.49\linewidth}
+ \centering
+ \includegraphics[width=\linewidth]{%
+ cpmapTest-64m-bn256-3200-comp0.6%
+ }\\
+ Compression 0.6
+ \end{minipage}\\[3mm]
+ \begin{minipage}{0.49\linewidth}
+ \centering
+ \includegraphics[width=\linewidth]{%
+ cpmapTest-64m-bn256-3200-comp0.7%
+ }\\
+ Compression 0.7
+ \end{minipage}
+ \hfill
+ \begin{minipage}{0.49\linewidth}
+ \centering
+ \includegraphics[width=\linewidth]{%
+ cpmapTest-64m-bn256-3200-comp0.8%
+ }\\
+ Compression 0.8
+ \end{minipage}\\[3mm]
+ \centering
+ \begin{minipage}{0.49\linewidth}
+ \centering
+ \includegraphics[width=\linewidth]{%
+ cpmapTest-64m-bn256-3200-comp0.9%
+ }\\
+ Compression 0.9
+ \end{minipage}\\[3mm]
+ \parbox{\linewidth}{%
+ \caption{%
+ \label{fig:contribCompression}
+ 3D plots of contributions calculated by \radClassic{}
+ (blue) and photon map (red) from annual sun positions
+ in 256 bins. The contributions are accumulated for an
+ interior floor sensor located in a simple square test room
+ symmetrically lit from fenestrations facing east and west.
+ The contribution photon map was compressed with ratios
+ of 0.5 to 0.9. In this example, compression artefacts
+ appear at the boundaries (corresponding to the horizon)
+ with 80\% compression and above. This is a known limitation
+ of wavelet compression if the input signal exhibits high
+ gradients at the boundary.
+ }
+ }
+ \end{minipage}
+ }
+ \end{figure}
+
+ However, unlike the Fourier basis functions $\sin$ and $\cos$,
+ wavelets have a finite support (the 4 neighbouring samples in case of DB2),
+ which does not lead to ripple artefacts exbhibited by the Fourier and
+ cosine transforms (the latter used in the JPEG image format, for example).
+ This desirable property, together with the ability to decorellate the
+ signal in discrete frequency bans, enables wavelets to preserve localised
+ peaks in the input signal even at high compression ratios. Like Fourier,
+ the ability to analyse signals at various frequencies makes wavelets
+ suitable for applications in filter banks.
+
+ Wavelet compression is realised by thresholding the
+ \var{100 \cdot comp}\% smallest detail coefficients (implicitly setting
+ them to zero without actually saving them), under the assumption they are
+ negligible for the reconstructed signal as a whole.
+ \textbf{This means wavelet compression is \underline{lossy} and may
+ introduce artefacts in the high frequency content of the reconstructed
+ contributions}. There is currently no mechanism in place to limit these
+ artefacts, and the choice of an approriate compression ratio is left
+ up the user's judgement (and his/her experience). In general, a compression
+ ratio of 0.6--0.7 can be considered relatively ``safe'', while ratios
+ of 0.8 or above should be used for sky contributions only (exluding solar
+ ones), since these typically exhibit low gradients.
+
+ Since the compression ratio is fixed, so is the number of resulting
+ compressed coefficients. While an adaptive number of thresholded
+ coefficients would reduce compression artefacts, a fixed number of
+ thresholded coefficients substantially reduces overhead when accessing
+ contribution records in the out-of-core contribution file (which actually
+ contains the thresholded wavelet coefficients).
+
+ The number of wavelet coefficients (and indirectly, the number of bins)
+ that can be compressed is limited by the wavelet matrix indices that are
+ saved along with the remaining coefficients after thresholding. These
+ indices are compactly encoded with a differential scheme and embedded
+ with the coefficients themselves. This differential encoding can overflow
+ if the remaining coefficients become too sparse, particularly for
+ large numbers of bins and high compression ratios. This overflow cannot be
+ predicted as it depends on the distribution of thresholded coefficients,
+ which in turn depends on the frequency content and energy distribution of
+ the contributions. However, \cmd{mkpmap} will issue a warning before
+ precomputing contributions if the encoding \emph{may} overflow for the
+ given number of bins.
+
+
+ \subsection{Evaluating Precomputed Contributions with \cmd{rcontrib}}
+ \label{sec:rcontribPmap}
+
+ The precomputed contribution photon map is loaded in \cmd{rcontrib}
+ with the usual \opt{-ap} option, and the precomputed contributions
+ from the nearest photon to each specified sensor position are accumulated,
+ in the specified number of bins.
+ If the photon map contains precomputed contributions as opposed to
+ coefficients (toggled via the boolean option \cmd{-V}), this setting
+ will be automatically overriden in \cmd{rcontrib}, accompanied by a
+ corresponding warning.
+
+ The binning parameters passed to \cmd{rcontrib} must agree with
+ those used to generate the photon map. This is necessary in particular
+ to correctly bin primary and specular rays incident on the sensors,
+ as these are not precomputed by the photon map.
+ Because \cmd{rcontrib} allocates its bins and output streams on-the-fly,
+ i.e. as it parses its command line arguments, they cannot be overriden
+ when the photon map is subsequently loaded (at which point its binning
+ parameters are actually known)\footnote{Well, at least they can't be
+ overridden without disastrous side-effects which would make Don Gregorio
+ very angry... \textbf{;\^{})}}.
+
+ Consequently, \cmd{mkpmap} dumps its relevant binning parameters and
+ modifiers to an option file, named after the photon map with an \lit{.opt}
+ suffix. This file must be passed to
+ \cmd{rcontrib} via its \cmd{@} option to ensure its binning is consistent
+ with that of the precomputed contributions in the photon map.
+ \cmd{rcontrib} will report an error if the bin count (defaulting to 1 if
+ omitted) doesn't match the photon map's, and suggest using the option file.
+ When using the option file, it is not necessary to specify the modifiers
+ with the \opt{-m} option, as these are already included in the file.
+ The user may edit the option file to set per-modifier output streams
+ if necessary.
+
+
+
+ \subsection{Examples}
+ \label{sec:contribExamples}
+
+ A typical invocation of the \radiance{} photon map with light source
+ contributions consists of the following:
+ \begin{center}
+ \begin{minipage}{\linewidth}
+ \begin{lstlisting}
+mkpmap -apC bonzo.Cpm 50m 2500 0.75 -apP 0.1 -bn 256 -m bonzoLite \
+ -V+ bonzo.oct
+
+rcontrib -ap bonzo.Cpm -o %s-contrib.dat @bonzo.Cpm.opt \
+ bonzo.oct < sensors.pos
+ \end{lstlisting}
+ \end{minipage}
+ \end{center}
+ where \lit{bonzoLite} is the light source modifier to bin, and
+ \lit{sensors.pos} is a file containing a list of sensor positions as
+ input for the irradiance calculation. The contributions
+ are output to a separate file for each modifer (in this case just
+ \lit{bonzoLite-contrib.dat}).
+ Note that \cmd{mkpmap} also generates the option file \lit{bonzo.Cpm.opt},
+ which is passed to \cmd{rcontrib} to ensure its binning and modifier
+ options are consistent with those precomputed in the photon map.
+
+ An example of a visual analysis of a redirecting component for a half
+ year using contribution photons is shown in figure
+ \ref{fig:koester-luxtherm-half}. The performance of the system
+ (consisting of retroreflecting blinds) can be assessed subject to
+ seasonal daylight availability. Redirection towards the ceiling is
+ evident particularly from January to April. Transmission, on the
+ other hand, occurs at low solar angles until March, before
+ transitioning into retroreflection at high solar angles.
+
+ \begin{figure}[p]
+ %\centering
+ \fbox{%
+ \begin{minipage}{\linewidth}
+ \includegraphics[width=\linewidth]{koester-luxtherm-half}
+ \parbox{\linewidth}{%
+ \caption{%
+ \label{fig:koester-luxtherm-half}
+ Retroreflecting blinds at 26 solar angles for a half year
+ (January to June, in weekly intervals) rendered with
+ contribution photon map and \cmd{rcontrib}. In each instance
+ the time of day is 1:00pm. Redirection and transmission dominate
+ until March, while retroreflection dominates in the following
+ months.
+ }
+ }
+ \end{minipage}
+ }
+ \end{figure}
+
+ \newgeometry{left = 1cm, right = 1cm, top = 1cm, bottom = 2cm}
+ \begin{figure}[p]
+ \fbox{%
+ \begin{minipage}{\linewidth}
+ \includegraphics[width=\linewidth]{contribpmap-overview2-crop}
+ \parbox{\linewidth}{%
+ \caption{%
+ \label{fig:contribOverview}
+ Overview of contribution photon mapping workflow.
+ Green paths denote inputs (parameters and sensor
+ positions), while red paths denote output.
+ Light source contributions for modifier \var{mod} are
+ binned using an \var{nbins^2}
+ Shirley-Chiu disk-to-square mapping, and wavelet
+ compressed for a fraction \var{precomp} of photons by
+ \cmd{mkpmap}. These contributions are saved along with
+ the corresponding photons in separate files for each
+ modifier, grouped in a subdirectory under the parent
+ photonmap \var{pmapfile}.
+ The photons and their precomputed contributions are
+ subsequently paged on demand, uncompressed, and cached by
+ \cmd{rcontrib}, which passes the contributions to
+ the standard contribution calculation used by
+ \radClassic{}.
+ }
+ }
+ \end{minipage}
+ }
+ \end{figure}
+ \restoregeometry
+
+
+
+ \clearpage
+ \section{%
+ Lightflow Photon Mapping (Experimental)%
+ \footnoteref{note:lightflow}
+ }
+ \label{sec:lightFlow}
+
+ ``Lightflow'' is an experimental method for architectural lighting design
+ and research to analyse the ``flow'' of light based on volume photon
+ mapping. Unlike surface-bound global or caustic photons, lightflow photons
+ represent the lighting distribution in abritrary space, much like a light
+ field, as it can convey directional illuminance \cite{Schr2021a, Yosh2022}.
+ As a precondition, the space must be enveloped by a participating medium
+ (i.e. global or locally defined \lit{mist}).
+
+ Lightflow photons are a specialised variant of volume photons which are not
+ scatter in participating media. When a lightflow photon map is generated,
+ participating media implicitly have an albedo $\alpha$ and scattering
+ eccentricity $g$ of 1 (i.e. no absorption and forward scattering,
+ respectively, see figure \ref{fig:lightFlowDistrib}).
+ Consequently, the photons are deposited
+ within the medium, but their paths are not altered. The density of the
+ deposited photons along each path is controlled by the coefficient of
+ extinction $\sigma_t$, and is considered a free parameter here.
+ Because the extinction alters the
+ photon density, it also affects the illuminance obtained from the photons,
+ consequently the photon flux $\Delta\Phi_p$ is automatically scaled by
+ $1 / \sigma_t$ in lightflow mode to compensate.
+
+ \begin{figure}[htb]
+ \centering
+ \fbox{%
+ \begin{minipage}{0.9\linewidth}
+ \centering
+ \includegraphics[width=0.8\linewidth]{isoscatter4-crop}
+ \flushright{%
+ \includegraphics[width=0.7565\linewidth]{noscatter2-crop}
+ } \\
+ \parbox{\linewidth}{%
+ \caption{%
+ \label{fig:lightFlowDistrib}
+ Top: Volume photons (red spheres) interact with particles
+ (white spheres) in participating media, and are scattered
+ with probability $\alpha$ (corresponding to the albedo),
+ and with a directional distribution determined by the
+ eccentricity $g$.\\
+ Bottom: lightflow photons are neither absorbed nor scattered
+ (or forward scattered) by the medium, and consequently their
+ paths are not altered, corresponding to an albedo and
+ eccentricity of 1.\\
+ In both cases, the extinction $\sigma_t$ determines the
+ mean free distance $\bar{s}$ of the photon between
+ interactions, and therefore the density with which they are
+ deposited in the medium.
+ }
+ }
+ \end{minipage}
+ }
+ \end{figure}
+
+ The extinction is a critical parameter in lightflow mode, as it has a
+ strong influence on the photon distribution and the resulting evaluation.
+ Generally, this parameter should be kept as low as possible, but this
+ prolongs photon distribution with \cmd{mkpmap}, as more photon paths need
+ to be generated. On the other hand, if the extinction parameter is too
+ large, the resulting cubic illuminance (see section \ref{sec:cubicIllum})
+ becomes severely biased. This bias is due to linear clustering of photons
+ along their paths, and is visually evident in the photon distribution
+ (see figure \ref{fig:lightFlowKaze}). This phenomenon is well
+ known with ill-posed mathematical models of participating media and
+ referred to as the \textit{ray effect} \cite{Lath1968}. As a general
+ rule, an extinction of $\sigma_t = 0.001$ would be a reasonable starting
+ value for most scenes.
+
+ There is an additional caveat with using higher extinction values, namely
+ that the two-pass photon distribution algorithm used by \cmd{mkpmap} to
+ achieve the target number of photons may fail. The default fraction of
+ photons emitted in the 1st pass (prepass) of \cmd{mkpmap} is tuned for
+ well-behaved geometry and materials using global or caustic photons.
+ This predistribution factor (see option \opt{-apD} in
+ section~\ref{sec:mkpmapArgs}) may be too high for volume photons in a
+ dense participating medium, and the photon distribution overflows in
+ the prepass with a ``photon map overflow'' error, meaning that the target
+ photon count was already exceeded. When using lightflow photons, the
+ predistribution factor may consequently need to be reduced from its
+ default if the prepass overflows.
+
+
+
+ \subsection{Cubic Illuminance from Lightflow Photons}
+ \label{sec:cubicIllum}
+
+ Lightflow photons can be used to analyse how light propagates in space.
+ In a quantitative analysis in particular, \cmd{rtace} can evaluate
+ \textit{cubic illuminance} \cite{Cutt2014} at given sensor positions.
+ This illuminance metric
+ is originally intended to conveniently measure a lightfield using six
+ measurements aligned with the three orthogonal axes passing through the
+ faces of a cube, in positive and negative directions (see figure
+ \ref{fig:cubicIllum}); this approximates the mean spherical illuminance.
+ (The orientation of the cube in world coordinates may be
+ arbitrary).
+ The resulting six illuminance readings $E_i$ can be aggregated into a
+ vector and reduced to scalar values that express both the symmetric and
+ directional (vector) components of the illuminance:
+ \begin{eqnarray}
+ \vec{E} &=&
+ \begin{bmatrix}
+ E_{+u} - E_{-u} \\
+ E_{+v} - E_{-v} \\
+ E_{+w} - E_{-w}
+ \end{bmatrix}
+ \label{eq:vectorIllum} \\
+ \vec{E}^\sim &=&
+ \begin{bmatrix}
+ E_{+u} + E_{-u} \\
+ E_{+v} + E_{-v} \\
+ E_{+w} + E_{-w}
+ \end{bmatrix} -
+ \frac{1}{2}
+ \begin{bmatrix}
+ \|E_u\| \\
+ \|E_v\| \\
+ \|E_w\|
+ \end{bmatrix} =
+ \begin{bmatrix}
+ \min\left(E_{+u}, E_{-u}\right) \\
+ \min\left(E_{+v}, E_{-v}\right) \\
+ \min\left(E_{+w}, E_{-w}\right)
+ \end{bmatrix}
+ \label{eq:symmIllum} \\
+ E_{sr} &=& \frac{\|\vec{E}\|}{4} \ + \
+ \frac{\sum_{i \in \left\{u, v, w\right\}} E_i^\sim}{3}
+ \label{eq:scalarIllum}
+ \end{eqnarray}
+ where eq.~\ref{eq:vectorIllum} is the illuminance vector $\vec{E}$
+ corresponding to the directional component, eq.~\ref{eq:symmIllum} is the
+ symmetric illuminance $\vec{E}^\sim$ corresponding to a "diffuse" term, and
+ eq.~\ref{eq:scalarIllum} is the scalar illuminance $E_{sr}$ which reduces
+ both the aggregate vector and symmetric terms to a convenient scalar term,
+ the latter approximating the mean spherical illuminance.
+ Furthermore, the vector/scalar illuminance ratio $\|\vec{E}\| / E_{sr}$
+ serves as an index for the directionality of light,
+ ranging from 0 (completely diffuse) to 4 (unilaterally lit).
+
+ \begin{figure}[htb]
+ \centering
+ \fbox{%
+ \begin{minipage}{0.65\linewidth}
+ \centering
+ \includegraphics[width=0.6\linewidth]{cubicillum2-crop}
+ \parbox{\linewidth}{%
+ \caption{%
+ \label{fig:cubicIllum}
+ Cubic illuminance configuration according to Cuttle.
+ }
+ }
+ \end{minipage}
+ }
+ \end{figure}
+
+ When \cmd{rtrace} loads a lightflow photon map, the normal ambient
+ calculation is disabled, and the \opt{-ab} option automatically defaults
+ to -1, meaning that no ambient rays are traced,
+ and cubic illuminance is directly evaluated at the sensor positions.
+ To evaluate cubic illuminance for a single sensor position, \cmd{rtrace}
+ must be supplied with 6 input records, consisting of a vector
+ $\vec{v} \in \left\{\pm\vec{u}, \pm\vec{v}, \pm\vec{w}\right\}$
+ corresponding to one of the 6 cube axes, and the sensor position $\vec{x}$,
+ which
+ is identical for all 6 input records\footnote{This parametrisation
+ is obviously redundant, but necessitated by \cmd{rtrace}'s input
+ record format.}:
+ \begin{eqnarray*}
+ \vec{x} & \vec{u} \\
+ \vec{x} & -\vec{u} \\
+ \vec{x} & \vec{v} \\
+ \vec{x} & -\vec{v} \\
+ \vec{x} & \vec{w} \\
+ \vec{x} & -\vec{w},
+ \end{eqnarray*}
+ This input yields the illuminance $E_i$ for each axis as output from
+ \cmd{rtrace}:
+ \begin{eqnarray*}
+ E_{+u,r} & E_{+u,g} & E_{+u,b} \\
+ E_{-u,r} & E_{-u,g} & E_{-u,b} \\
+ \ldots \\
+ E_{+w,r} & E_{+w,g} & E_{+w,b} \\
+ E_{-w,r} & E_{-w,g} & E_{-w,b},
+ \end{eqnarray*}
+ where $\left\{r, g, b\right\}$ denote the red, green and blue illuminance
+ components, respectively.
+ The illuminance vector $\vec{E}$, symmetric illuminance $\vec{E}^\sim$ and
+ the scalar illuminance $E_{sr}$ can be calculated from \cmd{rtrace}'s
+ output using a separate script as a postprocess. While it would be
+ convenient for \cmd{rtrace} to calculate $E_{sr}$ directly, this
+ is deemed too inflexible, since the RGB illuminance vector $\vec{E}$
+ could no longer be derived from this output, making it impossible to
+ assess directionality and colour bleeding, for example.
+
+
+
+ \subsection{Hemispherical and Mean Spherical Illuminance from Lightflow
+ Photons
+ }
+ \label{sec:altLightFlowIllum}
+
+ This section documents very hush-hush, totally semi-secret options for
+ alternative illuminance evaluation using lightflow photons. These options
+ are not documented in \cmd{rtrace}'s manpage as they are considered too
+ obscure and nobody gives a stuff about them anyway.
+ They are mainly included for testing and comparison and really
+ aren't terribly interesting to anyone. No, really.
+
+ Per default, the photons for each sensor position are located with a
+ nearest neighbour search in a spherical volume (see
+ upper figure~\ref{fig:lightFlowLookup}), and projected onto the plane
+ defined by the given cube axis (curresponding to the cube face). This
+ differs from the volume density estimate used to calculate instattering
+ from volume photons, which by definition is not referenced to any surface.
+
+ \begin{figure}[htb]
+ \centering
+ \fbox{%
+ \begin{minipage}{\linewidth}
+ \hfill
+ \includegraphics[width=0.48\linewidth]{sphillum3-crop}
+ \hfill
+ \includegraphics[width=0.48\linewidth]{hemisphillum3-crop}
+ \hfill\\
+ \parbox{\linewidth}{%
+ \caption{%
+ \label{fig:lightFlowLookup}
+ Lightflow photon lookups in spherical (left) and
+ hemispherical (right) volumes; photons accepted for the
+ density estimate are highlighted in red. In the latter case,
+ photons below the lookup plane are ignored, regardless
+ of whether they are incident from the front of back of the
+ plane. While this is theoretically more accurate, it will
+ lead to a larger search radius (not shown in relative scale
+ here) in order to locate the same number of photons as in a
+ spherical lookup, which may in turn increase bias.
+ }
+ }
+ \end{minipage}
+ }
+ \end{figure}
+
+ Alternatively, the photons for each sensor position can be located in
+ a hemispherical volume (see lower figure~\ref{fig:lightFlowLookup});
+ this is theoretically more accurate for
+ asymmetric illuminace, as photons located behind the plane defined by
+ each cube axis are not included in the density estimate. However, this
+ means the search radius is enlarged compared to a spherical lookup for
+ the same number of photons, which may increase bias.
+ The boolean \opt{-aH} option to \cmd{rtrace} enables hemispherical
+ lookups; this option is disabled per default, resulting in spherical
+ lookups.
+
+ Per default, lightflow photons are evaluated with the abovementioned
+ cubic illuminace. For the purposes of comparison, the photons can also
+ be evaluated in terms of the mean spherical illuminance (which cubic
+ illuminance is designed to approximate). In this case, the vectors
+ passed to \cmd{rtrace} are ignored (since mean spherical illuminace is
+ rotationally invariant), and a single input record per sensor position
+ suffices. The boolean \opt{-aS} option toggles between cubic illuminance
+ (disabled, the default), and mean spherical illuminance (enabled).
+ Note that mean spherical illuminance (\opt{-aS+}) and hemispherical
+ lookups (\opt{-aH+}) are mutually exclusive options.
+
+
+
+ \subsection{Lightflow Photon Visualisation}
+ \label{sec:lightFlowViz}
+
+ In addition to cubic illuminance, lightflow photons can also be
+ visually analysed in terms of their distribution with \cmd{pmapdump}
+ (see section~\ref{sec:pmapdump}). The \opt{-a} option of \cmd{pmapdump}
+ is particularly useful to generate a point list of lightflow photons
+ which can be interactively visualised in a suitable 3D point cloud viewer,
+ such as the open source CloudCompare software%
+ \footnote{\url{http://www.cloudcompare.org/}}. This facilitates
+ visually identifying concentrations of photons, which can in turn
+ reveal the location of light sources or scattering surfaces that
+ contribute significantly to the illuminance in space (see
+ figure~\ref{fig:lightFlowKaze}).
+ Furthermore, the illuminance vector (eq.~\ref{eq:vectorIllum}) can be
+ evaluated by \cmd{rtrace} in a sensor grid, and interactively visualised
+ (see figure~\ref{fig:lightFlowKazeVec}) for example using a ``cone''
+ representation.
+
+ \begin{figure}[p]
+ \fbox{%
+ \begin{minipage}{\linewidth}
+ \centering
+ \includegraphics[width=0.82\linewidth]{lightFlowKaze-0.001}\\[4mm]
+ \includegraphics[width=0.82\linewidth]{lightFlowKaze-0.01} \\[4mm]
+ \includegraphics[width=0.82\linewidth]{lightFlowKaze-0.1}
+ \parbox{\linewidth}{%
+ \caption{%
+ \label{fig:lightFlowKaze}
+ Lightflow photon distributions generated with extinction
+ values of 0.001 (top), 0.01 (middle), and 0.1 (bottom),
+ then extracted with \cmd{pmapdump} and visualised in
+ an interactive 3D modelling tool.
+ In this example, two lightflow photon maps from different
+ fenestrations (skylights in yellow, lower side window
+ in blue) were separately generated and dumped with
+ different colours
+ (using \cmd{pmapdump}'s \opt{-c} option), and output as a
+ point list with the \opt{-a} option.
+ With an extinction of 0.1 (bottom), the ``ray effect'' sets
+ in as photons are linearly clustered along their paths,
+ leading to biased illuminance. An extinction of 0.01 or
+ below is optimal for this scene.
+ Model courtesy of Prof. Nozomu Yoshizawa, Tokyo University
+ of Science.
+ }
+ }
+ \end{minipage}
+ }
+ \end{figure}
+
+ \begin{figure}[htb]
+ \centering
+ \fbox{%
+ \begin{minipage}{0.95\linewidth}
+ \centering
+ \includegraphics[width=\linewidth]{lightFlowKazeVec}
+ \parbox{\linewidth}{%
+ \caption{%
+ \label{fig:lightFlowKazeVec}
+ Illuminance vectors derived from lightflow photons in
+ figure \ref{fig:lightFlowKaze} represented by cones,
+ where the cone's orientation corresponds to
+ the dominant direction of the light flow at a given
+ sensor position, and the cone's length corresponds to
+ the vector magnitude.
+ }
+ }
+ \end{minipage}
+ }
+ \end{figure}
+
+
+
+ \subsection{Examples}
+
+ In the following example, \cmd{mkpmap} generates 25 million lightflow
+ photons in a global participating medium with extinction 0.001 (note the
+ use of the \opt{-apD} option to reduce the predistribution factor and
+ prevent an overflow during photon distribution). A subsequent call to
+ \cmd{rtrace} evaluates the illuminance $E_i$ along 6 axes at the origin
+ with a bandwidth of 2000 photons, and passes these to an \cmd{rcalc}
+ invocation. The latter (which would usually be coded in a script or a
+ \lit{.cal} file) calculates the illuminance vector \var{E}, the symmetric
+ illuminance \var{Esym} and the scalar illuminance \var{Esr}.
+
+ \begin{center}
+ \begin{minipage}{\linewidth}
+ \begin{lstlisting}
+mkpmap -apV bonzo.Vpm 25m -me .001 .001 .001 -apD .001 bonzo.oct
+
+echo 0 0 0 1 0 0 0 0 0 -1 0 0 \
+ 0 0 0 0 1 0 0 0 0 0 -1 0 \
+ 0 0 0 0 0 1 0 0 0 0 0 -1 | \
+rtrace -I -h -ap bonzo.Vpm 2000 | rlam - - - - - - | \
+rcalc -f rayinit.cal \
+ -e 'Exp = grey($\$$1, $\$$2, $\$$3); Exn = grey($\$$4, $\$$5, $\$$6);
+ Eyp = grey($\$$7, $\$$8, $\$$9); Eyn = grey($\$$10, $\$$11, $\$$12);
+ Ezp = grey($\$$13, $\$$14, $\$$15); Ezn = grey($\$$16, $\$$17, $\$$18);
+ Ex = Exp-Exn; Ey = Eyp-Eyn; Ez = Ezp-Ezn;
+ Esymx=min(Exp,Exn); Esymy=min(Eyp,Eyn); Esymz=min(Ezp,Ezn);
+ Esr = sqrt(Ex*Ex + Ey*Ey + Ez*Ez)/4 + (Esymx + Esymy + Esymz)/3;
+ $\$$1=Ex; $\$$2=Ey; $\$$3=Ez; $\$$4=Esymx; $\$$5=Esymy; $\$$6=Esymz; $\$$7=Esr'
+ \end{lstlisting}
+ \end{minipage}
+ \end{center}
+
+ The coloured lightflow photons in figure \ref{fig:lightFlowKaze} were
+ obtained from separate lightflow photon maps with the following commands:
+ \begin{center}
+ \begin{minipage}{0.95\linewidth}
+ \begin{lstlisting}
+mkpmap -apV kazenooka-skylight.Vpm -apo skylight 20m -apD 1 \
+ -me .001 .001 .001 -apH kazenooka-roi.txt kazenooka.oct
+
+mkpmap -apV kazenooka-sidelight.Vpm -apo sidelight 20m -apD 1 \
+ -me .001 .001 .001 -apH kazenooka-roi.txt kazenooka.oct
+
+pmapdump -a -n 20k -c 255 255 0 kazenooka-skylight.Vpm \
+ -a -n 20k -c 0 0 255 kazenooka-sidelight.Vpm > kazenooka.xyz
+ \end{lstlisting}
+ \end{minipage}
+ \end{center}
+
+ In this example, lightflow photons are separately emitted from a set of
+ skylights and a side fenestration with \cmd{mkpmap} by alternately
+ specifying their respective modifiers as ports with the \opt{-apo}
+ option (see section \ref{sec:ports}.
+ The space in the interior contains a global mist of extinction
+ 0.001 as specified with the \opt{-me} option. The photons are constrained
+ to lie only in the interior using a polyhedral region of interest (ROI)
+ specified with the \opt{-apH} option (see section \ref{sec:roi}); this is
+ more convenient than using a rectangular ROI with \opt{-api} due to the
+ octagonal geometry.
+ The subsequent \cmd{pmapdump} invocation outputs a combined ASCII point
+ list from both photon maps by specifying individual colours (yellow and
+ blue) to distinguish the photons in terms of their emitting ports.
+ Figure \ref{fig:polyroi} was similarly for the same scene, but with
+ a single \cmd{mkpmap} invocation using both ports, and without
+ \cmd{pmapdump}'s \opt{-a} option, which then outputs a \radiance{} scene
+ description instead,
+
+
+
+ \clearpage
+ \section{%
+ Transient Photon Mapping (Experimental)\footnoteref{note:transient}
+ }
+ \label{sec:transient}
+
+ We perceive, measure and therefore also tend to simulate light in a steady
+ state, because (most of us) can't discern movement at the speed of light.
+ Standard photon mapping techniques locate photons in the spatial
+ neighbourhood of a given point to evaluate illuminance. This, like
+ \radClassic{} and the overwhelming majority of lighting simulation
+ tools, assumes that the lighting distribution is in \emph{steady state},
+ i.e. illuminance and luminance do not change over time, much as you would
+ expect light to remain constant when you flick a switch as you enter
+ a room (unless the bulb pops or you've dropped acid).
+
+ \emph{Transient rendering} is a relatively new field in computer
+ graphics on the other hand, adds a temporal dimension
+ to the lighting simulation, resulting in a \emph{spatiotemporal}
+ domain \cite{Jara2014}. This means the lighting distribution is now a
+ function of the time $t$, and no longer steady. Specifically, it enables
+ the simulation of light propagation at specific instances in time.
+ This can offer insight into the light transport process in an architectural
+ interior for example (similarly to the concept of ``light flow''
+ described in section \ref{sec:lightFlow} from which it is infact
+ derived).
+
+ In particular, transient rendering can be used to assess
+ directional qualities of light that may be subdued and no longer
+ apparent in the steady state, and to study the influence of individual
+ fenestrations, skylights and scattering surfaces in temporal isolation.
+ Temporal colour bleeding effects, in particular, may be studied before
+ they are neutralised in steady state (see figure \ref{fig:cornellTrans}).
+ In the context of a photon mapping implementation, the photons are then
+ located in a spatiotemporal neighbourhood of a given point \emph{and a
+ given time}. Due to the additional temporal dimension, transient
+ photon maps need to be considerably larger than steady-state ones
+ of comparable quality.
+
+ \begin{figure}[p]
+ \fbox{%
+ \begin{minipage}{\linewidth}
+ \centering
+ \begin{minipage}{0.35\linewidth}
+ \centering
+ \includegraphics[width=\linewidth]{cornell-tpm1}\\
+ $t$ = 2.2 nsec
+ \end{minipage}
+ \hspace{4mm}
+ \begin{minipage}{0.35\linewidth}
+ \centering
+ \includegraphics[width=\linewidth]{cornell-tpm2}\\
+ $t$ = 3.2 nsec
+ \end{minipage}\\[4mm]
+ \begin{minipage}{0.35\linewidth}
+ \centering
+ \includegraphics[width=\linewidth]{cornell-tpm3}\\
+ $t$ = 3.8 nsec
+ \end{minipage}
+ \hspace{4mm}
+ \begin{minipage}{0.35\linewidth}
+ \centering
+ \includegraphics[width=\linewidth]{cornell-tpm4}\\
+ $t$ = 4.2 nsec
+ \end{minipage}\\[4mm]
+ \includegraphics[width=0.35\linewidth]{cornell-steady}\\
+ Steady-state\\
+ \parbox{\linewidth}{%
+ \caption{%
+ \label{fig:cornellTrans}
+ Four renderings of the cornell box using transient photon
+ mapping at different points in time, illustrating the
+ propagation of light from the ceiling light source.
+ Note the colour bleeding effects from reflections on the
+ blue and red walls after ca. 3 nsec. (Note also the
+ physically implausible specular reflection on the glass
+ sphere). In the steady state (below, rendered
+ with standard global and caustic photons), this colour
+ bleeding effect is mostly neutralised by subsequent
+ interreflections from the white surfaces.
+ A video of this sequence is available online.%
+ \footnoteref{note:cornellTransVid}
+ }
+ }
+ \end{minipage}
+ }
+ \end{figure}
+
+ For a (remotely) physically based simulation, the user has to specify the
+ photon velocity -- i.e. the speed of light $c$ = 299 792 458 m/s in a
+ vacuum -- in units of the scene geometry with \cmd{mkpmap}'s \opt{-apt}
+ option. Since this is up to the user, and \cmd{mkpmap} makes no assumptions
+ about, nor imposes any checks on, this parameter, there's nothing
+ preventing a physically implausible photon velocity, e.g. $>c$ or
+ in the sonic or even glacial range.
+
+ The transient photon mapping implemenation is currently experimental and
+ simplistic, and makes a few simplifying assumptions. These include:
+ \begin{itemize}
+ \item Relativistic effects (Lorentz contraction, doppler effect) are
+ not considered; we apologise to Stephen Hawking for the
+ inconvenience.
+ \item The velocity is constant and does not consider the index of
+ refraction of the medium (notably dielectrics) in which the photons
+ propagate.
+ \item Specular reflections are still steady state, as they are
+ calculated using \radClassic's routines. This is obvious in
+ figure \ref{fig:cornellTrans}, for example.
+ \end{itemize}
+
+ On top of the usual photon attributes such as position and flux,
+ a transient photon also includes the time the photon was deposited,
+ i.e. its \emph{time of flight}.
+ This is internally represented as the photon's cumulative path length
+ (subject to the specified photon velocity) instead of absolute time, as
+ it transforms the temporal domain into a spatial one which is consistent
+ with that used by the existing photon lookup routines; the neighbouring
+ photons are found based on similar positions
+ \emph{and similar path lengths}. This approach limits skewing the lookup
+ volume in either the spatial or temporal dimensions. Nevertheless,
+ transient photon lookups are subject to the same bias effects as
+ those for steady state photons, and this incurs and \emph{additional
+ temporal bias} on top of the already discussed spatial bias. This is why
+ the wavefronts on the wall in in figure \ref{fig:cornellTrans} appear
+ blurred when they should actually be infinitely narrow. Specialised
+ transient renderers can indeed achieve this, but this is beyond the scope
+ and capabilities of \radiance.
+
+ Transient photon (il)luminance can be rendered with \cmd{rpict} by
+ specifying a photon bandwidth as for steady-state photon maps, and an
+ additional timestamp $t$ for the lookup.
+ Photons will then be located in the
+ neighbourhood of pixel coordinates \emph{and} the time $t$. Note that the
+ simulation spans a definite time interval which can be queried with
+ \cmd{getinfo} (see section \ref{sec:getinfo}). The timespan starts at
+ $t$ = 0, which corresponds to the time of photon emission from either
+ light sources or photon ports; in the temporal context, all photons are
+ emitted simultaneously, consequently the placement of photon ports
+ \emph{does} matter here.
+ The timespan ends when photon distribution has run to completion, i.e. the
+ last photon has been absorbed. While it is an error specify a negative
+ time, a time $t$ beyond the simulation timespan is accepted but will
+ return zero (il)luminance.
+
+ Typically transient photons will be rendered as a sequence of frames
+ at different times which can be aggregated into a video. A Python script
+ for this purpose, \cmd{transpmap.py}, is available\footnote{Available
+ by request from the author under
+ \href{mailto:roland.schregle@gmail.com}{roland.schregle@gmail.com},
+ at least until it is part of the official \radiance{} distro.
+ }
+ to facilitate the generation of videos for given timespans and time
+ increments. Examples of such videos are available online.%
+ \footnote{Cornell transient sequence available online at:\\
+ \url{%
+ https://www.researchgate.net/project/3D-Light-Flow/update/61070aff181c2e4f4a7d0f28
+ }
+ \label{note:cornellTransVid}
+ }%
+ \textsuperscript{,}%
+ \footnote{Villa M\"uller transient sequences are available online at:\\
+ \url{%
+ https://www.researchgate.net/project/3D-Light-Flow/update/61070620647f3906fc8d475c
+ }
+ and\\
+ \url{%
+ https://www.researchgate.net/project/3D-Light-Flow/update/61070d452897145fbd65a96e
+ }
+ \label{note:vmuellerTransVid}
+ }
+ Using a sufficiently small time increment per video frame can give the
+ illusion of extreme slow motion, effectively dilating time, which of
+ course makes Stephen Hawking very happy! (Plus it's mindbuggering to
+ look at...)
+
+
+
+ \subsection{Examples}
+
+ The following example generates 100 million transient photons (note $c$
+ is scaled to mm/sec since these are the units of \lit{bonzo.oct}),
+ and renders the luminance at $t$=5 nanoseconds using a spatiotemporal
+ bandwidth of 100 photons:
+ \begin{center}
+ \begin{minipage}{0.95\linewidth}
+ \begin{lstlisting}
+mkpmap -apt bonzo.tpm 100m 2.99792458e11 $\ldots$ bonzo.oct
+
+rpict -ap bonzo.tpm 100 5e-9 $\ldots$ bonzo.oct
+ \end{lstlisting}
+ \end{minipage}
+ \end{center}
+
+ The following example uses the \cmd{transpmap.py} script to generate
+ a sequence of transient renderings of the Villa M\"uller over a timespan
+ of 100 nanoseconds, and aggregate them into a video
+ (see also figure \ref{fig:vmuellerTrans}). While \cmd{transpmap.py} can
+ generate the photon map and renderings in a single invocation, this
+ particular example generates the photon map separately, then renders
+ the sequence in a subsequent call using the same scene \emph{without
+ sky and solar sources} for a more dramatic and artsy effect, and 'cos
+ we just like it that way:
+ \begin{center}
+ \begin{minipage}{0.95\linewidth}
+ \begin{lstlisting}
+transpmap.py -c 2.99792458e11 -p 200m -n 8 -T 0 vmueller.oct -apo Window -apo port
+
+transpmap.py -r -E +1 -b 150 -m 50 -x 1000 -y 1000 -n 8 -T 1e-7 -d 2.5e-10 -f 25 xsection-l.vf vmueller-nosrc.oct
+ \end{lstlisting}
+ \end{minipage}
+ \end{center}
+ Parameters here include:
+ \begin{itemize}
+ \item Transient photon velocity $c$ in mm/sec
+ \item 200 million transient photons
+ \item Additional parameters to \cmd{mkpmap} to define photon ports
+ for fenestrations and skylights.
+ \item Parallel execution on 8 cores
+ \item Reuse of existing photon map with option \opt{-r}
+ \item Frame exposure of +1 stops to linearly tonemap each frame with
+ \cmd{pcond}
+ \item Spatiotemporal lookup bandwith of 150 photons
+ \item Maximum lookup radius of 50 mm (reduces banding artefacts at the
+ expense of longer rendering times)
+ \item Maximum frame resolution of 1000$\times$1000 (adjusted to the
+ aspect ratio)
+ \item Time increment of 250 picoseconds per rendered frame
+ \item Video frame rate of 25 fps
+ \item View file \lit{xsection-l.vf} which defines a fore clipping plane
+ to obtain a cross-sectional view of the building
+ \end{itemize}
+ See \cmd{transpmap.py -h} for detailed help on these parameters.
+
+ \begin{figure}[p]
+ \fbox{%
+ \begin{minipage}{\linewidth}
+ \centering
+ %\begin{minipage}{0.45\linewidth}
+ % \centering
+ % \includegraphics[width=\linewidth]{vmueller-r-7.000e-09}\\
+ % $t$ = 7 nsec
+ %\end{minipage}
+ %\hfill
+ \begin{minipage}{0.49\linewidth}
+ \centering
+ \includegraphics[width=\linewidth]{vmueller-r-1.200e-08}\\
+ $t = 12$ nsec
+ \end{minipage}
+ \hfill
+ \begin{minipage}{0.49\linewidth}
+ \centering
+ \includegraphics[width=\linewidth]{vmueller-r-2.200e-08}\\
+ $t = 22$ nsec
+ \end{minipage}\\[4mm]
+ \begin{minipage}{0.49\linewidth}
+ \centering
+ \includegraphics[width=\linewidth]{vmueller-r-2.625e-08}\\
+ $t = 26$ nsec
+ \end{minipage}
+ \hfill
+ \begin{minipage}{0.49\linewidth}
+ \centering
+ \includegraphics[width=\linewidth]{vmueller-r-3.500e-08}\\
+ $t = 35$ nsec
+ \end{minipage}\\[4mm]
+ \begin{minipage}{0.49\linewidth}
+ \centering
+ \includegraphics[width=\linewidth]{vmueller-r-4.050e-08}\\
+ $t = 40$ nsec
+ \end{minipage}
+ \hfill
+ %\begin{minipage}{0.45\linewidth}
+ % \centering
+ % \includegraphics[width=\linewidth]{vmueller-r-4.600e-08}\\
+ % $t$ = 46 nsec
+ %\end{minipage}\\[2mm]
+ \begin{minipage}{0.49\linewidth}
+ \centering
+ \includegraphics[width=\linewidth]{vmueller-r-5.200e-08}\\
+ $t = 52$ nsec
+ \end{minipage}\\
+ \parbox{\linewidth}{%
+ \caption{%
+ \label{fig:vmuellerTrans}
+ A sequence of transient renderings of the Villa M\"uller
+ presented in a cross-sectional view. This scene exhibits
+ complex light propagation due to the combination of
+ skylights, two stairwells, deep halls and large windows.
+ Among the effects observed are: interreflection in the
+ central stairwell ($t=26$ nsec), colour bleeding from the red
+ marble floor ($t=35$ nsec), temporally isolated caustics
+ ($t=40$ nsec), light from the right panorama window
+ reaching the left stairwell ($t=52$ nsec, corresponding
+ to a propagation distance of ca. 16m).
+ Videos of this sequence are available online.%
+ \footnoteref{note:vmuellerTransVid}
+ }
+ }
+ \end{minipage}
+ }
+ \end{figure}
+
+
+
+ \clearpage
+ \section{Utilities}
+ \subsection{Querying the Photon Map with \cmd{getinfo}}
+ \label{sec:getinfo}
+
+ The \cmd{getinfo} tool supplied with \radiance{} can extract
+ the build parameters and statistics about a photon map from the
+ header of the corresponding file. As with other file types, \cmd{getinfo}
+ can query multiple photon maps in one command line.
+ The output may include the following fields (photon type-specific output
+ is enclosed in parentheses):
+ \begin{center}
+ \begin{minipage}{0.95\linewidth}
+ \begin{lstlisting}
+#?RADIANCE
+$cmdline$
+NumPhotons = $N_p$
+AvgFlux = [$\phi_r$, $\phi_g$, $\phi_b$]
+Bbox = [$min_x, min_y, min_z$] [$max_x, max_y, max_z$]
+CoG = [$CoG_x, CoG_y, CoG_z$]
+MaxDist^2 = $r_{max}^2$
+[
+ Velocity = $c$ / sec
+ Timespan = [$t_{min}, t_{max}$] sec
+ AvgPathLen = $\bar{s}$
+]
+[
+ Photon Map contains precomputed [linear|logarithmic]
+ [contributions|coefficients]
+ Num bins = $scDim \times scDim = nbins$
+ Num coeffs = $m_d/m_{d,0}$ compressed detail, $m_s$ approx, $m_t$ total
+ Compression = $comp$ %
+ mRGBE config= $mant_r$:$mant_g$:$mant_b$:$exp$:$idx$
+]
+FORMAT =$fmt$
+VERSION =$ver$
+ \end{lstlisting}
+ \end{minipage}
+ \end{center}
+ where:
+ \begin{itemize}
+ \item \var{cmdline} is the \cmd{mkpmap} command line used to build
+ the photon map, including all arguments,
+ \item \var{N_p} is the total number of photons in the photon map,
+ \item \var{[\phi_r, \phi_g, \phi_b]} is the RGB photon flux averaged
+ over all \var{N_p} photons.
+ \item \var{[min_x, min_y, min_z]} and \var{[max_x, max_y, max_z]}
+ are the minimum resp. maximum photon positions.
+ \item \var{[CoG_x, CoG_y, CoG_z]} is the ``centre of gravity''
+ of the photon distribution, i.e. the average over all photon
+ positions.
+ \item \var{r_{max}^2} is the square of the average distance of the
+ photons to the CoG. This is used as an estimate for initial photon
+ lookup radius.
+ \item \var{c} is the photon velocity (i.e. simulated speed of light)
+ in (scene units) / sec.\footnote{%
+ Applies to transient photon maps only
+ \label{note:getinfoTrans}
+ }
+ \item \var{[t_{min}, t_{max}]} is the time spanning the photon
+ propagation, in seconds, from photon emission to the last
+ absorbtion.\footnoteref{note:getinfoTrans}
+ \item \var{\bar{s}} is the average cumulative distance travelled by a
+ photon, in scene units. This can be useful for setting
+ \cmd{mkpmap}'s \opt{-ld} option if photon paths should be
+ limited.\footnoteref{note:getinfoTrans}
+ \item \textit{Photon Map contains precomputed [linear|logarithmic]
+ [contributions|coefficients]} reflects the status of the
+ \opt{-V} option passed to \cmd{mkpmap}, and whether the
+ binned contributions/coefficients were encoded linearly
+ (as-is) or logarithmically; the latter is a compile-time option
+ and cannot be overridden by the user at runtime.
+ \item \var{scDim = \sqrt{nbins}} is the number of bins per dimension
+ mapped to the Shirley-Chiu square.
+ \item \var{m_d,\ m_{d,0}} is the number of wavelet detail coefficients
+ remaining after compression, and the original number before
+ compression, respectively.
+ \item \var{m_s,\ m_t} is the number of wavelet approximation
+ coefficients (which are never compressed), and the total size of
+ the (partially populated) wavelet coefficient matrix, respectively.
+ \item \var{comp = 100 (1 - n_d / n_{d,0})} is the compression ratio
+ of wavelet detail coefficients, in percent.
+ \item \var{[mant_r, mant_g, mant_b],\ exp,\ idx} is the number of bits
+ used to encode the RGB mantissa, exponent, and incremental index
+ of wavelet coefficients on disk, within a 32-bit envelope. This
+ configuration is a compile-time option and cannot be overridden
+ by the user at runtime.
+ \item \var{fmt} identifies the photon map type, which is one of
+ \begin{itemize}
+ \item \lit{Radiance\_Global\_Photon\_Map},
+ \item \lit{Radiance\_PreComp\_Photon\_Map},
+ \item \lit{Radiance\_Caustic\_Photon\_Map},
+ \item \lit{Radiance\_Volume\_Photon\_Map},
+ \item \lit{Radiance\_Direct\_Photon\_Map},
+ \item \lit{Radiance\_Contrib\_Photon\_Map},
+ \item \lit{Radiance\_Contrib\_Child\_Photon\_Map}\\
+ (per-modifier contribution photon map contained in
+ \lit{Radiance\_Contrib\_Photon\_Map})
+ \item \lit{Radiance\_Transient\_Photon\_Map},
+ \item \lit{Radiance\_LightFlow\_Photon\_Map}, or
+ \item \lit{Radiance\_TransLightFlow\_Photon\_Map}.
+ \end{itemize}
+ \item \var{ver} is a file format version number to check build options
+ and output file compatibility.
+ \end{itemize}
+
+
+
+ \subsection{Visual Examination of Photon Maps with \cmd{pmapdump}}
+ \label{sec:pmapdump}
+
+ \subsubsection{Overview}
+
+ \cmd{Pmapdump} is a minimalist tool to visualise the photon
+ distribution in one or more photon map files. The utility can be used
+ for illustrative purposes to understand the photon map algorithm, but
+ more importantly, it can be used to debug scenes in which the
+ location of photons is unclear. Examples of \cmd{pmapdump} output can
+ be seen in \autoref{fig:cornell_distrib}~(right), \autoref{fig:roi},
+ \autoref{fig:lightFlowKaze}, \autoref{fig:pmapdump-sunpu} and
+ \autoref{fig:sunpu-cc}.
+
+ \cmd{Pmapdump} takes one or more photon map files generated with
+ \cmd{mkpmap} as input and, by default, sends a \radiance{} scene
+ description of their photon distributions to the standard output.
+ Photons are represented as spheres of material type \lit{glow}.
+ These can be visualised with e.g. \cmd{objview}, \cmd{rpict}, or
+ \cmd{rvu} to assess the location and local density of photons in
+ relation to the scene geometry. No additional light sources are
+ necessary, as the spheres representing the photons are self-luminous.
+
+ Alternatively, photons can also be output as an ASCII point list, where
+ each line contains a photon's position and colour.
+ This point list can be imported in a 3D point cloud processor/viewer
+ to interactively explore the photon map.
+
+ An arbitrary number of photon maps can be specified on the command
+ line and the respective photon type is determined automagically. Per
+ default, the different photon types are visualised as colour coded
+ spheres according to the following default schema:
+ \begin{description}
+ \item[\textcolor{blue}{Blue}:] global photon
+ \item[\textcolor{cyan}{Cyan}:] precomputed global photon
+ \item[\textcolor{red}{Red}:] caustic photon
+ \item[\textcolor{green}{Green}:] volume / lightflow photon
+ \item[\textcolor{magenta}{Magenta}:] direct photon
+ \item[\contour{black}{\textcolor{yellow}{Yellow}}:] contribution photon
+ \item[\contour{black}{\textcolor{white}{White}}:] transient photon
+ \end{description}
+ These colours can be overridden for individual photon maps with the
+ \opt{-c} option (see below). Alternatively, photons can be individually
+ coloured according to their actual RGB flux with the \opt{-f} option
+ (see below); while this makes it difficult to discern photon types, it
+ can be used to quantitatively analyse colour bleeding effects, for example.
+
+ \begin{figure}[tb]
+ \centering
+ \fbox{%
+ \begin{minipage}{0.95\linewidth}
+ \includegraphics[width=\linewidth]{sunpu-vpm-clip}
+ \parbox{\linewidth}{%
+ \caption{%
+ \label{fig:pmapdump-sunpu}
+ Cutaway view of volume photons entering a modernist church
+ through skylights, rendered with default \cmd{pmapdump}
+ output (yellow spheres) merged with the original scene
+ geometry. Model courtesy of Prof. Nozomu Yoshizawa, Tokyo
+ University of Science.
+ }
+ }
+ \end{minipage}
+ }
+ \end{figure}
+
+
+ \subsubsection{Options}
+
+ \noindent The synopsis for \cmd{pmapdump} is as follows:
+ \begin{center}
+ \begin{minipage}{\linewidth}
+ \begin{lstlisting}
+pmapdump [-a [-N] [-A]] [-n $num_1$] [-r $radscale_1$] \
+ [-f [-O $norm_1$]] | [-c $rcol_1$, $gcol_1$, $bcol_1$] $pmap_1$ \
+ [-a [-N] [-A]] [-n $num_2$] [-r $radscale_2$] \
+ [-f [-O $norm_2$]] | [-c $rcol_2$, $gcol_2$, $bcol_2$] $pmap_2$ $\ldots$
+ \end{lstlisting}
+ \end{minipage}
+ \end{center}
+ Options are effective for the photon map file immediately following
+ on the command line, and are reset to their defaults after completion
+ of each dump. As such they must be set individually for each photon
+ map. \cmd{Pmapdump} takes the following options:
+ \begin{description}
+ \item{\opt{-a}[\lit{+}$|$\lit{-}]}\\
+ Boolean switch to output photons as a point list in ASCII (text)
+ format instead of a \radiance{} scene. Each output line consists
+ of 6 tab-separated floating point values: the X, Y, Z coordinates
+ of the photon's position, and the R, G, B colour channels of its
+ flux. These values. notably the flux, are expressed in scientific
+ notation if necessary to accommodate their high dynamic range.
+
+ As \cmd{pmapdump} groups its options per photon map, this option
+ must be specified per photon map for consistent output. This
+ prevents erroneously dumping \radiance{} scene descriptions along
+ with point lists, which will fail to load in the 3D point cloud
+ processor/viewer.
+
+ \item{\opt{-A}[\lit{+}$|$\lit{-}]}\\
+ Boolean switch to also output type-specific auxiliary data embedded
+ in each photon in conjunction with option \opt{-a}.
+ For most photon types this is the unique path ID.
+ Path IDs consist of a numeric prefix \lit{N} and suffix \lit{M},
+ and are formatted as \lit{N:M}.
+
+ \item{\opt{-c} \var{rcol} \var{gcol} \var{bcol}}\\
+ Specifies a custom sphere/point colour for the next photon map. The
+ colour is specified as an RGB triplet, with each component in the
+ range (0..1]. Without this option, the default colour for the
+ corresponding photon type is used. This option is mutually
+ exclusive with \opt{-f}.
+
+ \item{\opt{-f}[\lit{+}$|$\lit{-}]}\\
+ Boolean switch to colour each sphere/point according to the
+ corresponding photon's RGB flux instead of a constant colour.
+ The flux is adjusted for the fraction of dumped photons to
+ maintain the total flux contained in the dumped photon map.
+ Note that no exposure is applied, and as such resulting colours
+ can span several orders of magnitude and may require tone mapping
+ with \cmd{pcond} or normalisation with option \opt{-O} (see below)
+ for visualisation. This option is mutually exclusive with \opt{-c}.
+
+ \item{\opt{-n} \var{num}}\\
+ Specifies the number of spheres or points to dump for the next
+ photon map. The dump is performed by random sampling with
+ \var{num} as target count, hence the number actually
+ output will be approximate. \var{Num} may be suffixed by
+ a case-insensitive multiplier for convenience, where \var{k = 10^3}
+ and \var{m = 10^6}, although the latter may lead to problems when
+ processing the output geometry with \cmd{oconv}.
+ The default number is 10k.
+
+ \item{\opt{-N}[\lit{+}$|$\lit{-}]}\\
+ Boolean switch to also output photon normals in conjunction with
+ option \opt{-a}. In case of a volume photon map, this option will
+ output the photon's direction.
+
+ \item{\opt{-O} \var{norm}}\footnote{%
+ Sorry, we ran outta sensible option names here...
+ }\\
+ Normalise photon flux to the given value. This limits the
+ maximum flux in any colour channel to \var{norm}, which is useful
+ for postprocessing and visualising the photon flux within a
+ predetermined range. This option is only valid in conjuction with
+ the \opt{-f} option.
+
+ \item{\opt{-P}[\lit{+}$|$\lit{-}]}\\
+ Boolean option to output photon path IDs in text format.
+ This option is equivalent to \opt{-A} and kept for backwards
+ compatibility only.
+
+ \item{\opt{-r} \var{radscale}}\\
+ Specifies a relative scale factor \var{radscale} for the sphere
+ radius. The sphere radius is determined automatically from an
+ estimated average distance between spheres so as to reduce
+ clustering, assuming a uniform distribution. In cases where
+ the distribution is substantially nonuniform (e.g. highly
+ localised caustics) the radius can be manually corrected with
+ this option. The default value is 1.0. This option is ignored
+ for point list output in conjuction with~\opt{-a}.
+ \end{description}
+
+
+ \subsubsection{Notes}
+
+ Note that the \radiance{} scene output may contain many overlapping
+ spheres in areas with high photon density, particularly in caustics.
+ This results in inefficient and slow octree generation with \cmd{oconv}.
+ Generally this can be improved by reducing \var{num} and/or
+ \var{radscale}.
+
+
+ \subsubsection{Examples}
+
+ The following example visualises the distribution of global
+ and caustic photons superimposed on the scene geometry with 5000 pale red
+ and 10000 pale blue spheres, respectively:
+ \begin{center}
+ \begin{minipage}{0.95\linewidth}
+ \begin{lstlisting}
+pmapdump -n 5k -c 1 0.4 0.4 global.pm \
+ -n 10k -c 0.4 0.4 1 caustic.pm | \
+oconv - scene.rad > scene_pm.oct
+
+rvu scene_pm.oct
+ \end{lstlisting}
+ \end{minipage}
+ \end{center}
+ Note the use of a pipe to directly create \lit{scene\_pmdump.oct}
+ from the \cmd{pmapdump} output.
+
+ In contrast, this example visualises the caustic photon distribution
+ superimposed on the scene geometry with 10000 spheres coloured according
+ to the photons' respective RGB flux:
+ \begin{center}
+ \begin{minipage}{0.95\linewidth}
+ \begin{lstlisting}
+pmapdump -n 10k -f caustic.pm | \
+oconv - scene.rad > scene_pm.oct
+ \end{lstlisting}
+ \end{minipage}
+ \end{center}
+ \radiance{} scene dumps may also be viewed on their own by simply piping
+ the output of \cmd{pmapdump} directly into \cmd{objview} (using the
+ default number of spheres in this example):
+ \begin{center}
+ \begin{minipage}{0.95\linewidth}
+ \begin{lstlisting}
+pmapdump zombo.pm | objview
+ \end{lstlisting}
+ \end{minipage}
+ \end{center}
+ Instead of a \radiance{} scene, the following example dumps photons as
+ a (really long) point list to an ASCII file for import into a 3D point
+ cloud processor/viewer, as shown in \autoref{fig:sunpu-cc}.
+ \begin{center}
+ \begin{minipage}{0.95\linewidth}
+ \begin{lstlisting}
+pmapdump -a -f -n 100k lotsa.pm > lotsa_pointz.xyz
+ \end{lstlisting}
+ \end{minipage}
+ \end{center}
+
+ \begin{figure}[h]
+ \centering
+ \fbox{%
+ \begin{minipage}{0.95\linewidth}
+ \includegraphics[width=\linewidth]{sunpu-vpm}\\
+ \parbox{\linewidth}{%
+ \caption{%
+ \label{fig:sunpu-cc}
+ ASCII point list imported into an interactive point cloud
+ processor/viewer (in this case \cmd{ccViewer}, part of the
+ excellent open-source \lit{CloudCompare} toolsuite
+ \cite{CC2020}).
+ The point list was exported by \cmd{pmapdump} with the
+ \opt{-a} option from the volume map rendered in
+ \autoref{fig:pmapdump-sunpu}.
+ }
+ }
+ \end{minipage}
+ }
+ \end{figure}
+
+
+
+ \clearpage
+ \section{Acknowledgements}
+
+ The following institutions contributed to the development of the \radiance{}
+ photon map extension:
+ \begin{description}
+ \item[Fraunhofer Institute for Solar Energy Systems (ISE)] supported by
+ the German Research Foundation (DFG LU204/10-2:
+ \textit{Fassadenintegrierte Regelsysteme} (FARESYS)),
+ \item[Lucerne University of Applied Sciences and Arts (HSLU)]
+ supported by the Swiss National Science Foundation (SNSF 147053:
+ \textit{Simulation based assessment of daylight redirecting
+ components for energy savings in office buildings
+ },
+ SNSF 179067: \textit{Lightfields for spatio-temporal glare
+ assessment
+ }),
+ \item[Tokyo University of Science] supported by the JSPS Grants-in-Aid
+ for Scientific Research Programme (KAKENHI JP19KK0115: \textit{%
+ A new expression of three‐dimensional light flow in architectural
+ spaces and its visual interpretation in the context of
+ human‐centric lighting design
+ }).
+ \end{description}
+ The Developer(s) would also like to thank the following individuals for
+ their invaluable contributions:
+ \begin{description}
+ \item[Greg Ward] for his support in integrating the code, and his
+ tireless efforts in keeping \radiance{} and its community alive,
+ \item[Dr. Peter Apian-Bennewitz, Dr. Karsten Voss and Dr.
+ Volker Wittwer] for initiating and supervising development of
+ the first release of the \radiance{} photon map extension at
+ Fraunhofer ISE as part of the DFG-funded \textit{FARESYS} project.
+ \item[Prof. Stephen Wittkopf and Dr. Lars Grobe] for continuing
+ development of the photon map (notably out-of-core and
+ contributions) within the scope of the SNSF-funded
+ projects \textit{Daylight Redirecting Components (DRC)} and
+ \textit{Lightfields for Glare Assessment (LFG)}.
+ \item[Prof. Nozomu Yoshizawa] and his team for initiating the
+ KAKEN-funded project \textit{Three-dimensional light flow} at
+ the Tokyo University of Science, for supporting the development
+ of the lightflow photon map, and applying it in their experiments,
+ \item[Rob Gugliemetti] for his huge help in getting this thing compiled
+ under W33nd0z and providing nightly builds for that platform,
+ 'cos The Developer(s)$^{TM}$ doan' do W33ndoz,
+ \item[Carsten Bauer (Capt.~B) and Dr. David Geisler-Moroder]
+ for testing the tool with \realLife\ scenes, reporting bugs and
+ providing valuable feedback.
+ \end{description}
+ Finally, a big thanks to \textit{anyone} out there nuts enough to try the
+ extension out!
+
+
+
+ \clearpage
+ \begin{thebibliography}{99}
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+ Jon Louis Bentley: ``Multidimensional Binary Search Trees
+ Used for Associative Searching''. \textit{CACM} 18(9), 1975.
+
+ \bibitem[CC2020]{CC2020}
+ CloudCompare 3D point cloud and mesh processing software
+ open source project, 2020. Available at
+ \href{http://www.cloudcompare.org}{http://www.cloudcompare.org}.
+
+ \bibitem[Chri2000]{Chri2000}
+ Per Christensen: ``Faster Photon Map Global Illumination''.
+ \textit{Journal of Graphics Tools} 4(3), April~2000.
+
+ \bibitem[Cutt2014]{Cutt2014}
+ Christopher Cuttle: ``Research Note: A practical approach to cubic
+ illuminance measurement''.
+ \textit{Lighting Research \& Technology}, 2014; 46(1): 31--34.
+ DOI: 10.1177/1477153513498251
+
+ \bibitem[Jara2014]{Jara2014}
+ Adrian Jarabo, Julio Marco, Adolfo Mu\~{n}oz, Raul Buisan,
+ Wojciech Jarosz, Diego Gutierrez:
+ ``A framework for transient rendering''.
+ \textit{ACM Transactions on Graphics}
+ (\textit{Proceedings of SIGGRAPH Asia}), 2014; 33(6).
+ DOI: 10/gfznb8. Available at:
+ \href{%
+ https://cs.dartmouth.edu/~wjarosz/publications/jarabo14framework.html
+ }{%
+ https://cs.dartmouth.edu/~wjarosz/publications/jarabo14framework.html
+ }
+
+ \bibitem[Jens1996]{Jens1996}
+ Henrik Wann Jensen: ``Global Illumination using Photon Maps''.
+ \textit{Rendering Techniques '96}, Eds. X.~Pueyo and P.~Schr\"oder,
+ Springer-Verlag, 1996.
+
+ \bibitem[Jens1997]{Jens1997}
+ Henrik Wann Jensen: ``Rendering Caustics on Non-Lambertian
+ Surfaces''. \textit{Computer Graphics Forum}, 16(1), March~1997.
+
+ \bibitem[Jens1998]{Jens1998}
+ Henrik Wann Jensen and Per H.~Christensen: ``Efficient
+ Simulation of Light Transport in Scenes with Participating
+ Media using Photon Maps''. \textit{Proceedings SIGGRAPH~'98},
+ July~1998.
+
+ \bibitem[Jens2000]{Jens2000}
+ Henrik Wann Jensen and Niels J{\o}rgen Christensen: ``A
+ Practical Guide to Global Illumination using Photon Maps''.
+ \textit{SIGGRAPH~2000 Course Notes~8}, July~2000.
+
+ \bibitem[Lath1968]{Lath1968}
+ K.D. Lathrop: ``Ray Effects in Discrete Ordinates Equations''.
+ \textit{Nuclear Science and Engineering}, 1968; 32(3): 357--369.
+ DOI: 10.13182/NSE68-4
+
+ \bibitem[Schr2003]{Schr2003}
+ Roland Schregle: ``Bias Compensation for Photon Maps''.
+ \textit{Computer Graphics Forum} 22(4), December~2003.
+
+ \bibitem[Schr2015]{Schr2015}
+ Roland Schregle, Carsten Bauer, Lars O. Grobe and Stephen Wittkopf:
+ ``EvalDRC: A tool for annual characterisation of daylight
+ redirecting components with photon mapping''.
+ \textit{Proceedings CISBAT 2015}, Lausanne, Switzerland.
+
+ \bibitem[Schr2016]{Schr2016}
+ Roland Schregle, Lars O. Grobe and Stephen Wittkopf:
+ ``An Out-of-Core Photon Mapping Approach to Daylight Coefficients''.
+ \textit{Journal of Building Performance Simulation}, 9(6), 2016.
+
+ \bibitem[Schr2019]{Schr2019}
+ Roland Schregle, Nozomu Yoshizawa, Toshihide Okamoto, Ken Komazawa:
+ ``An Ongoing Visual Assessment of Three-dimensional Light Flow
+ Expressed Through Volume Photon Mapping''.
+ Presented at the \textit{18th International RADIANCE Workshop},
+ New York City, August~2019.\\
+ Available at:
+ \href{%
+ https://www.radiance-online.org/community/workshops/2019-new-york-ny/presentations/day3/23\_Schregle-Yoshizawa.pdf
+ }{%
+ https://www.radiance-online.org/community/workshops/2019-new-york-ny/presentations/day3/23\_Schregle-Yoshizawa.pdf
+ }.
+
+ \bibitem[Schr2021a]{Schr2021a}
+ Roland Schregle, Nozomu Yoshizawa, Ken Komazawa and Kaira Otori:
+ ``A Case Study of Three-Dimensional Light Flow Expressed Through
+ Volume Photon Mapping''. Presented at the \textit{19th International
+ Radiance Workshop}, Bilbao, August~2021.\\
+ Available at:
+ \href{%
+ https://www.radiance-online.org/community/workshops/2021-bilbao-spain-2/presentations/19\_thursday/Radiance2021-3DLightFlowVPMCaseStudy-6.pdf
+ }{%
+ https://www.radiance-online.org/community/workshops/2021-bilbao-spain-2/presentations/19\_thursday/Radiance2021-3DLightFlowVPMCaseStudy-6.pdf
+ }.
+
+ \bibitem[Schr2021b]{Schr2021b}
+ Roland Schregle and Nozomu Yoshizawa:
+ ``Gone in 60 Nanoseconds: Adventures in Transient Rendering''
+ Presented at the \textit{19th International Radiance Workshop},
+ Bilbao, August~2021.\\
+ Available at:
+ \href{%
+ https://www.radiance-online.org/community/workshops/2021-bilbao-spain-2/presentations/20\_friday/Radiance2021-GoneIn60Nanosec-8.pdf
+ }{%
+ https://www.radiance-online.org/community/workshops/2021-bilbao-spain-2/presentations/20\_friday/Radiance2021-GoneIn60Nanosec-8.pdf
+ }.
+
+ \bibitem[Shir1997]{Shir1997}
+ Peter Shirley and Kenneth Chiu: ``A Low Distortion Map Between Disk
+ and Square''. \textit{Journal of Graphics Tools}, 2(3), 1997.
+
+ \bibitem[Ward1994]{Ward1994}
+ Gregory J.~Ward: ``The \radiance{} Lighting Simulation and
+ Rendering System''. \textit{Proceedings SIGGRAPH~'94}, July~1994.
+
+ \bibitem[Ward1998]{Ward1998}
+ Greg Ward Larson and Rob Shakespeare: \textit{Rendering with
+ \radiance}. Morgan Kaufmann, San Francisco, 1998.
+
+ \bibitem[Yosh2022]{Yosh2022}
+ Nozomu Yoshizawa, Roland Schregle, Ken Komazawa and
+ Kaira Otori: ``Photon Flow: A three-dimensional expression of
+ light flow using Volume Photon Mapping''.
+ TO APPEAR in \textit{Lighting Research \& Technology}.
+
+ \end{thebibliography}
+ % Manually add bibliography to table of contents
+ % (Why isn't this the default behaviour?!)
+ \addcontentsline{toc}{section}{References}
+
+
+
+ \clearpage
+ \appendix
+ \section*{Appendix}
+ \section{Sample Renderings}
+
+ \subsection{Caustics}
+
+ \begin{figure}[h!]
+ %\centering
+ \fbox{%
+ \begin{minipage}{0.98\linewidth}
+ \includegraphics[width=0.49\linewidth]
+ {prismella-xsection-hi-close3}%
+ \hfill
+ \includegraphics[width=0.49\linewidth]
+ {prismella-xsection-lo-close3}\\%
+ \parbox{\linewidth}{%
+ \caption{%
+ \label{fig:prismella}
+ Retroreflecting blinds patented by Helmut K\"oster, rendered
+ with \radiance{} photon map using 600k global and 6M caustic
+ photons with a bandwidth of 100 and 100--2000 (bias
+ compensated), respectively. At 40\degree{} incidence (left),
+ sunlight is retroreflected as evidenced by the caustics on
+ the wall, while skylight is scattered into the interior off
+ the diffuse lamellae undersides. At 20\degree{} incidence
+ (right), the inclination requires adjustment as sunlight is
+ now redirected towards the lamellae undersides rather than
+ being retroreflected.
+ }
+ }
+ \end{minipage}
+ }
+ \end{figure}
+
+ \begin{figure}[h!]
+ \centering
+ \fbox{%
+ \begin{minipage}{0.98\linewidth}
+ \includegraphics[angle=-90, width=\linewidth]
+ {litepipe-xsection-pmap}
+ \parbox{\linewidth}{%
+ \caption{%
+ \label{fig:litepipe-xsection}
+ Cross-sectional view of a lightpipe rendered with 500k global
+ and 1M caustic photons. The photons are emitted via ports
+ defined for the window, pipe aperture, and external heliostat
+ (not visible).
+ }
+ }
+ \end{minipage}
+ }
+ \end{figure}
+
+ \begin{figure}[t!]
+ \centering
+ \fbox{%
+ \begin{minipage}{0.98\linewidth}
+ \centering
+ \includegraphics[width=0.5\linewidth]{cornell-flood-50}\\[1mm]%
+ \includegraphics[width=0.5\linewidth]{cornell-flood-500}\\[1mm]%
+ \includegraphics[width=0.5\linewidth]{cornell-flood-50-500}\\%
+ \parbox{\linewidth}{%
+ \caption{%
+ \label{fig:cornell-flood}
+ Flooded Cornell box rendered with caustic photon map using
+ fixed bandwidths of 50 (top) and 500 (centre) photons, and
+ a dynamic bandwidth of \mbox{50--500} photons with bias
+ compensation (bottom).
+ }
+ }
+ \end{minipage}
+ }
+ \end{figure}
+
+
+
+
+ \clearpage
+ \subsection{Volume Caustics}
+
+ \begin{figure}[!htb]
+ \centering
+ \fbox{%
+ \begin{minipage}{\linewidth}
+ \centering
+ \includegraphics[width=0.49\linewidth]{cpc-xsection1}%
+ \hfill
+ \includegraphics[width=0.49\linewidth]{cpc-xsection2}\\%
+ \parbox{\linewidth}{%
+ \caption{%
+ \label{fig:cpc-xsection}
+ Compound parabolic concentrator with opaque apertures
+ rendered with volume photon map in a \lit{mist} environment.
+ At normal incidence (left), the incident beam is
+ retroreflected, whereas at 50\degree{} incidence (right) it
+ is transmitted and redirected in a characteristic fan-out.
+ }
+ }
+ \end{minipage}
+ }
+ \end{figure}
+
+ \begin{figure}[!htb]
+ \centering
+ \fbox{%
+ \begin{minipage}{\linewidth}
+ \centering
+ \includegraphics[width=0.55\linewidth]{cornell-volume}\\%
+ \parbox{\linewidth}{%
+ \caption{%
+ \label{fig:cornell-volume}
+ Funky volume caustics in a \lit{mist} environment from
+ refracted volume photons as they pass through a
+ \lit{dielectric} sphere. Note the blue cast imposed on the
+ refracted photons.
+ }
+ }
+ \end{minipage}
+ }
+ \end{figure}
+
+
+
+ \clearpage
+ \section{Parameter Ranges}
+
+ The following table lists typical ranges for various parameters used with
+ \cmd{mkpmap} and \cmd{rpict}. It is primarily aimed at novices, who are no
+ doubt bewildered by the plethora of options. The ranges are recommendations
+ based on the developer's experience, and should not be interpreted as fixed
+ constraints. In some situations it is not unlikely to use settings far
+ beyond the typical range.
+ %\todo{Revise table, some of these are too conservative!}
+
+ \begin{table}[!h]
+ \centering
+ \begin{tabular}{|l|p{0.6\linewidth}|}
+ \hline
+ \cmd{mkpmap} parameter & Typical range \\
+ \hline
+ \hline
+ \var{nphotons} & 100k--100M
+ (100k--1G with out-of-core option)\\
+ \opt{-apD} & 0.1--1.0 \\
+ \opt{-apm} & 1000--5000 \\
+ \opt{-apP} & 0.25--0.5 \\
+ \opt{-dp} & 1000--100000 \\
+ \opt{-ds} & 0.0001--0.01 \\
+ \hline
+ \hline
+ \cmd{rpict} parameter & Typical range \\
+ \hline
+ \hline
+ \var{bwidth_1} & 50--100 (50--1000 with out-of-core option)\\
+ \var{bwidth_2} & 200--500 (200--5000 with out-of-core option)\\
+ \opt{-ab} & \mbox{1 (default via ambient bounce)},
+ \mbox{-1 (quick\&dirty direct visualisation)}\\
+ \opt{-ac} & 4.0--16.0 \\
+ \opt{-am} & 100-1000 \\
+ \hline
+ \end{tabular}
+ \end{table}
+
+
+
+ \clearpage
+ \section{Bugz and Weirdness}
+ \label{sec:bugz}
+
+ \begin{itemize}
+ \item The spotlight focal point is ignored by the photon map; it
+ coincides with the light source surface. This corresponds to
+ specifying a direction vector of infinitesimal length in
+ \radClassic.
+ \item \cmd{mkpmap}'s distribution algorithm can exceed the specified
+ number of photons with scenes having high reflectance or when
+ excessively high settings of \opt{-apD} are used.
+ \item Caustic photon irradiance will be biased when passing
+ \cmd{rtrace} points which do not lie on a surface, unless a
+ virtual receiver surface is defined with \lit{antimatter} and
+ specified with \cmd{mkpmap}'s \opt{-aps} or \opt{-apS}
+ option, as detailed in section \ref{sec:mkpmap}. This also
+ applies when directly visualising global photons with
+ \opt{-ab 1}. Technically this is not a bug, but a fundamental
+ constraint of the photon mapping algorithm itself.
+ \item Arbitrary polygonal light sources and photon ports are not
+ well supported. This is a limitation of RADIANCE's light source
+ sampling code, and \cmd{mkpmap} resorts to a crude rejection
+ sampling technique to improve on this. Because this hack (for
+ want of a better word) discards emitted photons to compensate
+ for bias, it currently has a nasty side effect of generating
+ fewer photons than specified. Triangular and quadrilateral
+ sources are well supported, however, and it is generally
+ recommended to triangulate polygonal geometry prior to importing
+ it into RADIANCE.
+ \end{itemize}
+
+
+
+ \clearpage
+ \section{\cmd{mkpmap} Troubleshooting}
+
+ \begin{table}[!h]
+ \centering
+ \begin{tabular}{|p{.3\linewidth}|p{.3\linewidth}|p{.3\linewidth}|}
+ \hline
+ {\bf Problem} & {\bf Cause} & {\bf Solution} \\
+ \hline
+ \hline
+ \cmd{mkpmap} stores too many photons &
+ Too many emitted photons in distribution prepass &
+ Reduce \opt{-apD} \\
+ \hline
+ Number of photons stored differs substantially from specification &
+ Too few photons emitted in distribution prepass; prediction for main
+ pass inaccurate &
+ Increase \opt{-apD} \\
+ \hline
+ \cmd{mkpmap} complains about runaway photons &
+ Photons stuck in infinite scattering loop, possibly pathological
+ geometry or materials &
+ Check geometry and materials; increase \opt{-apm} \\
+ \hline
+ \cmd{mkpmap} is slow with \lit{source} primitive &
+ \lit{source} emits from scene cube faces &
+ Define photon ports \\
+ \hline
+ \cmd{mkpmap} bogs down in light source flux integration &
+ Excessively high probability density function resolution; too many
+ source partitions &
+ Decrease \opt{-dp}; increase \opt{-ds} \\
+ \hline
+ \cmd{mkpmap} bails out after too many distribution prepasses &
+ photon ports oriented outward; using caustic photons with
+ non-specular geometry; using volume photons without \lit{mist};
+ pathological geometry or nonabsorbing materials;
+ light sources see no geometry; wrong lunar phase; bad horoscope,
+ etc. &
+ Check port normal(s) or reverse their orientation(s) with
+ \opt{-apo-}; check scene and specify compatible photon types \\
+ \hline
+ Excessive noise in photon irradiance &
+ Bandwidth too low &
+ Increase bandwidth \\
+ \hline
+ Excessive blurring in photon irradiance &
+ Bandwidth too high &
+ Decrease bandwidth or increase size of photon map \\
+ \hline
+ Excessive noise and blurring in different regions &
+ Bandwidth is fixed &
+ Apply bias compensation for dynamic bandwidth \\
+ \hline
+ \end{tabular}
+ \end{table}
+
+
+
+ \clearpage
+ \section{\cmd{rpict/rtrace} Troubleshooting}
+
+ \begin{table}[!h]
+ \centering
+ \begin{tabular}{|p{.3\linewidth}|p{.3\linewidth}|p{.3\linewidth}|}
+ \hline
+ {\bf Problem} & {\bf Cause} & {\bf Solution} \\
+ \hline
+ \hline
+ Severe irradiance falloff at polygon edges &
+ Boundary bias due to high bandwidth &
+ Reduce bandwidth or apply bias compensation \\
+ \hline
+ Splotchy ambient illumination from global photons &
+ Excessively noisy density estimates; too few ambient samples;
+ irradiance caching too inaccurate &
+ Check density estimate with \opt{-ab} -1, and increase
+ bandwidth if necessary; increase \opt{-ad} if illumination has
+ high variance or contains caustics; increase \opt{-ar} and/or
+ decrease \opt{-aa} \\
+ \hline
+ Direct photon irradiance from modified light source deviates
+ significantly &
+ Probability density function cannot adequately resolve emission
+ distribution; too few source partitions &
+ Increase \opt{-dp}; if distribution varies over surface, decrease
+ \opt{-ds} \\
+ \hline
+ Caustics are underestimated for measurement points passed to
+ \cmd{rtrace} which do not lie on scene geometry &
+ No photons in measurement plane; photons are retrieved from
+ distant co-planar objects, resulting in oversized radius &
+ Define virtual receiver surface with \lit{antimatter} material, and
+ specify its modifier with \cmd{mkpmap}'s \opt{-aps} or \opt{-apS}
+ option when building the photon map \\
+ \hline
+ \cmd{rpict/rtrace} complains about short photon lookups &
+ Maximum photon search radius too small &
+ Increase \opt{-am} \\
+ \hline
+ \cmd{mkpmap} generates fewer photons when using polygonal
+ sources/ports &
+ This is a side effect of rejection sampling used to emit
+ photons from arbitrary polygonal geometry.
+ See appendix \ref{sec:bugz} for details. &
+ Increase target photon count or triangulate your polygons \\
+ \hline
+ Everything is slow &
+ User expects too much &
+ Twiddle thumbs \\
+ \hline
+ \end{tabular}
+ \end{table}
+
+\end{document}
+
diff --git a/pdf/pmap-manual.tex,v b/pdf/pmap-manual.tex,v
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+head 1.51;
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+ u-no-hoo:1.51; strict;
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+
+desc
+@RADIANCE photon map manual
+@
+
+
+1.51
+log
+@Added smiley; very important! ;^)
+@
+text
+@\documentclass[a4paper,11pt]{article}
+\usepackage{color,graphicx,pslatex,rcs,gensymb,footmisc,listings,todonotes,
+ amsmath,geometry
+}
+\usepackage[colorlinks,urlcolor=red,bookmarks=false,breaklinks=false]
+ {hyperref}
+\usepackage[pdftex,outline]{contour}
+\usepackage[T1]{fontenc}
+
+\graphicspath{{figs/}}
+\renewcommand{\familydefault}{\sfdefault}
+\newcommand{\radiance}{\textsc{radiance}}
+\newcommand{\radClassic}{\textsc{radiance classic$^\textsf{\tiny TM}$}}
+\newcommand{\opt}[1]{\textbf{#1}}
+\newcommand{\var}[1]{$\mathit{#1}$}
+\newcommand{\lit}[1]{\textit{#1}\/}
+\newcommand{\cmd}[1]{\textit{\textbf{#1}}\/}
+\newcommand{\realLife}{\textsc{RealLife$^\textsf{\tiny TM}$}}
+\newcommand{\footnoteref}[1]{\textsuperscript{\ref{#1}}}
+
+
+
+\definecolor{lstbg}{gray}{0.9}
+\definecolor{lstfg}{rgb}{0,0,0.5}
+\lstset{frame=single, backgroundcolor=\color{lstbg}, mathescape=true,
+ xleftmargin=5pt, xrightmargin=5pt, %aboveskip=20pt, belowskip=20pt,
+ numbers=none, captionpos=b, basicstyle=\normalsize\color{lstfg},
+ breaklines, breakatwhitespace, showstringspaces=false,
+ escapeinside={<@@}{@@>}}
+
+%\contourlength{0.1pt}
+%\contournumber{1}
+
+\RCS $Revision: 1.50 $
+\RCS $Date: 2022/05/10 23:20:27 $
+
+\title{The \radiance{} Photon Map Extension\\User Manual}
+\author{
+ Roland Schregle (roland.schregle@@\{hslu.ch, gmail.com\})\\
+ CC Building Envelopes\\
+ Lucerne University of Applied Sciences and Arts
+}
+\date{
+ Revision \RCSRevision\\
+ \RCSDate
+}
+
+
+\begin{document}
+ \maketitle
+ \tableofcontents
+ \pagebreak
+
+ \section{What's New?}
+
+ Development of the \radiance{} photon map has continued within two projects
+ hosted by the Tokyo University of Science and at Hochschule Luzern.
+ In a nutshell, the following features have been added:
+ \begin{itemize}
+ \item ``Lightflow'' photon mapping; an extension to volume photon
+ mapping to evaluate cubic illuminance at arbitrary locations in
+ space, and visualising the lighting distribution (via \cmd{pmapdump},
+ see below) in the entire scene, as opposed to just on surfaces.
+ \item Precomputed contribution photons; these replace the previous
+ contribution photon map, with the benefit that contributions are
+ now pre-binned and compressed; the binned contributions are then
+ obtained by \cmd{rcontrib} from the single closest photon, similar
+ to the existing precomputed global photons.
+ \item Photon port orientation options; ports may now be reversed to
+ emit from their backfaces, or even from both sides. The default
+ behaviour of (forward) emission towards the interior as defined by
+ the port's normal (per \cmd{mkillum} convention) is retained.
+ \item \cmd{pmapdump} text dump option; photon positions and their flux
+ may now be dumped as plain text for input into interactive point
+ cloud processors and viewers.
+ \item Polyhedral regions of interest (ROIs) specified by material
+ modifiers are considerably more flexible and general than
+ rectangular or spherical ROIs, particularly if the ROI is bounded
+ by complex geometry.
+ \end{itemize}
+
+
+ \clearpage
+ \section{Introduction and Motivation}
+
+ The \radiance{} rendering system \cite{Ward1994} is a very versatile and
+ powerful tool for lighting simulation, and one of the few
+ physically based renderers with available source code. However,
+ developments in light redirecting materials have presented new
+ challenges in their simulation; their specular nature makes them
+ difficult to simulate with \radiance, often resulting in an undersampled
+ specular component and therefore excessive noise. Extreme sampling
+ parameters yield a marginal improvement at the expense of high
+ computational load.
+
+ Particularly the phenomenon of caustics is undersampled with
+ \radiance. Caustics are bright, iridescent highlights on diffuse
+ surfaces caused by specular reflection or refraction. Figure
+ \ref{fig:caustic} shows an example of a caustic from a retroreflecting
+ lamella, which is a typical redirecting component encountered in daylight
+ simulation. Quoting chapter 13 of ``Rendering with \radiance'',
+ \cite{Ward1998},
+ \begin{quote}
+ ``Other cases involving curved, specular reflectors pose similar
+ difficulties for \cmd{mkillum}, and the only long-term solution seems to
+ be the creation of a forward raytracing module for computing these kinds
+ of illums.''
+ \end{quote}
+ The problem is actually more fundamental due to \radiance's backward
+ raytracing methodology, and not restricted to \cmd{mkillum} alone.
+
+ \begin{figure}[htb]
+ \centering
+ \fbox{%
+ \begin{minipage}{0.7\linewidth}
+ \includegraphics[width=\linewidth]{IMG_5048b}
+ \parbox{\linewidth}{%
+ \caption{%
+ \label{fig:caustic}
+ Photograph of caustic from retroreflecting lamella
+ (patented by Helmut K\"oster).
+ }
+ }
+ \end{minipage}
+ }
+ \end{figure}
+
+ \radiance's difficulties with highly directional materials
+ motivated the development of the forward raytracing module mentioned
+ above as a supplementary algorithm. The photon map \cite{Jens1996,
+ Jens1997, Jens2000} was chosen for a number of reasons:
+ \begin{itemize}
+ \item Apart from handling indirect diffuse illumination, it handles
+ caustics efficiently and has become the algorithm of choice for
+ this purpose.
+ \item It is straightforward to integrate into existing ray tracing
+ environments.
+ \item It is decoupled from the scene geometry and thus can handle
+ arbitrarily complex objects. This also enables using the photon
+ map to simulate indirect illumination in volumes such as
+ participating media \cite{Jens1998, Schr2019}.
+ \item It represents a view independent solution to the indirect
+ illumination and can thus be reused for multiperspective
+ renderings with unchanged geometry.
+ \end{itemize}
+
+ The photon map is based on a (light) particle transport simulation,
+ which lends its name. Each photon interacts with the objects it
+ strikes and is either reflected, transmitted, or absorbed, depending
+ on the characteristics of the material. A Monte Carlo sampling method
+ is used to generate the reflected or transmitted directions of a
+ photon if it survives. Eventually a particle is terminated either by
+ absorption or leakage (if it leaves the scene), and a new photon is
+ emitted.
+
+
+ \clearpage
+ \section{Implementation Overview}
+
+ The photon map algorithm comprises two steps:
+ \begin{description}
+ \item[Photon distribution (forward pass):] as a preprocess, photons
+ are emitted from all
+ light sources and probabilistically reradiated or absorbed upon
+ striking a surface or passing through a volume, depending on its
+ properties. The result is a view independent representation of the
+ indirect illumination (figure \ref{fig:cornell_distrib}).
+ \item[Photon gathering (backward pass):] during the actual rendering,
+ the indirect illumination for a point on a surface or within a
+ volume is determined by finding a number of nearest photons to
+ the point. The irradiance is then proportional to the photon
+ density (figure \ref{fig:nnsearch}), hence the process is known
+ as \emph{ density estimation\/} in the statistics literature.
+ The number of photons gathered defines the area covered by the
+ density estimate, and will be referred to as its
+ \lit{bandwidth} for the rest of this document.
+ \end{description}
+ Note that the combination of a forward and backward pass comprises a
+ bidirectional raytracer, thus all possible light transport paths are
+ accounted for.
+
+ \begin{figure}[htb]
+ \centering
+ \fbox{%
+ \begin{minipage}{0.95\linewidth}
+ \includegraphics[width=0.49\linewidth]{cornell-distrib1}
+ \hfill
+ \includegraphics[width=0.49\linewidth]{cornell-distrib2}\\
+ \parbox{\linewidth}{%
+ \caption{%
+ \label{fig:cornell_distrib}
+ Global photon distribution in the Cornell box. Left:
+ global and caustic photon paths during forward pass.
+ Dots indicate stored photons, where blue represents
+ global photons, and red represents caustic photons.
+ Right: photon distribution after completion of forward
+ pass (visualised with \cmd{pmapdump}).
+ Note the concentration of caustic photons on the
+ back wall reflected from the glass sphere.
+ }
+ }
+ \end{minipage}
+ }
+ \end{figure}
+
+ \begin{figure}[t]
+ \centering
+ \fbox{%
+ \begin{minipage}{0.75\linewidth}
+ \resizebox{\linewidth}{!}{\input{figs/nnsearch}}
+ \parbox{\linewidth}{%
+ \caption{%
+ \label{fig:nnsearch}
+ Gathering photons via nearest neighbour search. The
+ number of gathered photons defines the
+ \lit{bandwidth}, or intercepted area, of the density
+ estimate use to evaluate the irradiance.
+ }
+ }
+ \end{minipage}
+ }
+ \end{figure}
+
+ The distribution step is performed by the \cmd{mkpmap} utility. It is
+ responsible for building the photon map and saving it to a file for
+ subsequent reuse by \cmd{rpict}\footnote{Unless noted otherwise,
+ \cmd{rpict} also implies its siblings \cmd{rtrace} and \cmd{rvu},
+ which also support photon mapping.} for the actual rendering and
+ photon gathering. The general photon mapping workflow can therefore
+ be summarised as:
+
+ \begin{center}
+ \begin{minipage}{0.95\linewidth}
+ \begin{lstlisting}
+/* Prepare model$\ldots$ */
+/* Thinkety-think$\ldots$ (mull over parameters) */
+
+mkpmap [-apg $globalpmap$ $nphotons$] \
+ [-apc $causticpmap$ $nphotons$] \
+ [-apv $volumepmap$ $nphotons$] $\ldots$ \
+ [$options$] $octree$
+
+/* Clickety-click$\ldots$ pokety-poke$\ldots$ */
+
+rpict | rtrace | rvu [-ap $globalpmap$ [$bwidth$]] \
+ [-ap $causticpmap$ [$bwidth$]] \
+ [-ap $volumepmap$ [$bwidth$]] $\ldots$ \
+ [$options$] $octree$
+ \end{lstlisting}
+ \end{minipage}
+ \end{center}
+ Doan' panic, parameters (highlighted in italics) will be explained in the
+ following sections.
+
+ Six photon types are available, which are stored in separate photon maps
+ and visualised differently:
+ \begin{description}
+ \item[Global photons] account for all indirect (ambient) illumination
+ incident on surfaces with a diffuse component.
+ \item[Caustic photons] account for all indirect specular to diffuse
+ transfers, i.e. caustics. These transport paths are also accounted for
+ by global photons, but not visualised directly like caustics.
+ \item[Volume photons] account for indirect illumination within
+ participating media using the \lit{mist} primitive. See
+ section \ref{sec:partMedia} for details.
+ \item[Direct photons] account for the direct component from light sources
+ and are intended to serve as a debugging option. These should be
+ rarely used in practice.
+ \item[Precomputed global photons]
+ store irradiance from precomputed density es\-ti\-ma\-tes from a
+ number of nearby photons. This is an optimised variant of global
+ photons and assumes a low indirect irradiance gradient. See section
+ \ref{sec:precomp} for details.
+ \item[Contribution photons] account for contributions from light
+ sources via references to the emitting source, which may also be
+ normalised as coefficients. This is a variant of global photons
+ intended for climate based modelling in conjunction with
+ \cmd{rcontrib}. See section \ref{sec:lsContribs} for details.
+ \end{description}
+
+ The stock \radiance{} functionality (referred to here as \radClassic)
+ is preserved in \cmd{rpict} when photon mapping mode is disabled.
+ When rendering with the photon map, the ambient calculation is
+ augmented by a photon map density estimate, but the direct and
+ indirect specular components are still delivered by \radClassic.
+
+
+
+ \subsection{Supported Materials}
+
+ Material types in \radiance{} must provide support for
+ probabilistically generating outgoing directions for incident photons
+ using Monte Carlo methods. The following material primitives support
+ photon mapping:
+
+ \begin{description}
+ \item[Analytical Gaussian:] \lit{plastic, metal, trans, plastic2,
+ metal2, trans2}
+ \item[Refracting/Reflecting:] \lit{glass, dielectric, interface,
+ mirror}
+ \item[Data-driven] \lit{bsdf}
+ \item[Mixtures:] \lit{mixfunc, mixdata}
+ \item[Patterns:] \lit{colorfunc, brightfunc, colordata, brightdata,
+ colorpict}
+ \item[Textures:] \lit{texfunc, texdata}
+ \item[Volumes:] \lit{mist, antimatter}
+ \end{description}
+
+ Materials with scattering defined procedurally or through tabulated data
+ are only partially supported. The \lit{plasfunc, metfunc, transfunc,
+ plasdata, metdata}, and \lit{transdata} materials currently only scatter
+ photons diffusely, and will not produce caustics.
+ The \lit{brtdfunc} material only produces
+ caustics via ideal (mirror) specular reflection and transmission.
+ These materials have been largely superseded by the more general
+ \lit{bsdf} material, which uses a highly optimised internal data
+ representation and efficient sampling, and is preferred for realistic
+ scattering behaviour.
+
+
+
+ \subsubsection{Participating Media}
+ \label{sec:partMedia}
+
+ The \radiance{} photon map supports indirect inscattering in
+ participating media defined with the \lit{mist} primitive.
+ Participating media are somewhat unwieldy in \radiance{};
+ in order for volume photons to function correctly with materials
+ which modify the coefficient of extinction and scattering albedo
+ (i.e. \lit{dielectric} and \lit{interface}), it is necessary to
+ surround the light source(s) and viewpoint with a \lit{mist} boundary (e.g.
+ \lit{bubble}), unless one intends to restrict volume photons to a
+ small section of the scene.
+
+ Furthermore, in order to obtain volume caustics from light passing through
+ an object (see \autoref{fig:cornell-volume} for such an example), it must
+ also be surrounded by a mist boundary. Alternatively, the mist parameters
+ can be set globally on the command line, however this requires setting the
+ source and viewpoint boundaries' extinction to zero, otherwise extinction
+ is accumulated.
+
+ Furthermore, \cmd{rpict} only accounts for inscattering along rays of
+ finite length, i.e. which intersect a local object. The scene
+ therefore requires peripheral geometry to delineate a finite expanse
+ of \lit{mist}, e.g. a boundary of this material for the entire scene.
+ All this just to make life more interesting.
+
+ That being said, volume photon mapping opens up interesting applications
+ beyond rendering caustics in fog or smoke, for example the simulation of
+ light propagation in architectural spaces \cite{Schr2019}, as shown in
+ \autoref{fig:pmapdump-sunpu}.
+
+
+
+ \subsubsection{Light Sources}
+
+ Light sources require additional code for photon emission. Currently
+ supported primitives are \lit{light, spotlight, glow}, and \lit{
+ source.} To ensure accurate distribution, light source geometries
+ are partitioned to a user specified resolution and photons emitted
+ from each partition.
+
+ The behaviour of a few emitter types differs from \radClassic. In the
+ case of the \lit{source} primitive there is no geometry to partition;
+ instead, the scene cube faces are partitioned and act as emitters,
+ unless photon \emph{ports\/} are used (see section \ref{sec:ports}).
+ Furthermore, the \lit{glow} primitive acts as regular light source
+ within its maximum radius for shadow testing, in which case its
+ contribution is accounted for by the photon map, otherwise it is
+ handled by \radClassic's ambient calculation. Virtual sources are
+ disabled with photon mapping, since caustic photons account for this
+ functionality.
+
+ As in \radClassic{}, light sources may be modified by function files.
+ Functions may access the following variables (see also \lit{rayinit.cal})
+ during photon emission, which are defined in terms of the photon origin on
+ the light source:
+ \begin{description}
+ \item[Dx, Dy, Dz]: the photon's direction, pointing towards its
+ origin on the light source
+ \item[Nx, Ny, Nz]: the surface normal on the light
+ source at the photon origin
+ \item[Px, Py, Pz]: the emitted photon's origin
+ on the light source
+ \item[Rdot]: the dot product of the surface normal and the
+ photon's direction at its origin.
+ \end{description}
+
+
+
+ \subsection{Optimisations}
+
+ A number of optimisations have been incorporated into the
+ implementation to either improve performance or accuracy. The user
+ must be aware of the fact that most of these optimisations incur
+ trade-offs; increasing performance will inevitably compromise
+ accuracy, and vice versa. Such is the harsh reality of Monte Carlo.
+
+
+
+ \subsubsection{Precomputed Global Photons}
+ \label{sec:precomp}
+
+ Per Christensen's precomputed photon mapping approach \cite{Chri2000}
+ has been integrated into \cmd{mkpmap} and is available via the
+ \opt{-app} option to accelerate the subsequent global photon gathering
+ step in \cmd{rpict}.
+
+ With this optimisation, global photon irradiance is precomputed for a
+ fraction of the photon positions and stored with the photons, while the
+ rest are discarded. This reduces the overhead of global photon lookups
+ during the gathering phase; only the single closest global photon is
+ retrieved, and its precomputed irradiance can be used directly (figure
+ \ref{fig:precomp}). The disadvantage of this optimisation is potential
+ local bias in scenes with nonuniform indirect illumination.
+
+ \begin{figure}[htb]
+ \centering
+ \fbox{%
+ \begin{minipage}{0.6\linewidth}
+ \includegraphics[width=\linewidth]{precomp}\\%
+ \parbox{\linewidth}{%
+ \caption{%
+ \label{fig:precomp}
+ Directly visualised precomputed global photon
+ irradiance. Note the caustic from the glass sphere.
+ }
+ }
+ \end{minipage}
+ }
+ \end{figure}
+
+
+
+ \subsubsection{Bias Compensation}
+ \label{sec:biascomp}
+
+ The density estimate bandwidth affords the user control over the
+ quality and accuracy of the rendering by trading off between noise
+ and bias. Setting the bandwidth too low may result in excessive
+ noise, while setting it too high may result in excessive blurring and
+ local bias in the solution.
+
+ To counter this bias/noise tradeoff, a \emph{bias compensation\/}
+ \cite{Schr2003} was developed and incorporated into the density
+ estimate as an option. Its purpose is to adapt the bandwidth within a
+ user specified lower and upper bound.
+
+ Bias compensation employs a binary search for an optimal bandwidth
+ based on the likelihood that deviations from a running average
+ irradiance are due to noise or bias. This results in substantially
+ improved contours in nonuniform indirect illumination (particularly
+ caustics) with a slight increase in noise in these regions (figure
+ \ref{fig:biascomp}).
+
+ \sloppy
+ The algorithm also compensates for boundary bias (irradiance falloff at
+ polygon edges) and chromatic bias. However, this sophistication comes
+ at a price, as it does impact performance noticeably.
+
+ \begin{figure}[htb]
+ \centering
+ \fbox{%
+ \begin{minipage}{0.95\linewidth}
+ \includegraphics[angle=-90, width=0.49\linewidth]
+ {spot-bias-50000-false}%
+ \hfill%
+ \includegraphics[angle=-90, width=0.49\linewidth]
+ {spot-biascomp-50000-false}\\%
+ \parbox{\linewidth}{%
+ \caption{%
+ \label{fig:biascomp}
+ Left: falsecolour rendering of severely biased caustic
+ with a bandwidth of 5000 photons. The caustic should
+ have an irradiance of 10 $W/m^2$. Right: falsecolour
+ rendering of the same caustic with bias compensation
+ using a bandwidth of 50--5000 photons.
+ }
+ }
+ \end{minipage}
+ }
+ \end{figure}
+
+
+
+ \subsubsection{Automatic Maximum Search Radius}
+ \label{sec:maxDist}
+
+ The photon lookup algorithm uses a maximum search radius to
+ identify the nearest neighbours. This radius is progressively reduced
+ during the search until the required number of photons (as defined by the
+ density estimate bandwidth) remain. Photons beyond the maximum search
+ radius are disregarded.
+
+ An appropriately sized maximum search radius will eliminate many
+ distant photons from the search, thus greatly accelerating the
+ process. Setting it too small, however, will result in a ``short''
+ lookup, with fewer photons found than requested with the bandwidth.
+ While this does not invalidate the resulting density estimate, a very
+ low number of photons will render it inaccurate due to excessive noise.
+
+ An optimal maximum search radius is difficult to predict as it
+ changes dynamically with the local photon density. The maximum search
+ radius is therefore estimated from the average photon distance to the
+ centre of gravity of the photon distribution. This adapts the maximum
+ search radius to the average photon density and accounts for
+ non-uniform concentrations of photons, as is often the case with
+ caustics.
+
+ In situations where the photon distribution is grossly skewed, the user
+ can manually override this automation in \cmd{rpict} by specifying a
+ fixed maximum search radius with the \opt{-am} option.
+
+
+
+ \subsubsection{Photon Ports}
+ \label{sec:ports}
+
+ Emitting photons from the \lit{source} primitive presents a
+ challenge; there is no local geometry associated with these directional
+ sources. While the default behaviour is to emit photons from the
+ scene cube faces, this can become highly inefficient for sources with
+ large solid angles. These are infact situations for which a forward
+ raytracer is fundamentally inappropriate. \radClassic's backward
+ raytracer fares better here, since sending a ray to a large source is
+ trivial. With the forward raytracer, the majority of emitted photons
+ will be lost and won't contribute to the photon map.
+
+ To aggravate the situation, directional sources are often used to render
+ interior daylit spaces. With the viewer positioned inside, the few
+ photons that actually strike the geometry must also pass through
+ windows or skylights before they can even contribute visibly to the
+ photon map. Needless to say, this amounts to abysmal performance.
+
+ A simple workaround to the problem is the concept of \emph{photon
+ ports\/}. The ports are basically apertures through which photons can
+ enter the space containing the viewpoint. These can be windows,
+ skylights, but also invisible polygons acting as boundaries within the
+ scene (figure \ref{fig:port}). The primary drawback to this scheme is
+ that it requires user intervention. The user must define the port geometry
+ and specify the objects by their modifiers using the \opt{-apo} option
+ to \cmd{mkpmap}. Adroit placement of ports can dramatically reduce the
+ photon loss factor, resulting in substantially shorter distribution
+ times with \cmd{mkpmap}.
+
+ \begin{figure}[!htb]
+ \centering
+ \fbox{%
+ \begin{minipage}{0.85\linewidth}
+ \includegraphics[width=\linewidth]{port5}
+ \parbox{\linewidth}{%
+ \caption{%
+ \label{fig:port}
+ Typical daylighting geometry with window as photon
+ port for directional light sources. Note that external
+ reflections are not accounted for by photons emitted
+ from the port.
+ }
+ }
+ \end{minipage}
+ }
+ \end{figure}
+
+ All objects in the scene description using the specified port
+ modifiers act as ports during photon distribution. Photons are then
+ emitted directly from the ports rather than from the scene cube
+ faces. The incident flux from directional sources is evaluated at each port
+ and the sources are checked for occlusion. However, no interreflection
+ calculation is made; a port differs from an \lit{illum} in this
+ respect. Photons are scattered by the port upon emission as if they
+ had passed through it.
+
+ By default, \emph{port objects are defined with their surface
+ normals pointing \underline{inwards}} as per \cmd{mkillum} convention.
+ This behaviour can be overridden with if the port normals happen to
+ point outwards; in this case, the port orientation can be reversed.
+ In addition, ports can also be configured to emit bidirectionally, i.e.
+ from either side. A possible use case is using a \lit{mist} volume boundary
+ as port; per definition, the photon will only scatter if it enters the
+ medium, i.e. if its normal points outwards. In this case, the port needs
+ to be reoriented to face inwards.
+
+ In some cases ports may not coincide with any scene geometry. These
+ situations call for invisible ports. Photons should be emitted from
+ them, but they should not be affected by scattering through the port,
+ and the port should not be visible during rendering. One simple
+ solution is to define photon ports using the \lit{antimatter}
+ modifier, with \lit{void} as its only string argument.
+
+ Photon ports are the only optimisation in the implementation which do
+ not compromise accuracy for performance, assuming correct
+ placement on behalf of the user. A more general approach using
+ Markov Chain techniques to automatically find viable photon paths
+ without user intervention may materialise one day. Maybe.\\[1em]
+ \noindent{\scriptsize Or not. Probably not.}
+
+
+ \subsubsection{Regions of Interest (ROIs)}
+ \label{sec:roi}
+
+ The photon map extension supports the specification of one or more regions
+ of interest, or ROIs, in which to exclusively store photons. \cmd{mkpmap}
+ currently accepts ROIs either as 3D coordinates defining bounding boxes
+ (rectangles) or spheres, or as material modifiers specifying polygons that
+ comprise enclosing non-convex polyhedra. ROIs are \emph{accumulated} as
+ they are parsed by \cmd{mkpmap}, consequently a simulation run can contain
+ several ROIs to constrain photons as needed.
+
+ The primary purpose of defining a ROI is to optimise the photon
+ distribution by concentrating photons where they contribute
+ significantly, and disregarding parts of the geometry which are out
+ of view or insignificant. A typical example is an interior space with
+ a fenestration, with many photons being deposited within the latter,
+ thus reducing the number of useful photons in the interior. The ROI
+ would then correspond to the extent of the interior and exlude the
+ fenestration. An example of this is shown in \autoref{fig:roi}.
+
+ \begin{figure}[tb]
+ \centering
+ \fbox{%
+ \begin{minipage}{0.95\linewidth}
+ \includegraphics[width=0.49\linewidth]
+ {scene-000-pmapdump-100k}%
+ \hfill%
+ \includegraphics[width=0.49\linewidth]
+ {scene-000-pmapdump-100k-roi}\\%
+ \parbox{\linewidth}{%
+ \caption{%
+ \label{fig:roi}
+ Photon distributions (visualised with \cmd{pmapdump}) within
+ an interior fitted with a redirecting system. Without
+ constraint, the majority of photons are stored in the
+ fenestration due to interreflection (left). By defining a
+ rectangular region of interest corresponding to the room's
+ extent with the \opt{-api} option, \cmd{mkpmap} only
+ deposits photons in the interior, resulting in an
+ improved distribution and rendering quality (right). This
+ example also uses an invisible \lit{antimatter} sensor
+ surface (defined via the \opt{-aps} option)
+ to deposit photons at work plane height. This is
+ noticeably underpopulated without ROI, thus impacting
+ illuminance measurements on it.
+ }
+ }
+ \end{minipage}
+ }
+ \end{figure}
+
+ A similar situation applies when defining a global mist by specifying
+ \opt{-me} on the command line in conjunction with a volume photon map.
+ Without constraint, volume photons will be stored \emph{everwhere}, which
+ is wasteful. Instead of explicitly defining a \lit{mist} boundary as part
+ of the geometry, it is more convenient to specify the actual polygons
+ enclosing an interior as a polyhedral ROI. An example of this is shown in
+ \autoref{fig:polyroi} for an unusal octahedral structure with sloping
+ roof.
+
+ \begin{figure}[tb]
+ \centering
+ \fbox{%
+ \begin{minipage}{0.95\linewidth}
+ \centering
+ \includegraphics[width=0.8\linewidth]
+ {kazenooka-polyroi-vpm-crop}\\%
+ \parbox{\linewidth}{%
+ \caption{%
+ \label{fig:polyroi}
+ Clipped plan view of an octagonal interior containing
+ volume photons (visualised with \cmd{pmapdump}) constrained
+ within a polyhedral region of interest (ROI).
+ A global \lit{mist} was defined on the command line to
+ deposit the volume photons.
+ Without a ROI, photons reflected or transmitted through
+ the fenestrations (a low opening at the bottom and a group
+ of skylights which have been clipped here) will also be
+ stored in the exterior. By defining a polyhedral ROI
+ comprised of polygons surrounding the interior
+ (walls, floor, ceiling, fenestrations) using the \opt{-aph}
+ option, \cmd{mkpmap} only deposits volume photons in the
+ enclosed space. This is conveniently done by specifying the
+ corresponding material modifiers of the polyhedron's
+ surfaces.
+ }
+ }
+ \end{minipage}
+ }
+ \end{figure}
+
+ Individual \textbf{bounding box ROIs} are specified as triplets of minimum
+ and maximum coordinates:
+ \begin{center}
+ \begin{minipage}{\linewidth}
+ \begin{lstlisting}
+mkpmap .. -api $min_x$ $min_y$ $min_z$ $max_x$ $max_y$ $max_z$ .. $octree$
+ \end{lstlisting}
+ \end{minipage}
+ \end{center}
+ Note that bounding box ROIs must be axis-aligned.
+
+ Individual \textbf{bounding sphere ROIs} are specified as triplets of
+ sphere origin and radius:
+ \begin{center}
+ \begin{minipage}{\linewidth}
+ \begin{lstlisting}
+mkpmap .. -apI $pos_x$ $pos_y$ $pos_z$ $rad$ .. $octree$
+ \end{lstlisting}
+ \end{minipage}
+ \end{center}
+
+ Individual polygons comprising \textbf{polyhedral ROIs} are
+ specified as by their common modifier, or by a set of modifiers read from
+ a file:
+ \begin{center}
+ \begin{minipage}{\linewidth}
+ \begin{lstlisting}
+mkpmap .. -aph $mod$ .. -apH $modfile$ .. $octree$
+ \end{lstlisting}
+ \end{minipage}
+ \end{center}
+ In realistic scenarios several instances of \opt{-aph} are required to
+ specify the polygons surrounding the ROI, as these will typically use
+ different materials (e.g. walls, ceiling, floor, fenestrations, etc).
+ In this case, it is more convenient to group all modifiers comprising
+ each polyhedral ROI in individual files, and specifying these via the
+ \opt{-apH} option instead. It is important to note that, while the
+ ROIs can be non-convex, no check is made to ensure the defined polyhedra
+ are infact closed nor degenerated (i.e. with overlapping polygons) --
+ this is the user's responsibility.
+
+ Once ROIs are defined, photons are only added to the photon map if their
+ hitpoints lie within one of the defined ROIs.
+ The photon path and the resulting contribution to the lighting solution
+ remains unaffected; path segments entering a ROI will deposit photons,
+ while those leaving a ROI will not. Note that the number of stored
+ photons remains approximately the same, but the photon map generation
+ can take considerably longer, depending on the volume and location
+ of the ROIs relative to the photon trajectories.
+
+ ROIs are an advanced option with inherent pitfalls, as excluding photons
+ represents a \emph{partial} solution of the light transport in the scene.
+ It is therefore assumed that the user is aware of the fact that irradiance
+ will be underestimated by \cmd{rtrace} outside the ROI. For example,
+ estimating glare from the fenestration in \autoref{fig:roi} would clearly
+ lead to underestimation as interreflections within the fenestration are
+ omitted.
+
+
+
+ \clearpage
+ \section{Generating photon maps with \cmd{mkpmap}}
+ \label{sec:mkpmap}
+
+ The \cmd{mkpmap} utility accepts a \radiance{} octree as input and
+ performs a forward raytracing pass to generate a photon map of each
+ specified type for the scene. The photons are stored in a space
+ subdividing data structure \cite{Bent1975} which facilitates nearest
+ neighbour queries required for the photon lookup step. The data
+ structure is written to a portable binary file for subsequent use by
+ \cmd{rpict}.
+
+
+
+ \subsection{Distribution Algorithm}
+
+ The parametrisation of the distribution step is primarily intended to
+ be user friendly; the user specifies the required number of photons
+ stored in each map. These are treated as ``targets'' which the photon
+ distribution code tries to attain, since there is no way of knowing
+ the outcome of the distribution a priori.
+
+ The distribution algorithm makes an educated guess at the number of
+ photons it must emit in order to satisfy the targets. This is based
+ on the results of a distribution prepass in which a small number of
+ photons (a fraction of the minimum specified target) is emitted and
+ distributed. Since the distribution process scales linearly, the
+ remaining number of photons to emit can be predicted and distributed
+ in the main pass. The actual number of photons generated after the
+ distribution is complete will approximate the targets.
+
+
+
+ \subsection{Distribution Failure}
+
+ The distribution step may bog down and terminate after a user
+ specified number of prepass attempts if any of the specified photon
+ maps are still empty. This is usually an indication of a scene
+ anomaly or an incompatible photon map specification. This is intended
+ as a convenience for the user; without it, \cmd{mkpmap} would end up
+ in an infinite loop. It is nevertheless the user's responsibility to
+ specify photon map types compatible with the materials and to check
+ the validity of the scene.
+
+ \noindent The following situations can cause \cmd{mkpmap} to fail:
+ \begin{itemize}
+ \item pathological scenes in which none of the light sources see any
+ geometry
+ \item specifying a global photon map for a scene containing no materials
+ with diffuse component
+ \item specifying a caustic photon map for a scene containing no
+ materials with diffuse or specular component
+ \item specifying a volume photon map for a scene lacking the
+ \lit{mist} primitive.
+ \end{itemize}
+
+
+
+ \subsection{Runaway Photons}
+
+ Photons may become trapped inside \lit{dielectric} or \lit{interface}
+ materials, often due to infinite total reflection. These ``runaway''
+ photons are terminated after a user defined bounce limit is exceeded,
+ and a warning is issued under the assumption that this is an anomaly
+ of the scene geometry.
+
+
+
+ \subsection{Progress Report}
+ \label{sec:mkpmap.report}
+
+ If progress reports are enabled, \cmd{mkpmap} will report the following
+ during distribution:
+
+ \begin{center}
+ \begin{minipage}{0.95\linewidth}
+ \begin{lstlisting}
+$N_e$ emitted, $N_g$ global, $N_c$ caustic, $N_v$ volume, $N_d$ direct,
+$p\ $% after $t$ hours, ETA= $t_r$h
+ \end{lstlisting}
+ \end{minipage}
+ \end{center}
+ where:
+ \begin{itemize}
+ \item \var{N_e} is the total number of emitted photons
+ \item \var{N_g}, \var{N_c}, \var{N_v}, and \var{N_d} is the number
+ of global, caustic, volume, and direct photons stored,
+ respectively
+ \item \var{p} is the percentage completed
+ \item \var{t} is the time elapsed.
+ \item \var{t_r} is the estimated time remaining
+ \end{itemize}
+
+ When generating a precomputed global photon map, a report will also
+ be issued subsequent to the distribution step, indicating the number of
+ precomputed photons:
+ \begin{center}
+ \begin{minipage}{0.95\linewidth}
+ \begin{lstlisting}
+$N_p$ precomputed, $p\,$% after $t$ hours
+ \end{lstlisting}
+ \end{minipage}
+ \end{center}
+
+
+
+ \subsection{Command line arguments for \cmd{mkpmap}}
+ \label{sec:mkpmapArgs}
+
+ The general synopsis of the \cmd{mkpmap} utility is:
+ \begin{center}
+ \begin{minipage}{0.95\linewidth}
+ \begin{lstlisting}
+mkpmap -apg|-apc|-apv|-apd|-app|[-apC|-apt|-apT|-apV] \
+ $pmapfile$ $nphotons$ [$precompbwidth$] $\ldots$ \
+ [$options$] $octree$
+ \end{lstlisting}
+ \end{minipage}
+ \end{center}
+ The options are as follows:
+
+ \begin{description}
+ \item{\opt{-apg} \var{pmapfile} \var{nphotons}}\\
+ Generate a global photon map containing approximately
+ \var{nphotons} photons, and output to \var{pmapfile}. This accounts
+ for all indirect illumination, from both specular and diffuse
+ scattering, on surfaces with a diffuse component. This is the
+ most general type of photon map and replaces the ambient
+ calculation in \cmd{rpict}.
+
+ \item{\opt{-apc} \var{pmapfile} \var{nphotons}}\\
+ Generate a separate caustic photon map containing approximately
+ \var{nphotons} photons, and output to \var{pmapfile}.
+ This is a subset of the global photon map intended for
+ direct visualisation at primary rays. This accounts for all
+ indirect illumination on diffuse surfaces from specular
+ scattering, which usually exhibits a large gradient and
+ requires a higher resolution than the global photon map,
+ typically containing the tenfold number of photons.
+
+ \item{\opt{-apv} \var{pmapfile} \var{nphotons}}\\
+ Generate a volume photon map containing approximately
+ \var{nphotons} photons, and output to \var{pmapfile}. These account
+ for indirect inscattering in participating media such as
+ \lit{mist} and complement the direct inscattering computed by
+ \cmd{rpict}. See also the \opt{-me}, \opt{-ma} and \opt{-mg}
+ options below.
+
+ \item{\opt{-apd} \var{pmapfile} \var{nphotons}}\\
+ Generate a direct photon map containing approximately
+ \var{nphotons} photons, and output to \var{pmapfile}. This only
+ accounts for direct illumination on diffuse surfaces, and is
+ intended for debugging and validation of photon emission from
+ the light sources, as the quality is too low for actual
+ rendering.
+
+ Direct photon maps are useful to determine suitable
+ settings for the \opt{-ds} and \opt{-dp} options when using
+ light sources with complex modifiers, as they provide a visual
+ check for the resolution of the probability density function
+ used for photon emission. Furthermore, it can serve as a
+ validation tool for comparison with \radiance's direct
+ component.
+
+ \item{\opt{-app} \var{pmapfile} \var{nphotons} \var{precompbwidth}}\\
+ Generate a precomputed global photon map containing a
+ fraction of \var{nphotons} photons (specified with the
+ \opt{-apP} option, see below), and output to \var{pmapfile}.
+
+ This is a special case of the global photon map where the
+ irradiance is evaluated with a bandwidth of \var{precompbwidth}
+ photons for a fraction of the photon positions, and stored as
+ photon flux; the remaining photons are discarded as their
+ contributions have been accounted for. This obviates the
+ explicit irradiance evaluation by \cmd{rpict}, thus effecting a
+ speedup at the expense of accuracy. The resulting error is
+ tolerable if the indirect illumination has a low gradient, which
+ is usually the case with diffuse illumination.
+
+ See section \ref{sec:precomp} for details on using precomputed
+ global photons.
+
+ \item{\opt{-apC} \var{pmapfile} \var{nphotons} \var{precompbwidth}
+ \var{comp}
+ \footnote{Contribution photon mapping is optional and requires
+ out-of-core storage, which is not enabled in the default build.
+ In addition, it is currently not supported on Windows.
+ On platforms that do support it, out-of-core storage must be
+ enabled at compile time with \opt{-DPMAP\_OOC}.
+ To verify if your build supports contribution photon mapping,
+ check if the \opt{-apC} option appears in the output of
+ \cmd{mkpmap -help}.
+ \label{note:contrib}
+ }
+ }\\
+ Generate a precomputed contribution photon map containing a fraction
+ of \var{nphotons} photons (specified with the \opt{-apP} option, see
+ below), and output to file \var{pmapfile}.
+ Only light sources may contribute, and are specified via their
+ modifier(s) with a subsequent \opt{-m} option (see below).
+ Each precomputed photon accumulates contributions from the
+ \var{precompbwidth} nearest photons into bins (specified with the
+ \opt{-bn} option, see below).
+ If \var{precompbwidth} is less than the number of bins, a warning
+ is issued, since some bins will be zero.
+
+ Ideally, \var{precompbwidth} should be a multiple of the number of
+ bins. If too many bins (default 50\%) are still zero, a warning
+ about an excessive empty bin ratio is issued, indicating potentially
+ biased contributions, and that the number of photons and/or
+ the bandwidth should be increased further. However, if very small
+ contributions are indeed expected in some bins, this warning should
+ be taken with a grain of salt.
+
+ Precomputed contribution photon maps can be used by \cmd{rcontrib}
+ to very efficiently evaluate binned light source contributions
+ (e.g. from sky patches) at multiple points by looking up the single
+ nearest precomputed photon. In contribution mode, \cmd{mkpmap} is
+ therefore designed to behave similarly to \cmd{rcontrib}.
+ To ensure the latter obtains binning parameters consistent with
+ those used in the precomputation, \cmd{mkpmap} outputs an option
+ file \var{pmapfile.opt} which must be passed to rcontrib via its
+ \opt{@@} option.
+
+ The \var{comp} parameter specifies a compression ratio for the binned
+ contributions in the range [0,~1], where 1 corresponds to maximum
+ compression, and 0 implies no compression at all. Compression is
+ recommended as it gives the user control over the size of the binned
+ contributions, which are saved in a separate file for each modifier;
+ depending on the number of photons and bins, these files can become
+ very large. Note however that \cmd{mkpmap} uses a \emph{lossy}
+ wavelet compression, which can introduce artefacts at higher
+ compression ratios if the lighting is complex (e.g. exhibits high
+ gradients). In typical scenarios, a compression ratio of 0.7--0.8
+ yields an acceptable compromise between accuracy and space savings.
+
+ With this option, \cmd{mkpmap} uses a modified photon distribution
+ algorithm that increases the odds that all selected light sources
+ contribute approximately the same number of photons. Because of this,
+ \cmd{mkpmap} cannot generate a contribution photon map in combination
+ with others in a single run, and other photon maps specified on the
+ command line will be ignored.
+
+ See section \ref{sec:lsContribs} for details on using precomputed
+ contribution photon maps with \cmd{rcontrib}.
+
+ \item{\opt{-apt} \var{pmapfile} \var{nphotons} \var{velocity}
+ \footnote{Transient photon mapping is experimental and requires
+ in-core (kd-tree) storage, which is enabled in the default build.
+ It is currently not supported with optional out-of-core storage
+ (\mbox{\opt{-DPMAP\_OOC}}). To verify if your build supports
+ transient photon mapping, check for the \opt{-apt} option
+ in the output of \cmd{mkpmap -help}.
+ \label{note:transient}
+ }
+ }\\
+ Generate a transient photon map with the given propagation velocity.
+ This is a variant of the global photon map with the distinction that
+ photons can be located in space and time. When a transient photon
+ interacts with a surface, its time of flight, subject to its
+ velocity, is recorded along with its position (technically, this is
+ internally expressed as the photon path length to simplify the
+ spatio-temporal distance metric used for photon lookups).
+
+ The velocity is expressed in units 1/sec in relation to
+ the scale of the simulation geometry. For reference, the speed of
+ light in a vacuum is 299792458 metres/sec (or 3e8 if you're not
+ Stephen Hawking). The velocity is currently treated as constant
+ in all media, and is consequently not adapted for the index of
+ refraction in \lit{dielectric} and \lit{interface} materials.
+ Relativistic effects are also not accounted for, since Stephen
+ Hawking doesn't use RADIANCE anyway\footnote{%
+ \url{https://www.youtube.com/watch?v=ITo3EvxWnPg}
+ }.
+
+ Transient photon maps are particularly useful to study the
+ propagation of light in extreme slow motion. See section
+ \ref{sec:transient} for details on how transient photons
+ can be rendered at specific points in time.
+
+ \item{\opt{-apT} \var{file} \var{nphotons} \var{velocity}
+ \footnoteref{note:transient} \footnoteref{note:lightflow}
+ }\\
+ Generate a transient lightflow photon map. This photon map combines
+ the attributes of lightflow and transient photons, i.e. transient
+ rendering at arbitrary locations in a volume (requiring a
+ participating medium). See options \opt{-apt} and \opt{-apV} for
+ details.
+
+ \item{\opt{-apV} \var{pmapfile} \var{nphotons}
+ \footnote{Lightflow photon mapping is experimental and not enabled
+ in the default build. It must be enabled at compile time with
+ \opt{-DPMAP\_PHOTONFLOW}. To verify if your build supports
+ lightflow photon mapping, check for the \opt{-apV} option in
+ the output of \cmd{mkpmap -help}.
+ \label{note:lightflow}
+ }
+ }\\
+ Generate a ``lightflow'' photon map containing \var{nphotons} photons.
+ This is a specialised variant of the volume photon map (see the
+ \opt{-apv} option above) designed to evaluate cubic illuminance at
+ arbitrary positions in space. In addition, the photon propagation in
+ space can be visualised with the output of \cmd{pmapdump}. Note
+ however, that illuminance from lightflow is generally less accurate
+ than using a global photon map with a dedicated virtual sensor plane
+ in conjunction with the \opt{-apS} option.
+
+ As with regular volume photon mapping,
+ lightflow photons require a participating medium in which they are
+ deposited. Unlike regular volume photon mapping however, lightflow
+ photons do not interact with the participating medium, and are
+ neither scattered nor absorbed; consequently, the photon
+ trajectories -- and therefore the light transport as a whole -- is
+ unaffected by the participating medium.
+
+ Lightflow photon mapping implies an albedo and eccentricity of 1
+ (corresponding to the options \opt{-ma} and \opt{-mg},
+ respectively) in participating media.
+ The coefficient of extinction, which can be defined locally for a
+ \lit{mist} primitive, or globally via the \opt{-me} option, is a free
+ parameter that determines the density of the deposited photons. It is
+ generally desirable to keep this parameter low to minimise
+ clustering, at the expense of slower photon distribution. Setting
+ this parameter too high can result in excessive linear clustering of
+ photons along their trajectories, leading to a "ray effect" and local
+ bias in the evaluated illuminance (this is readily apparent on visual
+ inspection with \cmd{pmapdump}). This parameter also depends on the
+ scale of the space in which the photons are deposited.
+
+ An unwanted side effect of lightflow photon mapping is that photon
+ distribution may overflow, particularly in dense media with high
+ extinction values. In this case, the predistribution factor (see
+ option \opt{-apD}) should be reduced accordingly. Future releases of
+ \cmd{mkpmap} may adjust this parameter automatically.
+
+ A lightflow photon map can be visualised with \cmd{pmapdump} or
+ evaluated as cubic illuminance with \cmd{rtrace}.
+ See section \ref{sec:lightFlow} for details on using lightflow
+ photon maps with \cmd{rtrace} and \cmd{pmapdump}.
+
+ \item{\opt{-apD} \var{predistrib}}\\
+ Photon predistribution factor; this is the fraction of
+ \var{nphotons} which are emitted in a distribution prepass in
+ order to estimate the remaining number of photons to emit in
+ the main pass to approximately yield a photon map of size
+ \var{nphotons}.
+
+ Setting this too high may yield more than
+ \var{nphotons} in the initial pass with highly reflective
+ geometry. Note that this value may exceed 1, which may be
+ useful if the resulting photon map size greatly deviates from
+ \var{nphotons} with a very low average reflectance.
+
+ \item{\opt{-aph} \var{mod}}\\
+ Defines all polygons using the material modifier \var{mod} as part of
+ a polyhedral region of interest (ROI). Photons will only be stored
+ within the volume enclosed by these surfaces. Multiple instances of
+ this option may be specified with cumulative effect to aggregate
+ surfaces into a polyhedron. An error is issued if the identified
+ geometry is not polygonal. However, no check is made to ensure the
+ polyhedron is closed and not degenerated (particularly due to
+ overlapping polygons) -- this is the user's responsibility.
+
+ This option is useful to constrain photons to only lie in relevant
+ regions of a scene, but
+ may increase the photon distribution time. Beware that this option
+ may lead to biased results. See section \ref{sec:roi} for details
+ and caveats on using ROIs.
+
+ \item{\opt{-apH} \var{modfile}}\\
+ Reads modifiers comprising polyhedral regions of interest (ROIs) from
+ \var{modfile}, separated by whitespace. This is convenient to
+ group modifiers per ROI if the geometry is complex and uses
+ multiple materials. See option \opt{-aph} for details and caveats
+ on using polyhedral ROIs.
+
+ \item{\opt{-api} \var{min_x} \var{min_y} \var{min_z}
+ \var{max_x} \var{max_y} \var{max_z}
+ }\\
+ Defines an axis-aligned rectangular region of interest (ROI) within
+ which to store photons exclusively; photons will only be stored
+ within the volume bounded by the given minimum and maximum
+ coordinates. Multiple instances of this option may be specified with
+ cumulative effect to define compound ROIs.
+
+ This option is useful to constrain photons to only lie in relevant
+ regions of a scene, but
+ may increase the photon distribution time. Beware that this option
+ may lead to biased results. See section \ref{sec:roi} for details
+ and caveats on using ROIs.
+
+ \item{\opt{-apI} \var{pos_x} \var{pos_y} \var{pos_z} \var{rad}}\\
+ Similar to \opt{-api}, but with a spherical region of interest of
+ given radius, centred at the given coordinates. See caveats there.
+
+ \item{\opt{-apm} \var{maxbounce}}\\
+ This option is synonymous with \opt{-lr} for backwards compatibility,
+ and may be removed in future releases.
+
+ \item{\opt{-apM} \var{maxprepass}}\\
+ Maximum number of iterations of the distribution prepass before
+ terminating if some photon maps are still empty. This option is
+ rarely needed as an aborted prepass indicates an anomaly in
+ the geometry or an incompatibility with the specified photon
+ map types.
+
+ \item{\opt{-apo}[\lit{+}$|$\lit{-}$|$\lit{0}] \var{portmod}}\\
+ Specifies a modifier \var{portmod} to act as a photon port. All
+ objects using this modifier will emit photons directly in lieu
+ of any distant light sources defined with the \lit{source} material.
+ This greatly accelerates photon distribution in scenes where
+ photons have to enter a space which separates them from the
+ emitting light source via an aperture (e.g. fenestration, skylight)
+ acting as a port.
+
+ In a typical daylight simulation scenario, a fenestration acts as a
+ port to admit photons into an interior after emission from sky and
+ solar sources. See section \ref{sec:ports} for details on using
+ photon ports. Multiple instances of this option may be specified.
+
+ By default, ports are oriented to emit from their front side, as
+ defined by their surface normal. This can be overridden by
+ specifying a trivalent suffix as follows:
+ \begin{description}
+ \item[\lit{+}\,:] forward emission; this is equivalent to the
+ abovementioned default behaviour,
+ \item[\lit{-}\,:] backward emission; the port is reversed and
+ photons are emitted from the back side.
+ \item[\lit{0}\,:] bidirectional emission; photons are emitted
+ from both sides of the port.
+ \end{description}
+ Typical situations that call for a reversed photon port include, for
+ example:
+ \begin{itemize}
+ \item Using fenestrations as ports that were (for whatever
+ reason) defined with outward facing normals, without having to
+ revise the model,
+ \item Using a \lit{mist} primitive as a port, since this requires
+ outward facing normals in order to register the photons as
+ having entered the volume.
+ \item Reorienting a port associated with a \lit{bsdf} modifier,
+ since inverting its normal would also reorient the BSDF and
+ alter its behaviour.
+ \end{itemize}
+ Other oddball scenarios are conceivable. If in doubt, specify a
+ bidirectional port orientation for a slight performance penalty,
+ as photon emission is attempted from both sides. For well-defined
+ port geometry with inward-facing normals, just use the default;
+ doan' mess with da normalz.
+
+ Photon port geometry is discretised according to the
+ \opt{-dp} and \opt{-ds} options. These parameters aid in resolving
+ spatially and directionally varying illuminance received by the port
+ from distant light sources, e.g due to partial occlusion
+ or when using climate-based sky models.
+
+ \item{\opt{-apO}[\lit{+}$|$\lit{-}$|$\lit{0}] \var{portfile}}\\
+ Read photon port modifiers from the file \var{portfile}, separated
+ by whitespace, as a more convenient alternative to multiple
+ instances of \opt{-apo}. The specified orientation is applied to
+ all modifiers in the file.
+
+ \item{\opt{-apP} \var{precomp}}\\
+ Photon precomputation factor; this is the fraction of
+ \var{nphotons} global or contribution photons to precompute, in
+ the range $]0,1]$, when using the \opt{-app} resp. \opt{-apC}
+ options. The remaining photons are discarded. See sections
+ \ref{sec:precomp} and \ref{sec:lsContribs} for details
+ on using precomputed global resp. contribution photons.
+
+ \item{\opt{-apr} \var{seed}}\\
+ Seed for the random number generator. This is useful for
+ generating different photon distributions for the same octree
+ and photon map size, notably in progressive applications.
+
+ \item{\opt{-aps}[\lit{+}$|$\lit{-}$|$\lit{0}] \var{sensmod}}\\
+ Specifies a modifier \var{sensmod} defined as \lit{antimatter}
+ material to act as a virtual (i.e. invisible) sensor surface.
+ Photons will be deposited on all surfaces using this modifier,
+ just like regular materials, but will then be transferred
+ through the surface without undergoing scattering; the surface
+ therefore does not affect the light transport and simply acts
+ as an invisible photon receiver. Note that \cmd{mkpmap} reports
+ an error if the specified modifier is not an \lit{antimatter}
+ material.
+
+ This is useful when photon
+ irradiance is to be evaluated at points which do not lie on
+ regular geometry, e.g. at workplane height with \cmd{rtrace}'s
+ \opt{-I} option. Without this workaround, photons would be
+ collected from parallel but distant planes, leading to
+ underestimation.
+
+ By default, virtual sensors are oriented to deposit photons incident
+ from their front side, as defined by their surface normal.
+ This can be overridden by specifying a trivalent suffix as follows:
+ \begin{description}
+ \item[\lit{+}\,:] Forward orientation; this is equivalent to the
+ abovementioned default behaviour.
+ \item[\lit{-}\,:] Backward orientation; the sensor is reversed
+ and only receives photons incident from the back.
+ \item[\lit{0}\,:] Bidirectional orientation; the sensor receives
+ photons from both sides.
+ \end{description}
+ See \autoref{fig:roi} for an example of a sensor surface in action.
+
+ \item{\opt{-apS}[\lit{+}$|$\lit{-}$|$\lit{0}] \var{sensfile}}\\
+ Read virtual sensor surface modifiers from the file \var{sensfile},
+ separated by whitespace, as a more convenient alternative to
+ multiple instances of \opt{-aps}. The specified orientation is
+ applied to all modifiers in the file.
+
+ \item{\opt{-ae} \var{excmod}}\\
+ Add \var{excmod} to the ambient exclude list, so that it will be
+ ignored by the photon map. Objects having \var{excmod} as their
+ modifier will not have photons deposited on them.
+ Multiple modifiers may be given, each as separate instances of this
+ option.
+
+ \item{\opt{-aE} \var{excfile}}\\
+ Same as \opt{-ae}, except modifiers to be excluded are read from
+ \var{excfile}, separated by whitespace.
+
+ \item{\opt{-ai} \var{incmod}}\\
+ Add \var{incmod} to the ambient include list, so that it will
+ contribute to the photon map. Only objects having \var{incmod} as
+ their modifier will have photons deposited on them. Multiple
+ modifiersmay be given, each as separate instances of this option.
+ Note that the ambient include and exclude options are mutually
+ exclusive.
+
+ \item{\opt{-aI} \var{incfile}}\\
+ Same as \opt{-ai}, except modifiers to be included are read from
+ \var{incfile}, separated by whitespace.
+
+ \item{\opt{-am} \var{maxdist}}\\
+ Maximum search radius for precomputed photon lookups. in conjunction
+ with the \opt{-app} or \opt{-apC} options.
+ See the discussion of \opt{-am} in section \ref{sec:rpictArgs}
+ for details.
+
+ \item{\opt{-bn} \var{nbins} \footnoteref{note:contrib}}\\
+ Set the number of bins for precomputed contribution photons in
+ conjunction with the \opt{apC} option to \var{nbins}. Analogous to
+ \cmd{rcontrib}, the bins discretise the hemisphere of incident
+ directions of contributions in the vicinity of each precomputed
+ photon. Each bin covers a range of incident directions using the
+ Shirley-Chiu disk-to-square mapping \cite{Shir1997}, whose
+ orientation can be defined with the \opt{-e} option.
+ This mapping is hardwired for precomputed contribution photons, and
+ cannot be changed. Effectively, \var{nbins} specifies the mapping
+ resolution.
+
+ The number of bins \var{nbins} must be an integer squared
+ $\left(\lfloor\sqrt{nbins}\rfloor\right)^2$, otherwise it
+ will be automatically rounded to the nearest such value.
+ If \opt{-bn} isn't specified, the default number of bins is 1, in
+ which case binning is disabled, and each photon carries the
+ integrated contributions from all directions.
+ The binning is effective for the next contribution modifier
+ specified with the \opt{-m} option (q.v.).
+
+ See also the discussion on binning in \cmd{rcontrib}'s manpage.
+
+ \item{\opt{-bv}[\lit{+}$|$\lit{-}]}\\
+ Toggles backface visibility; enabling this causes photons to be
+ stored and possibly scattered if they strike the back of a
+ surface, otherwise they are unconditionally absorbed and discarded.
+
+ \item{\opt{-dp} \var{sampleres}}\\
+ Angular resolution for sampling the spatial emission
+ distribution of a modified light source or photon port (e.g. via
+ \lit{brightfunc}), in samples per steradian. This determines
+ the accuracy of the numerical integration of the flux emitted
+ by the source or port, and may need to be increased with complex
+ distributions in combination with caustics.
+
+ \item{\opt{-ds} \var{partsize}}\\
+ Light source partition size ratio; this determines the spatial
+ resolution for photon emission from local light sources (or photon
+ ports in case of distant sources).
+ A light source or photon port is spatially partitioned to distribute
+ the photon emission over its surface. This parameter specifies the
+ ratio of the size (per dimension) of each partition to the scene cube
+ extent, and may need to be reduced for modified light sources with
+ high spatial variance, or for partially occluded photon ports.
+
+ \item{\opt{-e} \var{expr} \footnoteref{note:contrib}}\\
+ Parse expression \var{expr} to globally initialise binning variables
+ for all contribution modifiers in conjunction with the \opt{-apC}
+ option. For a list of relevant variables, see option \opt{-p} below.
+
+ \item{\opt{-ef} \var{diagfile}}\\
+ Redirect diagnostics and progress reports to \var{diagfile} instead of
+ the console.
+
+ \item{\opt{-fo}[\lit{+}$|$\lit{-}]}\\
+ Toggles overwriting of output files. By default, \cmd{mkpmap}
+ will not overwrite an already existing photon map file. This
+ is to prevent inadvertently destroying the results of
+ potentially lengthy photon mapping runs.
+
+ \item{\opt{-ld} \var{maxdist}}\\
+ Limits cumulative distance travelled by a photon along its path
+ to \var{maxdist}. Photon hits within this distance will be stored,
+ and the photon is terminated once its path length exceeds this
+ limit.
+
+ This is useful for setting radial regions of interest
+ around emitting/reflecting geometry, but may increase the photon
+ map generation times and yield biased results in regions
+ beyond \var{maxdist}. Discretion is advised.
+
+ \item{\opt{-lr} \var{maxbounce}}\\
+ Maximum number of bounces (scattering events) for a photon path
+ before being considered ``runaway'' and terminated. Photons
+ paths are normally terminated via Russian Roulette, depending
+ on their albedo. With unrealistically high albedos, this is
+ not guaranteed, and this option imposes a hard limit to avoid
+ an infinite loop.
+
+ \item{\opt{-m} \var{mod} \footnoteref{note:contrib}}\\
+ Include modifier \var{mod} in the precomputed contribution photon
+ map in conjunction with the \opt{-apC} option. This must be a light
+ source modifier, as photons can only carry contributions from their
+ emitting light sources; an error is issued if this is not the case.
+ The most recent binning options \opt{-bn} and \opt{-p} apply to
+ this modifier, and can be individually specified for subsequent
+ modifiers.
+
+ \item{\opt{-M} \var{modfile} \footnoteref{note:contrib}}\\
+ Similar to \opt{-m}, but load a list of contribution modifiers
+ from \var{modfile}. The most recent instances of binning parameters
+ \opt{-bn} and \opt{-p} are applied to all modifiers.
+
+ \item{\opt{-ma} \var{ralb} \var{galb} \var{balb}}\\
+ Set the global scattering albedo for participating media in
+ conjunction with the \opt{-apv} option. See the \cmd{rpict}
+ documentation for details.
+
+ \item{\opt{-me} \var{rext} \var{gext} \var{bext}}\\
+ Set the global extinction coefficient for participating media
+ in conjunction with the \opt{-apv} option. See the \cmd{rpict}
+ documentation for details.
+
+ \item{\opt{-mg} \var{gecc}}\\
+ Set the global scattering eccentricity for participating media
+ in conjunction with the \opt{-apv} option. See the \cmd{rpict}
+ documentation for details.
+
+ \item{\opt{-n} \var{nproc}
+ \footnote{Multiprocessing is currently not available on M\$ Wind0z
+ {\tiny (So tuff luck)},
+ as it doesn't support \radiance's process-based (as opposed to
+ thread-based) parallelism using the \textit{fork()}
+ syscall.
+ The photon mapping implementation conforms to this
+ convention, although POSIX threads would now clearly be the
+ preferred and portable approach.
+ }
+ }\\
+ Use \var{nproc} processes for parallel photon distribution. There
+ is no benefit in specifying more than the number of physical CPU
+ cores available (so doan' even try).
+
+
+ \item{\opt{-p} \var{var_1=val_1,\ var_2=val_2,\ \ldots}
+ \footnoteref{note:contrib}
+ }\\
+ Define per-modifier parameters \var{var_1,\ var_2,\ \ldots} for the
+ Shirley-Chiu mapping used to bin
+ precomputed contribution photons in conjunction with the \opt{-apC}
+ option. These parameters apply to the next contribution modifier
+ specified with the \opt{-m} option, and can be individually
+ redefined for subsequent modifiers. The companion option
+ \opt{-e} can be used to set global parameters for all modifiers.
+ The following variables can be set to define the mapping orientation:
+ \begin{itemize}
+ \item{\textit{RHS}}: 1 for right-handed coordinate system
+ (default), -1 for left-handed.
+ \item{\textit{rNx, rNy, rNz}}: surface normal
+ (defines $\theta = 0$, default [0, 0, 1])
+ \item{\textit{Ux, Uy, Uz}}: up vector (defines $\phi = 0$,
+ default [0, 1, 0])
+ \end{itemize}
+ See also this option's discussion in \cmd{rcontrib}'s manpage.
+
+ \item{\opt{-t} \var{sec}}\\
+ Output a progress report every \var{sec} seconds. See section
+ \ref{sec:mkpmap.report}.
+
+ \item{\opt{-v}[\lit{+}$|$\lit{-}]}\\
+ Boolean option to control \cmd{mkpmap}'s console output. If disabled
+ (the default), the output is terse, except for warnings and errors.
+ If enabled, the output is verbose, and includes information on
+ distribution prepasses, photon ports, and light source partitioning.
+ Verbose mode can generate excessive chatter and should only
+ be used for diagnostic purposes, for example if \cmd{mkpmap}
+ seemingly hangs (which can happen if many light source partitions
+ need to be processed).
+ It is a good idea to redirect verbose output with the \opt{-ef}
+ option, since excessive console output will actually slow
+ \cmd{mkpmap} down.
+
+ \item{\opt{-V}[\lit{+}$|$\lit{-}] \footnoteref{note:contrib}}\\
+ Boolean option to precompute contributions (enabled) or
+ normalised coefficients (disabled, the default) in conjunction
+ with the \opt{-apC} option.
+ See also this option's discussion in \cmd{rcontrib}'s manpage.
+ \end{description}
+
+ At least one of the \opt{-apg}, \opt{-apc}, \opt{-apv}, \opt{-apd},
+ \opt{-app} options (or \opt{-apC}, \opt{-apt}, \opt{-apT}, \opt{-apV},
+ if available~\footnoteref{note:contrib}~\footnoteref{note:transient}~%
+ \footnoteref{note:lightflow}) must be specified.
+ Most of these can be combined subject
+ to compatibility with the materials used in the scene (an exception
+ is the \opt{-apC} option, since contribution photons use a dedicated
+ distribution algorithm. The \opt{-apC} option, in contrast, uses a
+ different distribution algorithm and cannot be combined with the
+ aforementioned; these will simply be ignored when generating a
+ contribution photon map.
+
+
+ \subsection{Examples}
+
+ The following command generates a global photon map \lit{bonzo.gpm} and a
+ caustic photon map \lit{bonzo.cpm} containing approximately 10000 and 100000
+ photons, respectively, with a progress report being issued every 5 seconds:
+ \begin{center}
+ \begin{minipage}{0.95\linewidth}
+ \begin{lstlisting}
+mkpmap -apg bonzo.gpm 10k -apc bonzo.cpm 100k -t 5 \
+ bonzo.oct
+ \end{lstlisting}
+ \end{minipage}
+ \end{center}
+
+ Generate a global photon map containing 80000 photons, then precompute
+ the diffuse irradiance for 1/4 of these with a bandwidth of 40 photons:
+ \begin{center}
+ \begin{minipage}{0.95\linewidth}
+ \begin{lstlisting}
+mkpmap -app bonzo-precomp.gpm 80k 40 -apP 0.25 bonzo.oct
+ \end{lstlisting}
+ \end{minipage}
+ \end{center}
+
+ Generate 1 million global photons by emitting them from external light
+ sources of type \lit{source} into a reference room via a fenestration with
+ modifier \lit{glazingMat} acting as photon port, with inward-facing normal:
+ \begin{center}
+ \begin{minipage}{0.95\linewidth}
+ \begin{lstlisting}
+mkpmap -apg refRoom.gpm 1m -apo glazingMat refRoom.oct
+ \end{lstlisting}
+ \end{minipage}
+ \end{center}
+
+ Generate 10 million contribution photons from all light sources with
+ modifier \lit{bonzoLite}, precompute 1 million of these by accumulating
+ the contributions from the 2600 nearest photons into 256 bins,
+ and compress them by 75\%. Then accumulate these precomputed contributions
+ for a grid of sensor positions in \cmd{rcontrib}.
+ Note that the relevant binning parameters and modifiers are passed via
+ the option file \lit{bonzo-contrib.Cpm.opt} (see also section
+ \ref{sec:rcontribPmap} for details):
+ \begin{center}
+ \begin{minipage}{0.95\linewidth}
+ \begin{lstlisting}
+mkpmap -apC bonzo-contrib.Cpm 10m 2600 0.75 -apP 0.1 -bn 256 \
+ -m bonzoLite -V+ bonzo.oct
+
+rcontrib -ap bonzo-contrib.Cpm -o \%s.dat \
+ @@bonzo-contrib.Cpm.opt bonzo.oct < sensors.pos
+ \end{lstlisting}
+ \end{minipage}
+ \end{center}
+
+ Generate 10 million transient photons travelling at the approximate
+ speed of light (in m/s, assuming the geometry in \lit{bonzo.oct} is in
+ the same units):
+ \begin{center}
+ \begin{minipage}{0.95\linewidth}
+ \begin{lstlisting}
+mkpmap -apt bonzo-trans.tpm 10m 3e8 bonzo.oct
+ \end{lstlisting}
+ \end{minipage}
+ \end{center}
+
+ Generate 25 million "light flow" photons in a global participating medium
+ with extinction 0.001 (note reduced predistribution factor to prevent
+ overflow):
+ \begin{center}
+ \begin{minipage}{0.95\linewidth}
+ \begin{lstlisting}
+mkpmap -apV bonzo-flo.Vpm 25m -me 0.001 0.001 0.001 \
+ -apD 0.001 bonzo.oct
+ \end{lstlisting}
+ \end{minipage}
+ \end{center}
+
+ \clearpage
+ \section{Rendering Photon Maps with \cmd{rpict}}
+
+ The modified \cmd{rpict} rendering tool takes the photon map
+ generated by \cmd{mkpmap} and performs photon lookups and density
+ estimation. Without photon map functionality enabled, it behaves like
+ \radClassic.
+
+
+
+ \subsection{Caustic Photon Visualisation}
+ \label{sec:causticviz}
+
+ Caustic photons are visualised at points seen directly by the
+ observer, or via specular reflections. Virtual light sources
+ (normally enabled with the \lit{mirror} material) are disabled with
+ the photon map, as the resulting caustics are already accounted
+ for.
+
+ Note that irradiance calculations with \cmd{rtrace} using caustic
+ photons are surface bound; irradiance for points which do not lie on
+ surfaces will therefore be biased. As a workaround, \cmd{mkpmap}
+ offers the \opt{-aps} and \opt{-apS} options to specify an invisible
+ receiver surface with \lit{antimatter} material for storing photons
+ in the same plane as the sensor points. See section \ref{sec:mkpmap}
+ for details.
+
+
+
+ \subsection{Global Photon Visualisation}
+ \label{sec:globalviz}
+
+ Visualisation with a global photon map implies an ambient calculation,
+ thus \cmd{rpict}'s \opt{-ab} option defaults to 1; this differs from the
+ standard \radClassic behaviour, where the ambient calculation must be
+ explicitly enabled.
+
+ Global photon irradiance is visualised via an intermediate ambient
+ bounce (commonly referred to as \emph{final gather} in the literature
+ \cite{Chri2000}, see figure \ref{fig:visualisation}). This reduces
+ noise in the density estimates from the ambient daughter rays, and
+ the resulting ambient irradiance is cached and interpolated as in
+ \radClassic, unless explicitly disabled with the \opt{-aa 0} option.
+
+ \begin{figure}[tb]
+ \centering
+ \fbox{%
+ \begin{minipage}{0.75\linewidth}
+ \includegraphics[width=\linewidth]{visualisation}
+ \parbox{\linewidth}{%
+ \caption{%
+ \label{fig:visualisation}
+ Caustic photons are visualised at the primary
+ ray, while an intermediate stratified sampling
+ step is used between the primary ray and the
+ global photon density estimate
+ (\emph{final gather}).
+ }
+ }
+ \end{minipage}
+ }
+ \end{figure}
+
+ If the global photon irradiance was precomputed by \cmd{mkpmap} with
+ the \opt{-app} option, the ambient daughter rays return the
+ precomputed irradiance from the closest global photons. This improves
+ performance noticeably at the expense of accuracy if the indirect
+ irradiance changes rapidly, which is rarely the case with diffuse
+ illumination.
+
+ Specifying a negative number of ambient bounces \opt{-ab} enables a
+ debugging mode which does not spawn any ambient rays, but directly
+ visualises the global photon irradiance at the primary ray. This
+ provides a very rough but fast preview of the global illumination
+ solution contained in the photon map. Figure \ref{fig:precomp} is an
+ example of a such a preview for a precomputed photon map.
+
+ %Ambient values (specified with \opt{-av}) are ignored. ???
+
+
+ \subsection{Progress Report}
+ \label{sec:rpict.report}
+
+ Bias compensation statistics are provided in the progress report with the
+ standard \opt{-t} option. The statistics for each photon type
+ subject to bias compensation are reported as follows:
+
+ \begin{center}
+ \begin{minipage}{0.95\linewidth}
+ \begin{lstlisting}
+$N_{min}$/$N_{max}$/$N_{avg}$ $ptype$, ($\epsilon_{min}$/$\epsilon_{max}$/$\epsilon_{rms}$ error)
+ \end{lstlisting}
+ \end{minipage}
+ \end{center}
+ where:
+ \begin{itemize}
+ \item \var{N_{min}}, \var{N_{max}} and \var{N_{avg}} is the minimum,
+ maximum, and average number of photons used per density
+ estimate, respectively
+ \item \var{ptype} is one of \lit{global}, \lit{caustic},
+ \lit{volume}, or \lit{direct}.
+ \item \var{\epsilon_{min}}, \var{\epsilon_{max}}, and
+ \var{\epsilon_{rms}} is the minimum, maximum, and RMS (root mean
+ square) estimated relative errors in the resulting irradiance,
+ respectively.
+ \end{itemize}
+
+ Since bias cannot be determined without knowing the actual
+ illumination, there is no reliable way of separating it from noise. As
+ such, the error estimates are approximate and serve as a rough guide
+ to judge the quality of the bias compensation.
+
+
+
+ \subsection{Command Line Arguments for \cmd{rpict}}
+ \label{sec:rpictArgs}
+
+ The photon mapping backward pass is disabled by default and must be
+ explicitly enabled using the \opt{-ap} option. The different photon
+ map types may be renderered independently or in combination. Note
+ that rendering only the global or caustic photon map does not take
+ all light transport paths into consideration at the primary hitpoint.
+ Since modifying the lights or geometry invalidates the photon map, a
+ error is triggered if the octree is newer than the photon map,
+ referring to the latter as ``stale''.
+
+ In general, a physically valid simulation (assuming specular and diffuse
+ materials) with the photon map is obtained with the following basic
+ set of parameters:
+
+ \begin{center}
+ \begin{minipage}{\linewidth}
+ \begin{lstlisting}
+mkpmap -apg $globalpmap$ $nphotons$ -apc $causticpmap$ $nphotons$ $octree$
+
+rpict -ap $globalpmap$ $bwidth$ -ap $causticpmap$ $bwidth$ -ab 1 \
+ -vf $view$ $octree$
+ \end{lstlisting}
+ \end{minipage}
+ \end{center}
+
+ As with \radClassic, the \opt{-ad}, \opt{-ar}, and \opt{-aa}
+ parameters may need to be refined in some cases to improve the
+ rendering quality and accuracy. Some parameters are adopted from
+ \radClassic{} due to their assumed familiarity to the user, and have
+ similar semantics in the context of photon mapping.
+ The \cmd{rpict} photon mapping options are as follows:
+ \begin{description}
+ \item{\opt{-ab} \var{nbounces}}\\
+ This value defaults to 1 in photon mapping mode (see \opt{-ap}
+ below), implying that global photon irradiance is always computed
+ via one ambient bounce; this behaviour applies to any
+ positive number of ambient bounces, regardless of the actual
+ value specified.
+
+ A negative value enables a preview mode
+ that directly visualises the irradiance from the global photon
+ map without any ambient bounces. This is intended for debugging and
+ checking the irradiance distribution, as the quality of the
+ resulting renderings is generally poor with sparsely distributed
+ photons. If the global photons are
+ precomputed, this produces a Voronoi diagram.
+
+ As with \radClassic{},
+ setting this to 0 disables the ambient component, but caustic
+ photon irradiance is still visualised at the primary ray.
+
+ \item{\opt{-ap} \var{pmapfile} \var{[bwidth_1} \var{[bwidth_2]]}
+ \var{[time]}
+ }\\
+ Enables photon mapping mode. Loads a photon map generated with
+ \cmd{mkpmap} from \var{file}, and evaluates the indirect
+ irradiance depending on the photon type (automagically detected)
+ using density estimates with a bandwidth of \var{bwidth_1} photons,
+ or the default bandwidth if none is specified (a warning will be
+ issued in this case).
+
+ Global photon irradiance is evaluated as part of the ambient
+ calculation (see section \ref{sec:globalviz}), caustic photon
+ irradiance is evaluated at primary rays (see section
+ \ref{sec:causticviz}), and indirect inscattering in mist
+ is accounted for by volume photons. Contribution photons are
+ treated as global photons.
+
+ Additionally specifying \var{bwidth_2} enables bias compensation for
+ the density estimates with a minimum and maximum bandwidth of
+ \var{bwidth_1} and \var{bwidth_2}, respectively. See section
+ \ref{sec:biascomp} for details on how bias compensation works.
+
+ Global photon irradiance may be optionally precomputed by
+ \cmd{mkpmap} (see section \ref{sec:precomp}, in which case the
+ bandwidth, if specified, is ignored, as the nearest photon is
+ invariably looked up.
+
+ Using direct photons replaces the direct calculation with
+ density estimates for debugging and validation of photon
+ emission.
+
+ If \var{pmapfile} contains a transient photon
+ map,\footnoteref{note:transient} the photon density estimate
+ will cover the spatio-temporal domain in the vicinity of the
+ specified time-of-flight \var{time}, expressed in
+ seconds.\footnote{Internally, each photon's time-of-flight is
+ represented by the corresponding path length (distance
+ travelled), consequently the lookup is infact performed in
+ the spatial domain, using a distance metric with consistent
+ units.
+ }
+ The transient photons will be rendered at the given point in
+ time subject to their velocity specified with the \opt{-apt}
+ option when generating the photon map with \cmd{mkpmap}.
+
+ \item{\opt{-am} \var{maxdist}}\\
+ Maximum search radius for photon map lookups. Without this
+ option, an initial maximum search radius is estimated for
+ each photon map from the average photon distance to the dis‐
+ tribution's centre of gravity. It is then adapted to the
+ photon density in subsequent lookups.
+
+ This option imposes a
+ global fixed maximum search radius for all photon maps, thus
+ defeating the automatic adaptation. It is useful when multiple
+ warnings about short photon lookups are issued.
+
+ Note that this option does not conflict with the bandwidth
+ specified with the \opt{-ap} option; the number of photons
+ found will not exceed the latter, but may be lower if the maximum
+ search radius contains fewer photons, thus resulting in short
+ lookups. Setting this radius too large, on the other hand,
+ may degrade performance.
+
+ This setting applies to \emph{all} photon maps specified
+ with \opt{-ap}.
+
+ \item{\opt{-ac} \var{pagesize}
+ \footnote{Out-of-core photon mapping is not enabled in the
+ default build. In addition, it is currently
+ not supported on Windows. On platforms that do support it,
+ out-of-core storage must be enabled at compile time with
+ \opt{-DPMAP\_OOC}. To verify if your build supports out-of-core
+ photon mapping, check if the caching options \opt{-ac} and
+ \opt{-aC} appear in the output of \cmd{rpict -help}.
+ \label{note:ooc}
+ }
+ }\\
+ Set the photon cache page size. The photon cache reduces disk I/O
+ incurred by on-demand loading (paging) of photons, and thus
+ increases performance. This is expressed as a (float) multiple
+ of the density estimate bandwidth specified with \opt{-ap}
+ under the assumption that photon lookups are local to a
+ cache page.
+
+ Cache performance is sensitive to this parameter:
+ larger pagesizes will reduce the paging frequency at the
+ expense of higher latency when paging does occur. Sensible
+ values are in the range 4 (default) to 16.
+
+ \item{\opt{-aC} \var{cachesize} \footnoteref{note:ooc}}\\
+ Set the total number of photons cached when using out-of-core
+ photon mapping, taking into account the pagesize specified by
+ \opt{-ac}. Note that this is approximate as the number of
+ cache pages is rounded to the nearest prime. This allows
+ adapting the cache to the available physical memory. In
+ conjunction with the \opt{-n} option, this is the cache
+ size per parallel process.
+
+ Cache performance is less
+ sensitive to this parameter, and reasonable performance can
+ obtained with as few as 10k photons. The default is 1M. This
+ option recognises multiplier suffixes (k = $10^3$, M = $10^6$),
+ both in upper and lower case.
+
+ \item{\opt{-aH}[\lit{+}$|$\lit{-}]} \footnoteref{note:lightflow}\\
+ Boolean switch to enable hemisherical lookups for lightflow
+ photons. See section \ref{sec:altLightFlowIllum} for details.
+
+ \item{\opt{-aS}[\lit{+}$|$\lit{-}]} \footnoteref{note:lightflow}\\
+ Boolean switch to calculate mean spherical, instead of cubic,
+ irradiance from lightflow photons. See section
+ \ref{sec:altLightFlowIllum} for details.
+ \end{description}
+
+ \subsection{Examples}
+
+ To render ambient illuminance with a global photon map \lit{global.pm}
+ via one ambient bounce, and from a caustic photon map \lit{caustic.pm},
+ using a bandwidth of 50 photons for each:
+
+ \begin{center}
+ \begin{minipage}{0.95\linewidth}
+ \begin{lstlisting}
+rpict -ab 1 -ap global.pm 50 -ap caustic.pm 50 \
+ -vf scene.vf scene.oct > scene.hdr
+ \end{lstlisting}
+ \end{minipage}
+ \end{center}
+
+ To render transient luminance at 60 nanoseconds after photon emission
+ using a transient photon map (see option \opt{-apt} in section
+ \ref{sec:mkpmapArgs}):
+
+ \begin{center}
+ \begin{minipage}{0.95\linewidth}
+ \begin{lstlisting}
+rpict -ap bonzo-trans.tpm 50 6e-8 -ab -1 -vf scene.vf \
+ scene.oct > scene.hdr
+ \end{lstlisting}
+ \end{minipage}
+ \end{center}
+
+ Note the use of \opt{-ab -1} in the above example to bypass \radiance{}'s
+ ambient calculation, since the latter can only render the steady-state
+ illumination! See section \ref{sec:transient} for further details on
+ transient rendering.
+
+
+ \clearpage
+ \section{%
+ Precomputed Contribution Photon Mapping (Experimental)%
+ \footnoteref{note:contrib}
+ }
+ \label{sec:lsContribs}
+
+ The \radiance{} photon map supported the
+ computation of light source contributions for annual and
+ climate-based daylight simulation since 2015 \cite{Schr2015}.
+ In this workflow,
+ the scene supplied to \cmd{mkpmap} contains multiple light sources
+ representing either different time-dependent positions (sun positions
+ depending on season and time of day) or sky ``patches'' corresponding
+ to disrete regions in the sky dome modified by seasonal cloud cover
+ (for example from climate-based luminance distributions). All source
+ contributions are aggregated in one efficient simulation.
+ Unlike \cmd{rcontrib}, the photon map only supports contributions
+ from light sources, not arbitrary modifiers, and specifying a non-source
+ modifier results in an error.
+
+ The \cmd{rcontrib} tool supplied with \radiance{} can determine the
+ irradiance for each sun position or sky patch for a given sensor
+ position in the scene, thus efficiently accounting for each source's
+ contribution. In practice, this is done by accumulating the resulting
+ contributions into separate output files for each light source, and
+ optionally into individual ``bins'' that disretise the hemipshere of
+ incident directions at the photons' initial hitpoints immediately
+ after emission (see the \cmd{rcontrib} man page for details on binning
+ fundamentals).
+
+ The original contribution photon mapping implementation has been
+ revised to precompute contributions and store them in pre-assigned
+ bins, which are stored along with the photons in compressed form by
+ \cmd{mkpmap}. The expense of precomputation is amortised through
+ a caching scheme and multiple evaluations by \cmd{rcontrib} in a
+ (more or less dense) grid of sensor positions.
+ This implies that binning parameters
+ are static and already determined when the photon map is generated
+ with \cmd{mkpmap}.
+ This in turn implies a loss of flexibility over the previous
+ implementation, which binned photons dynamically in \cmd{rcontrib},
+ although in practice the binning resolution is rarely changed.
+
+ \begin{figure}[htb]
+ \centering
+ \fbox{%
+ \begin{minipage}{0.90\linewidth}
+ \centering
+ \includegraphics[width=0.8\linewidth]{shirley-chiu2-crop}\\
+ \parbox{\linewidth}{%
+ \caption{%
+ \label{fig:shirleyChiu}
+ Shirley-Chiu disk-to-square mapping used to ``bin''
+ contribution photon directions at their primary
+ hitpoints. This mapping has the desirable (for binning)
+ property of preserving adjacency and fractional area.
+ The disk is obtained by projecting the
+ hemisphere of incident directions on the receiving plane
+ defined by the mapping's normal.
+ }
+ }
+ \end{minipage}
+ }
+ \end{figure}
+
+ In addition, the binning function used by \cmd{mkpmap} is now
+ ``hardwired'' to the Shirley-Chiu disk-to-square mapping
+ \cite{Shir1997}, which maps the hemisphere of incident directions to
+ a square which is equally subdivided into the specified number of bins
+ in both dimensions (see figure \ref{fig:shirleyChiu}).
+ Thus, the user cannot specify an arbitrary mapping
+ function as with \cmd{rcontrib}. This is justified as the square
+ topology is required for the subsequent compression (see below) as
+ compared to a zonal binning such as Tregenza or Reinhart, where the
+ azimuthal resolution depends on the elevation angle.
+ The mapped disk is obtained by projecting the hemisphere of incident
+ directions on the receiving plane defined by the mapping's normal,
+ while the azimuthal angle $\Phi$ = 0 is defined by the mapping's up
+ vector (see options \opt{-e} and \opt{-p} in section \ref{sec:mkpmapArgs}).
+
+ With contribution photon mapping, the modifiers and binning parameters are
+ passed to \cmd{mkpmap} instead of \cmd{rcontrib} using the usual options
+ \opt{-m}, \opt{-bn}. In addition, global and per-modifier
+ variables to set the orientation of the binning function may be specified
+ with the usual options \opt{-e} resp. \opt{-p}
+ (see the discussion of these options in section \ref{sec:mkpmapArgs}).
+ In this respect, \cmd{mkpmap} behaves similarly to \cmd{rcontrib}.
+ Likewise, ray coefficients are supported by \cmd{mkpmap} via the
+ usual \opt{-V-} option, which amounts to normalising the emission of each
+ light source. However, this option cannot be reverted in \cmd{rcontrib}
+ when the photon map is loaded, and the option, if specified, will be
+ overridden in this case.
+ The number of bins specified with \opt{-bn} must be an integer square for
+ the Shirley-Chiu mapping, and will be rounded to the nearest such number
+ by \cmd{mkpmap} if necessary.
+
+ In support of light source contributions, \cmd{mkpmap} uses a
+ modified photon distribution algorithm via the \opt{-apC} option that
+ ensures each light source contributes approximately the same number
+ of photons, irrespective of its emitted flux. To compensate and
+ maintain energy balance, the flux of each photon is adjusted
+ accordingly, which can raise the variance of the resulting contributions.
+
+ The generated photon map \var{pmapfile} contains a set of child
+ photon maps for each specified modifier \var{mod}. Each child photon map
+ (stored in a subdirectory \lit{<pmapfile>.rc/} in turn contains the
+ photons emitted by light sources using this modifier. The photons are
+ stored out-of-core in a file \lit{<pmapfile>.rc/<mod>.leaf}
+ and paged on demand by \cmd{rcontrib}, as with regular (global, caustic
+ etc.) photons.
+ In addition, the binned and compressed contributions are stored in a
+ separate file \lit{<pmapfile>.rc/<mod>.wvt}.
+ An overview of this workflow with the inner workings of both
+ \cmd{mkpmap} and \cmd{rcontrib} is shown in figure
+ \ref{fig:contribOverview}.
+
+ Once the photons are distributed, a fraction of them is precomputed.
+ As with the precomputed global photon map, this precomputation factor
+ is specified with the \opt{-apP} option. A nearest neighbour search
+ using the bandwidth specified with the \opt{-apC} option is performed
+ in the neighbourhood of each precomputed photon, and the contributions
+ from each found photon \emph{emitted from the same light source modifier}
+ is accumulated for the precomputed photon in the specified number of bins.
+ If the bandwidth specified for precomputation is less than the number of
+ bins, a warning is issued, since some bins will be zero. As a rule of
+ thumb the bandwidth should be a multiple of the number of bins, which
+ in practice leads to large bandwidths (though bias is distributed over
+ the bins in this case).
+
+
+
+ \subsection{Wavelet Compression of Contributions}
+
+ The binned contributions for each precomputed photon can be compressed
+ to manage the size of the out-of-core contribution files, which can
+ easily exceed the terabyte range (assuming the underlying filesystem
+ even supports such sizes). To this end, \cmd{mkpmap}'s \opt{-apC} option
+ expects also a compression ratio \var{comp} in the range [0,1], which
+ specifies the space savings, where 0 implies no compression at all.
+ This compression ratio applies to all photons and all modifiers.
+
+ The contribution photon map uses a wavelet compression scheme, whereby
+ the binned contributions for each photon map are projected onto
+ biorthogonal basis functions (wavelets) and decomposed into a set of
+ corresponding coefficients. The binned contributions are represented as a
+ 2D matrix (the Shirley-Chiu square) and decomposed into coefficients along
+ both axes. The coefficients consist of a set that act as low pass filters
+ (approximations) and a second set the act as high pass filter (details).
+ The latter set is much larger and therefore subject to compression.
+
+ The contribution photon map uses a Daubechies DB2 wavelet
+ function\footnote{\url{http://wavelets.pybytes.com/wavelet/db2}} with
+ a support of 4 neighbouring samples (see crazy squiggles in figure
+ \ref{fig:daubechies}). This popular wavelet function offers
+ an acceptable compromise between compression and computational expense
+ (as its support is limited to four neighbouring samples). The wavelet
+ transform is similar to the Fourier transform in that it decorellates
+ the input signal (in this case the 2-dimensional matrix of binned
+ contributions) in both the spatial and frequency domains. This means that
+ detail coefficients will be low in regions where the signal exhibits
+ periodic behaviour, and at various intervals (corresponding to frequency
+ bands).
+
+ \begin{figure}[htb]
+ \centering
+ \fbox{%
+ \begin{minipage}{0.905\linewidth}
+ \centering
+ \includegraphics[width=0.7\linewidth]{Daubechies4-functions}\\
+ \parbox{\linewidth}{%
+ \caption{%
+ \label{fig:daubechies}
+ Daubechies DB2 biorthogonal wavelet functions
+ with a support of 4 neighbouring samples (or ``taps'').
+ The red wavelet function decomposes the samples into
+ detail (high frequency) coefficients, while the blue
+ scaling function (itself derived from, and orthogonal
+ to, the wavelet) decomposes the samples into approximation
+ (low frequency) coefficients. What this stuff looks like
+ in 2D is left up to the reader's imagination...
+ }
+ }
+ \end{minipage}
+ }
+ \end{figure}
+
+ \begin{figure}[p]
+ \fbox{%
+ \begin{minipage}{\linewidth}
+ \begin{minipage}{0.49\linewidth}
+ \centering
+ \includegraphics[width=\linewidth]{%
+ cpmapTest-64m-bn256-3200-comp0.5%
+ }\\
+ Compression 0.5
+ \end{minipage}
+ \hfill
+ \begin{minipage}{0.49\linewidth}
+ \centering
+ \includegraphics[width=\linewidth]{%
+ cpmapTest-64m-bn256-3200-comp0.6%
+ }\\
+ Compression 0.6
+ \end{minipage}\\[3mm]
+ \begin{minipage}{0.49\linewidth}
+ \centering
+ \includegraphics[width=\linewidth]{%
+ cpmapTest-64m-bn256-3200-comp0.7%
+ }\\
+ Compression 0.7
+ \end{minipage}
+ \hfill
+ \begin{minipage}{0.49\linewidth}
+ \centering
+ \includegraphics[width=\linewidth]{%
+ cpmapTest-64m-bn256-3200-comp0.8%
+ }\\
+ Compression 0.8
+ \end{minipage}\\[3mm]
+ \centering
+ \begin{minipage}{0.49\linewidth}
+ \centering
+ \includegraphics[width=\linewidth]{%
+ cpmapTest-64m-bn256-3200-comp0.9%
+ }\\
+ Compression 0.9
+ \end{minipage}\\[3mm]
+ \parbox{\linewidth}{%
+ \caption{%
+ \label{fig:contribCompression}
+ 3D plots of contributions calculated by \radClassic{}
+ (blue) and photon map (red) from annual sun positions
+ in 256 bins. The contributions are accumulated for an
+ interior floor sensor located in a simple square test room
+ symmetrically lit from fenestrations facing east and west.
+ The contribution photon map was compressed with ratios
+ of 0.5 to 0.9. In this example, compression artefacts
+ appear at the boundaries (corresponding to the horizon)
+ with 80\% compression and above. This is a known limitation
+ of wavelet compression if the input signal exhibits high
+ gradients at the boundary.
+ }
+ }
+ \end{minipage}
+ }
+ \end{figure}
+
+ However, unlike the Fourier basis functions $\sin$ and $\cos$,
+ wavelets have a finite support (the 4 neighbouring samples in case of DB2),
+ which does not lead to ripple artefacts exbhibited by the Fourier and
+ cosine transforms (the latter used in the JPEG image format, for example).
+ This desirable property, together with the ability to decorellate the
+ signal in discrete frequency bans, enables wavelets to preserve localised
+ peaks in the input signal even at high compression ratios. Like Fourier,
+ the ability to analyse signals at various frequencies makes wavelets
+ suitable for applications in filter banks.
+
+ Wavelet compression is realised by thresholding the
+ \var{100 \cdot comp}\% smallest detail coefficients (implicitly setting
+ them to zero without actually saving them), under the assumption they are
+ negligible for the reconstructed signal as a whole.
+ \textbf{This means wavelet compression is \underline{lossy} and may
+ introduce artefacts in the high frequency content of the reconstructed
+ contributions}. There is currently no mechanism in place to limit these
+ artefacts, and the choice of an approriate compression ratio is left
+ up the user's judgement (and his/her experience). In general, a compression
+ ratio of 0.6--0.7 can be considered relatively ``safe'', while ratios
+ of 0.8 or above should be used for sky contributions only (exluding solar
+ ones), since these typically exhibit low gradients.
+
+ Since the compression ratio is fixed, so is the number of resulting
+ compressed coefficients. While an adaptive number of thresholded
+ coefficients would reduce compression artefacts, a fixed number of
+ thresholded coefficients substantially reduces overhead when accessing
+ contribution records in the out-of-core contribution file (which actually
+ contains the thresholded wavelet coefficients).
+
+ The number of wavelet coefficients (and indirectly, the number of bins)
+ that can be compressed is limited by the wavelet matrix indices that are
+ saved along with the remaining coefficients after thresholding. These
+ indices are compactly encoded with a differential scheme and embedded
+ with the coefficients themselves. This differential encoding can overflow
+ if the remaining coefficients become too sparse, particularly for
+ large numbers of bins and high compression ratios. This overflow cannot be
+ predicted as it depends on the distribution of thresholded coefficients,
+ which in turn depends on the frequency content and energy distribution of
+ the contributions. However, \cmd{mkpmap} will issue a warning before
+ precomputing contributions if the encoding \emph{may} overflow for the
+ given number of bins.
+
+
+ \subsection{Evaluating Precomputed Contributions with \cmd{rcontrib}}
+ \label{sec:rcontribPmap}
+
+ The precomputed contribution photon map is loaded in \cmd{rcontrib}
+ with the usual \opt{-ap} option, and the precomputed contributions
+ from the nearest photon to each specified sensor position are accumulated,
+ in the specified number of bins.
+ If the photon map contains precomputed contributions as opposed to
+ coefficients (toggled via the boolean option \cmd{-V}), this setting
+ will be automatically overriden in \cmd{rcontrib}, accompanied by a
+ corresponding warning.
+
+ The binning parameters passed to \cmd{rcontrib} must agree with
+ those used to generate the photon map. This is necessary in particular
+ to correctly bin primary and specular rays incident on the sensors,
+ as these are not precomputed by the photon map.
+ Because \cmd{rcontrib} allocates its bins and output streams on-the-fly,
+ i.e. as it parses its command line arguments, they cannot be overriden
+ when the photon map is subsequently loaded (at which point its binning
+ parameters are actually known)\footnote{Well, at least they can't be
+ overridden without disastrous side-effects which would make Don Gregorio
+ very angry... \textbf{;\^{})}}.
+
+ Consequently, \cmd{mkpmap} dumps its relevant binning parameters and
+ modifiers to an option file, named after the photon map with an \lit{.opt}
+ suffix. This file must be passed to
+ \cmd{rcontrib} via its \cmd{@@} option to ensure its binning is consistent
+ with that of the precomputed contributions in the photon map.
+ \cmd{rcontrib} will report an error if the bin count (defaulting to 1 if
+ omitted) doesn't match the photon map's, and suggest using the option file.
+ When using the option file, it is not necessary to specify the modifiers
+ with the \opt{-m} option, as these are already included in the file.
+ The user may edit the option file to set per-modifier output streams
+ if necessary.
+
+
+
+ \subsection{Examples}
+ \label{sec:contribExamples}
+
+ A typical invocation of the \radiance{} photon map with light source
+ contributions consists of the following:
+ \begin{center}
+ \begin{minipage}{\linewidth}
+ \begin{lstlisting}
+mkpmap -apC bonzo.Cpm 50m 2500 0.75 -apP 0.1 -bn 256 -m bonzoLite \
+ -V+ bonzo.oct
+
+rcontrib -ap bonzo.Cpm -o %s-contrib.dat @@bonzo.Cpm.opt \
+ bonzo.oct < sensors.pos
+ \end{lstlisting}
+ \end{minipage}
+ \end{center}
+ where \lit{bonzoLite} is the light source modifier to bin, and
+ \lit{sensors.pos} is a file containing a list of sensor positions as
+ input for the irradiance calculation. The contributions
+ are output to a separate file for each modifer (in this case just
+ \lit{bonzoLite-contrib.dat}).
+ Note that \cmd{mkpmap} also generates the option file \lit{bonzo.Cpm.opt},
+ which is passed to \cmd{rcontrib} to ensure its binning and modifier
+ options are consistent with those precomputed in the photon map.
+
+ An example of a visual analysis of a redirecting component for a half
+ year using contribution photons is shown in figure
+ \ref{fig:koester-luxtherm-half}. The performance of the system
+ (consisting of retroreflecting blinds) can be assessed subject to
+ seasonal daylight availability. Redirection towards the ceiling is
+ evident particularly from January to April. Transmission, on the
+ other hand, occurs at low solar angles until March, before
+ transitioning into retroreflection at high solar angles.
+
+ \begin{figure}[p]
+ %\centering
+ \fbox{%
+ \begin{minipage}{\linewidth}
+ \includegraphics[width=\linewidth]{koester-luxtherm-half}
+ \parbox{\linewidth}{%
+ \caption{%
+ \label{fig:koester-luxtherm-half}
+ Retroreflecting blinds at 26 solar angles for a half year
+ (January to June, in weekly intervals) rendered with
+ contribution photon map and \cmd{rcontrib}. In each instance
+ the time of day is 1:00pm. Redirection and transmission dominate
+ until March, while retroreflection dominates in the following
+ months.
+ }
+ }
+ \end{minipage}
+ }
+ \end{figure}
+
+ \newgeometry{left = 1cm, right = 1cm, top = 1cm, bottom = 2cm}
+ \begin{figure}[p]
+ \fbox{%
+ \begin{minipage}{\linewidth}
+ \includegraphics[width=\linewidth]{contribpmap-overview2-crop}
+ \parbox{\linewidth}{%
+ \caption{%
+ \label{fig:contribOverview}
+ Overview of contribution photon mapping workflow.
+ Green paths denote inputs (parameters and sensor
+ positions), while red paths denote output.
+ Light source contributions for modifier \var{mod} are
+ binned using an \var{nbins^2}
+ Shirley-Chiu disk-to-square mapping, and wavelet
+ compressed for a fraction \var{precomp} of photons by
+ \cmd{mkpmap}. These contributions are saved along with
+ the corresponding photons in separate files for each
+ modifier, grouped in a subdirectory under the parent
+ photonmap \var{pmapfile}.
+ The photons and their precomputed contributions are
+ subsequently paged on demand, uncompressed, and cached by
+ \cmd{rcontrib}, which passes the contributions to
+ the standard contribution calculation used by
+ \radClassic{}.
+ }
+ }
+ \end{minipage}
+ }
+ \end{figure}
+ \restoregeometry
+
+
+
+ \clearpage
+ \section{%
+ Lightflow Photon Mapping (Experimental)%
+ \footnoteref{note:lightflow}
+ }
+ \label{sec:lightFlow}
+
+ ``Lightflow'' is an experimental method for architectural lighting design
+ and research to analyse the ``flow'' of light based on volume photon
+ mapping. Unlike surface-bound global or caustic photons, lightflow photons
+ represent the lighting distribution in abritrary space, much like a light
+ field, as it can convey directional illuminance \cite{Schr2021a, Yosh2022}.
+ As a precondition, the space must be enveloped by a participating medium
+ (i.e. global or locally defined \lit{mist}).
+
+ Lightflow photons are a specialised variant of volume photons which are not
+ scatter in participating media. When a lightflow photon map is generated,
+ participating media implicitly have an albedo $\alpha$ and scattering
+ eccentricity $g$ of 1 (i.e. no absorption and forward scattering,
+ respectively, see figure \ref{fig:lightFlowDistrib}).
+ Consequently, the photons are deposited
+ within the medium, but their paths are not altered. The density of the
+ deposited photons along each path is controlled by the coefficient of
+ extinction $\sigma_t$, and is considered a free parameter here.
+ Because the extinction alters the
+ photon density, it also affects the illuminance obtained from the photons,
+ consequently the photon flux $\Delta\Phi_p$ is automatically scaled by
+ $1 / \sigma_t$ in lightflow mode to compensate.
+
+ \begin{figure}[htb]
+ \centering
+ \fbox{%
+ \begin{minipage}{0.9\linewidth}
+ \centering
+ \includegraphics[width=0.8\linewidth]{isoscatter4-crop}
+ \flushright{%
+ \includegraphics[width=0.7565\linewidth]{noscatter2-crop}
+ } \\
+ \parbox{\linewidth}{%
+ \caption{%
+ \label{fig:lightFlowDistrib}
+ Top: Volume photons (red spheres) interact with particles
+ (white spheres) in participating media, and are scattered
+ with probability $\alpha$ (corresponding to the albedo),
+ and with a directional distribution determined by the
+ eccentricity $g$.\\
+ Bottom: lightflow photons are neither absorbed nor scattered
+ (or forward scattered) by the medium, and consequently their
+ paths are not altered, corresponding to an albedo and
+ eccentricity of 1.\\
+ In both cases, the extinction $\sigma_t$ determines the
+ mean free distance $\bar{s}$ of the photon between
+ interactions, and therefore the density with which they are
+ deposited in the medium.
+ }
+ }
+ \end{minipage}
+ }
+ \end{figure}
+
+ The extinction is a critical parameter in lightflow mode, as it has a
+ strong influence on the photon distribution and the resulting evaluation.
+ Generally, this parameter should be kept as low as possible, but this
+ prolongs photon distribution with \cmd{mkpmap}, as more photon paths need
+ to be generated. On the other hand, if the extinction parameter is too
+ large, the resulting cubic illuminance (see section \ref{sec:cubicIllum})
+ becomes severely biased. This bias is due to linear clustering of photons
+ along their paths, and is visually evident in the photon distribution
+ (see figure \ref{fig:lightFlowKaze}). This phenomenon is well
+ known with ill-posed mathematical models of participating media and
+ referred to as the \textit{ray effect} \cite{Lath1968}. As a general
+ rule, an extinction of $\sigma_t = 0.001$ would be a reasonable starting
+ value for most scenes.
+
+ There is an additional caveat with using higher extinction values, namely
+ that the two-pass photon distribution algorithm used by \cmd{mkpmap} to
+ achieve the target number of photons may fail. The default fraction of
+ photons emitted in the 1st pass (prepass) of \cmd{mkpmap} is tuned for
+ well-behaved geometry and materials using global or caustic photons.
+ This predistribution factor (see option \opt{-apD} in
+ section~\ref{sec:mkpmapArgs}) may be too high for volume photons in a
+ dense participating medium, and the photon distribution overflows in
+ the prepass with a ``photon map overflow'' error, meaning that the target
+ photon count was already exceeded. When using lightflow photons, the
+ predistribution factor may consequently need to be reduced from its
+ default if the prepass overflows.
+
+
+
+ \subsection{Cubic Illuminance from Lightflow Photons}
+ \label{sec:cubicIllum}
+
+ Lightflow photons can be used to analyse how light propagates in space.
+ In a quantitative analysis in particular, \cmd{rtace} can evaluate
+ \textit{cubic illuminance} \cite{Cutt2014} at given sensor positions.
+ This illuminance metric
+ is originally intended to conveniently measure a lightfield using six
+ measurements aligned with the three orthogonal axes passing through the
+ faces of a cube, in positive and negative directions (see figure
+ \ref{fig:cubicIllum}); this approximates the mean spherical illuminance.
+ (The orientation of the cube in world coordinates may be
+ arbitrary).
+ The resulting six illuminance readings $E_i$ can be aggregated into a
+ vector and reduced to scalar values that express both the symmetric and
+ directional (vector) components of the illuminance:
+ \begin{eqnarray}
+ \vec{E} &=&
+ \begin{bmatrix}
+ E_{+u} - E_{-u} \\
+ E_{+v} - E_{-v} \\
+ E_{+w} - E_{-w}
+ \end{bmatrix}
+ \label{eq:vectorIllum} \\
+ \vec{E}^\sim &=&
+ \begin{bmatrix}
+ E_{+u} + E_{-u} \\
+ E_{+v} + E_{-v} \\
+ E_{+w} + E_{-w}
+ \end{bmatrix} -
+ \frac{1}{2}
+ \begin{bmatrix}
+ \|E_u\| \\
+ \|E_v\| \\
+ \|E_w\|
+ \end{bmatrix} =
+ \begin{bmatrix}
+ \min\left(E_{+u}, E_{-u}\right) \\
+ \min\left(E_{+v}, E_{-v}\right) \\
+ \min\left(E_{+w}, E_{-w}\right)
+ \end{bmatrix}
+ \label{eq:symmIllum} \\
+ E_{sr} &=& \frac{\|\vec{E}\|}{4} \ + \
+ \frac{\sum_{i \in \left\{u, v, w\right\}} E_i^\sim}{3}
+ \label{eq:scalarIllum}
+ \end{eqnarray}
+ where eq.~\ref{eq:vectorIllum} is the illuminance vector $\vec{E}$
+ corresponding to the directional component, eq.~\ref{eq:symmIllum} is the
+ symmetric illuminance $\vec{E}^\sim$ corresponding to a "diffuse" term, and
+ eq.~\ref{eq:scalarIllum} is the scalar illuminance $E_{sr}$ which reduces
+ both the aggregate vector and symmetric terms to a convenient scalar term,
+ the latter approximating the mean spherical illuminance.
+ Furthermore, the vector/scalar illuminance ratio $\|\vec{E}\| / E_{sr}$
+ serves as an index for the directionality of light,
+ ranging from 0 (completely diffuse) to 4 (unilaterally lit).
+
+ \begin{figure}[htb]
+ \centering
+ \fbox{%
+ \begin{minipage}{0.65\linewidth}
+ \centering
+ \includegraphics[width=0.6\linewidth]{cubicillum2-crop}
+ \parbox{\linewidth}{%
+ \caption{%
+ \label{fig:cubicIllum}
+ Cubic illuminance configuration according to Cuttle.
+ }
+ }
+ \end{minipage}
+ }
+ \end{figure}
+
+ When \cmd{rtrace} loads a lightflow photon map, the normal ambient
+ calculation is disabled, and the \opt{-ab} option automatically defaults
+ to -1, meaning that no ambient rays are traced,
+ and cubic illuminance is directly evaluated at the sensor positions.
+ To evaluate cubic illuminance for a single sensor position, \cmd{rtrace}
+ must be supplied with 6 input records, consisting of a vector
+ $\vec{v} \in \left\{\pm\vec{u}, \pm\vec{v}, \pm\vec{w}\right\}$
+ corresponding to one of the 6 cube axes, and the sensor position $\vec{x}$,
+ which
+ is identical for all 6 input records\footnote{This parametrisation
+ is obviously redundant, but necessitated by \cmd{rtrace}'s input
+ record format.}:
+ \begin{eqnarray*}
+ \vec{x} & \vec{u} \\
+ \vec{x} & -\vec{u} \\
+ \vec{x} & \vec{v} \\
+ \vec{x} & -\vec{v} \\
+ \vec{x} & \vec{w} \\
+ \vec{x} & -\vec{w},
+ \end{eqnarray*}
+ This input yields the illuminance $E_i$ for each axis as output from
+ \cmd{rtrace}:
+ \begin{eqnarray*}
+ E_{+u,r} & E_{+u,g} & E_{+u,b} \\
+ E_{-u,r} & E_{-u,g} & E_{-u,b} \\
+ \ldots \\
+ E_{+w,r} & E_{+w,g} & E_{+w,b} \\
+ E_{-w,r} & E_{-w,g} & E_{-w,b},
+ \end{eqnarray*}
+ where $\left\{r, g, b\right\}$ denote the red, green and blue illuminance
+ components, respectively.
+ The illuminance vector $\vec{E}$, symmetric illuminance $\vec{E}^\sim$ and
+ the scalar illuminance $E_{sr}$ can be calculated from \cmd{rtrace}'s
+ output using a separate script as a postprocess. While it would be
+ convenient for \cmd{rtrace} to calculate $E_{sr}$ directly, this
+ is deemed too inflexible, since the RGB illuminance vector $\vec{E}$
+ could no longer be derived from this output, making it impossible to
+ assess directionality and colour bleeding, for example.
+
+
+
+ \subsection{Hemispherical and Mean Spherical Illuminance from Lightflow
+ Photons
+ }
+ \label{sec:altLightFlowIllum}
+
+ This section documents very hush-hush, totally semi-secret options for
+ alternative illuminance evaluation using lightflow photons. These options
+ are not documented in \cmd{rtrace}'s manpage as they are considered too
+ obscure and nobody gives a stuff about them anyway.
+ They are mainly included for testing and comparison and really
+ aren't terribly interesting to anyone. No, really.
+
+ Per default, the photons for each sensor position are located with a
+ nearest neighbour search in a spherical volume (see
+ upper figure~\ref{fig:lightFlowLookup}), and projected onto the plane
+ defined by the given cube axis (curresponding to the cube face). This
+ differs from the volume density estimate used to calculate instattering
+ from volume photons, which by definition is not referenced to any surface.
+
+ \begin{figure}[htb]
+ \centering
+ \fbox{%
+ \begin{minipage}{\linewidth}
+ \hfill
+ \includegraphics[width=0.48\linewidth]{sphillum3-crop}
+ \hfill
+ \includegraphics[width=0.48\linewidth]{hemisphillum3-crop}
+ \hfill\\
+ \parbox{\linewidth}{%
+ \caption{%
+ \label{fig:lightFlowLookup}
+ Lightflow photon lookups in spherical (left) and
+ hemispherical (right) volumes; photons accepted for the
+ density estimate are highlighted in red. In the latter case,
+ photons below the lookup plane are ignored, regardless
+ of whether they are incident from the front of back of the
+ plane. While this is theoretically more accurate, it will
+ lead to a larger search radius (not shown in relative scale
+ here) in order to locate the same number of photons as in a
+ spherical lookup, which may in turn increase bias.
+ }
+ }
+ \end{minipage}
+ }
+ \end{figure}
+
+ Alternatively, the photons for each sensor position can be located in
+ a hemispherical volume (see lower figure~\ref{fig:lightFlowLookup});
+ this is theoretically more accurate for
+ asymmetric illuminace, as photons located behind the plane defined by
+ each cube axis are not included in the density estimate. However, this
+ means the search radius is enlarged compared to a spherical lookup for
+ the same number of photons, which may increase bias.
+ The boolean \opt{-aH} option to \cmd{rtrace} enables hemispherical
+ lookups; this option is disabled per default, resulting in spherical
+ lookups.
+
+ Per default, lightflow photons are evaluated with the abovementioned
+ cubic illuminace. For the purposes of comparison, the photons can also
+ be evaluated in terms of the mean spherical illuminance (which cubic
+ illuminance is designed to approximate). In this case, the vectors
+ passed to \cmd{rtrace} are ignored (since mean spherical illuminace is
+ rotationally invariant), and a single input record per sensor position
+ suffices. The boolean \opt{-aS} option toggles between cubic illuminance
+ (disabled, the default), and mean spherical illuminance (enabled).
+ Note that mean spherical illuminance (\opt{-aS+}) and hemispherical
+ lookups (\opt{-aH+}) are mutually exclusive options.
+
+
+
+ \subsection{Lightflow Photon Visualisation}
+ \label{sec:lightFlowViz}
+
+ In addition to cubic illuminance, lightflow photons can also be
+ visually analysed in terms of their distribution with \cmd{pmapdump}
+ (see section~\ref{sec:pmapdump}). The \opt{-a} option of \cmd{pmapdump}
+ is particularly useful to generate a point list of lightflow photons
+ which can be interactively visualised in a suitable 3D point cloud viewer,
+ such as the open source CloudCompare software%
+ \footnote{\url{http://www.cloudcompare.org/}}. This facilitates
+ visually identifying concentrations of photons, which can in turn
+ reveal the location of light sources or scattering surfaces that
+ contribute significantly to the illuminance in space (see
+ figure~\ref{fig:lightFlowKaze}).
+ Furthermore, the illuminance vector (eq.~\ref{eq:vectorIllum}) can be
+ evaluated by \cmd{rtrace} in a sensor grid, and interactively visualised
+ (see figure~\ref{fig:lightFlowKazeVec}) for example using a ``cone''
+ representation.
+
+ \begin{figure}[p]
+ \fbox{%
+ \begin{minipage}{\linewidth}
+ \centering
+ \includegraphics[width=0.82\linewidth]{lightFlowKaze-0.001}\\[4mm]
+ \includegraphics[width=0.82\linewidth]{lightFlowKaze-0.01} \\[4mm]
+ \includegraphics[width=0.82\linewidth]{lightFlowKaze-0.1}
+ \parbox{\linewidth}{%
+ \caption{%
+ \label{fig:lightFlowKaze}
+ Lightflow photon distributions generated with extinction
+ values of 0.001 (top), 0.01 (middle), and 0.1 (bottom),
+ then extracted with \cmd{pmapdump} and visualised in
+ an interactive 3D modelling tool.
+ In this example, two lightflow photon maps from different
+ fenestrations (skylights in yellow, lower side window
+ in blue) were separately generated and dumped with
+ different colours
+ (using \cmd{pmapdump}'s \opt{-c} option), and output as a
+ point list with the \opt{-a} option.
+ With an extinction of 0.1 (bottom), the ``ray effect'' sets
+ in as photons are linearly clustered along their paths,
+ leading to biased illuminance. An extinction of 0.01 or
+ below is optimal for this scene.
+ Model courtesy of Prof. Nozomu Yoshizawa, Tokyo University
+ of Science.
+ }
+ }
+ \end{minipage}
+ }
+ \end{figure}
+
+ \begin{figure}[htb]
+ \centering
+ \fbox{%
+ \begin{minipage}{0.95\linewidth}
+ \centering
+ \includegraphics[width=\linewidth]{lightFlowKazeVec}
+ \parbox{\linewidth}{%
+ \caption{%
+ \label{fig:lightFlowKazeVec}
+ Illuminance vectors derived from lightflow photons in
+ figure \ref{fig:lightFlowKaze} represented by cones,
+ where the cone's orientation corresponds to
+ the dominant direction of the light flow at a given
+ sensor position, and the cone's length corresponds to
+ the vector magnitude.
+ }
+ }
+ \end{minipage}
+ }
+ \end{figure}
+
+
+
+ \subsection{Examples}
+
+ In the following example, \cmd{mkpmap} generates 25 million lightflow
+ photons in a global participating medium with extinction 0.001 (note the
+ use of the \opt{-apD} option to reduce the predistribution factor and
+ prevent an overflow during photon distribution). A subsequent call to
+ \cmd{rtrace} evaluates the illuminance $E_i$ along 6 axes at the origin
+ with a bandwidth of 2000 photons, and passes these to an \cmd{rcalc}
+ invocation. The latter (which would usually be coded in a script or a
+ \lit{.cal} file) calculates the illuminance vector \var{E}, the symmetric
+ illuminance \var{Esym} and the scalar illuminance \var{Esr}.
+
+ \begin{center}
+ \begin{minipage}{\linewidth}
+ \begin{lstlisting}
+mkpmap -apV bonzo.Vpm 25m -me .001 .001 .001 -apD .001 bonzo.oct
+
+echo 0 0 0 1 0 0 0 0 0 -1 0 0 \
+ 0 0 0 0 1 0 0 0 0 0 -1 0 \
+ 0 0 0 0 0 1 0 0 0 0 0 -1 | \
+rtrace -I -h -ap bonzo.Vpm 2000 | rlam - - - - - - | \
+rcalc -f rayinit.cal \
+ -e 'Exp = grey($\$$1, $\$$2, $\$$3); Exn = grey($\$$4, $\$$5, $\$$6);
+ Eyp = grey($\$$7, $\$$8, $\$$9); Eyn = grey($\$$10, $\$$11, $\$$12);
+ Ezp = grey($\$$13, $\$$14, $\$$15); Ezn = grey($\$$16, $\$$17, $\$$18);
+ Ex = Exp-Exn; Ey = Eyp-Eyn; Ez = Ezp-Ezn;
+ Esymx=min(Exp,Exn); Esymy=min(Eyp,Eyn); Esymz=min(Ezp,Ezn);
+ Esr = sqrt(Ex*Ex + Ey*Ey + Ez*Ez)/4 + (Esymx + Esymy + Esymz)/3;
+ $\$$1=Ex; $\$$2=Ey; $\$$3=Ez; $\$$4=Esymx; $\$$5=Esymy; $\$$6=Esymz; $\$$7=Esr'
+ \end{lstlisting}
+ \end{minipage}
+ \end{center}
+
+ The coloured lightflow photons in figure \ref{fig:lightFlowKaze} were
+ obtained from separate lightflow photon maps with the following commands:
+ \begin{center}
+ \begin{minipage}{0.95\linewidth}
+ \begin{lstlisting}
+mkpmap -apV kazenooka-skylight.Vpm -apo skylight 20m -apD 1 \
+ -me .001 .001 .001 -apH kazenooka-roi.txt kazenooka.oct
+
+mkpmap -apV kazenooka-sidelight.Vpm -apo sidelight 20m -apD 1 \
+ -me .001 .001 .001 -apH kazenooka-roi.txt kazenooka.oct
+
+pmapdump -a -n 20k -c 255 255 0 kazenooka-skylight.Vpm \
+ -a -n 20k -c 0 0 255 kazenooka-sidelight.Vpm > kazenooka.xyz
+ \end{lstlisting}
+ \end{minipage}
+ \end{center}
+
+ In this example, lightflow photons are separately emitted from a set of
+ skylights and a side fenestration with \cmd{mkpmap} by alternately
+ specifying their respective modifiers as ports with the \opt{-apo}
+ option (see section \ref{sec:ports}.
+ The space in the interior contains a global mist of extinction
+ 0.001 as specified with the \opt{-me} option. The photons are constrained
+ to lie only in the interior using a polyhedral region of interest (ROI)
+ specified with the \opt{-apH} option (see section \ref{sec:roi}); this is
+ more convenient than using a rectangular ROI with \opt{-api} due to the
+ octagonal geometry.
+ The subsequent \cmd{pmapdump} invocation outputs a combined ASCII point
+ list from both photon maps by specifying individual colours (yellow and
+ blue) to distinguish the photons in terms of their emitting ports.
+ Figure \ref{fig:polyroi} was similarly for the same scene, but with
+ a single \cmd{mkpmap} invocation using both ports, and without
+ \cmd{pmapdump}'s \opt{-a} option, which then outputs a \radiance{} scene
+ description instead,
+
+
+
+ \clearpage
+ \section{%
+ Transient Photon Mapping (Experimental)\footnoteref{note:transient}
+ }
+ \label{sec:transient}
+
+ We perceive, measure and therefore also tend to simulate light in a steady
+ state, because (most of us) can't discern movement at the speed of light.
+ Standard photon mapping techniques locate photons in the spatial
+ neighbourhood of a given point to evaluate illuminance. This, like
+ \radClassic{} and the overwhelming majority of lighting simulation
+ tools, assumes that the lighting distribution is in \emph{steady state},
+ i.e. illuminance and luminance do not change over time, much as you would
+ expect light to remain constant when you flick a switch as you enter
+ a room (unless the bulb pops or you've dropped acid).
+
+ \emph{Transient rendering} is a relatively new field in computer
+ graphics on the other hand, adds a temporal dimension
+ to the lighting simulation, resulting in a \emph{spatiotemporal}
+ domain \cite{Jara2014}. This means the lighting distribution is now a
+ function of the time $t$, and no longer steady. Specifically, it enables
+ the simulation of light propagation at specific instances in time.
+ This can offer insight into the light transport process in an architectural
+ interior for example (similarly to the concept of ``light flow''
+ described in section \ref{sec:lightFlow} from which it is infact
+ derived).
+
+ In particular, transient rendering can be used to assess
+ directional qualities of light that may be subdued and no longer
+ apparent in the steady state, and to study the influence of individual
+ fenestrations, skylights and scattering surfaces in temporal isolation.
+ Temporal colour bleeding effects, in particular, may be studied before
+ they are neutralised in steady state (see figure \ref{fig:cornellTrans}).
+ In the context of a photon mapping implementation, the photons are then
+ located in a spatiotemporal neighbourhood of a given point \emph{and a
+ given time}. Due to the additional temporal dimension, transient
+ photon maps need to be considerably larger than steady-state ones
+ of comparable quality.
+
+ \begin{figure}[p]
+ \fbox{%
+ \begin{minipage}{\linewidth}
+ \centering
+ \begin{minipage}{0.35\linewidth}
+ \centering
+ \includegraphics[width=\linewidth]{cornell-tpm1}\\
+ $t$ = 2.2 nsec
+ \end{minipage}
+ \hspace{4mm}
+ \begin{minipage}{0.35\linewidth}
+ \centering
+ \includegraphics[width=\linewidth]{cornell-tpm2}\\
+ $t$ = 3.2 nsec
+ \end{minipage}\\[4mm]
+ \begin{minipage}{0.35\linewidth}
+ \centering
+ \includegraphics[width=\linewidth]{cornell-tpm3}\\
+ $t$ = 3.8 nsec
+ \end{minipage}
+ \hspace{4mm}
+ \begin{minipage}{0.35\linewidth}
+ \centering
+ \includegraphics[width=\linewidth]{cornell-tpm4}\\
+ $t$ = 4.2 nsec
+ \end{minipage}\\[4mm]
+ \includegraphics[width=0.35\linewidth]{cornell-steady}\\
+ Steady-state\\
+ \parbox{\linewidth}{%
+ \caption{%
+ \label{fig:cornellTrans}
+ Four renderings of the cornell box using transient photon
+ mapping at different points in time, illustrating the
+ propagation of light from the ceiling light source.
+ Note the colour bleeding effects from reflections on the
+ blue and red walls after ca. 3 nsec. (Note also the
+ physically implausible specular reflection on the glass
+ sphere). In the steady state (below, rendered
+ with standard global and caustic photons), this colour
+ bleeding effect is mostly neutralised by subsequent
+ interreflections from the white surfaces.
+ A video of this sequence is available online.%
+ \footnoteref{note:cornellTransVid}
+ }
+ }
+ \end{minipage}
+ }
+ \end{figure}
+
+ For a (remotely) physically based simulation, the user has to specify the
+ photon velocity -- i.e. the speed of light $c$ = 299 792 458 m/s in a
+ vacuum -- in units of the scene geometry with \cmd{mkpmap}'s \opt{-apt}
+ option. Since this is up to the user, and \cmd{mkpmap} makes no assumptions
+ about, nor imposes any checks on, this parameter, there's nothing
+ preventing a physically implausible photon velocity, e.g. $>c$ or
+ in the sonic or even glacial range.
+
+ The transient photon mapping implemenation is currently experimental and
+ simplistic, and makes a few simplifying assumptions. These include:
+ \begin{itemize}
+ \item Relativistic effects (Lorentz contraction, doppler effect) are
+ not considered; we apologise to Stephen Hawking for the
+ inconvenience.
+ \item The velocity is constant and does not consider the index of
+ refraction of the medium (notably dielectrics) in which the photons
+ propagate.
+ \item Specular reflections are still steady state, as they are
+ calculated using \radClassic's routines. This is obvious in
+ figure \ref{fig:cornellTrans}, for example.
+ \end{itemize}
+
+ On top of the usual photon attributes such as position and flux,
+ a transient photon also includes the time the photon was deposited,
+ i.e. its \emph{time of flight}.
+ This is internally represented as the photon's cumulative path length
+ (subject to the specified photon velocity) instead of absolute time, as
+ it transforms the temporal domain into a spatial one which is consistent
+ with that used by the existing photon lookup routines; the neighbouring
+ photons are found based on similar positions
+ \emph{and similar path lengths}. This approach limits skewing the lookup
+ volume in either the spatial or temporal dimensions. Nevertheless,
+ transient photon lookups are subject to the same bias effects as
+ those for steady state photons, and this incurs and \emph{additional
+ temporal bias} on top of the already discussed spatial bias. This is why
+ the wavefronts on the wall in in figure \ref{fig:cornellTrans} appear
+ blurred when they should actually be infinitely narrow. Specialised
+ transient renderers can indeed achieve this, but this is beyond the scope
+ and capabilities of \radiance.
+
+ Transient photon (il)luminance can be rendered with \cmd{rpict} by
+ specifying a photon bandwidth as for steady-state photon maps, and an
+ additional timestamp $t$ for the lookup.
+ Photons will then be located in the
+ neighbourhood of pixel coordinates \emph{and} the time $t$. Note that the
+ simulation spans a definite time interval which can be queried with
+ \cmd{getinfo} (see section \ref{sec:getinfo}). The timespan starts at
+ $t$ = 0, which corresponds to the time of photon emission from either
+ light sources or photon ports; in the temporal context, all photons are
+ emitted simultaneously, consequently the placement of photon ports
+ \emph{does} matter here.
+ The timespan ends when photon distribution has run to completion, i.e. the
+ last photon has been absorbed. While it is an error specify a negative
+ time, a time $t$ beyond the simulation timespan is accepted but will
+ return zero (il)luminance.
+
+ Typically transient photons will be rendered as a sequence of frames
+ at different times which can be aggregated into a video. A Python script
+ for this purpose, \cmd{transpmap.py}, is available\footnote{Available
+ by request from the author under
+ \href{mailto:roland.schregle@@gmail.com}{roland.schregle@@gmail.com},
+ at least until it is part of the official \radiance{} distro.
+ }
+ to facilitate the generation of videos for given timespans and time
+ increments. Examples of such videos are available online.%
+ \footnote{Cornell transient sequence available online at:\\
+ \url{%
+ https://www.researchgate.net/project/3D-Light-Flow/update/61070aff181c2e4f4a7d0f28
+ }
+ \label{note:cornellTransVid}
+ }%
+ \textsuperscript{,}%
+ \footnote{Villa M\"uller transient sequences are available online at:\\
+ \url{%
+ https://www.researchgate.net/project/3D-Light-Flow/update/61070620647f3906fc8d475c
+ }
+ and\\
+ \url{%
+ https://www.researchgate.net/project/3D-Light-Flow/update/61070d452897145fbd65a96e
+ }
+ \label{note:vmuellerTransVid}
+ }
+ Using a sufficiently small time increment per video frame can give the
+ illusion of extreme slow motion, effectively dilating time, which of
+ course makes Stephen Hawking very happy! (Plus it's mindbuggering to
+ look at...)
+
+
+
+ \subsection{Examples}
+
+ The following example generates 100 million transient photons (note $c$
+ is scaled to mm/sec since these are the units of \lit{bonzo.oct}),
+ and renders the luminance at $t$=5 nanoseconds using a spatiotemporal
+ bandwidth of 100 photons:
+ \begin{center}
+ \begin{minipage}{0.95\linewidth}
+ \begin{lstlisting}
+mkpmap -apt bonzo.tpm 100m 2.99792458e11 $\ldots$ bonzo.oct
+
+rpict -ap bonzo.tpm 100 5e-9 $\ldots$ bonzo.oct
+ \end{lstlisting}
+ \end{minipage}
+ \end{center}
+
+ The following example uses the \cmd{transpmap.py} script to generate
+ a sequence of transient renderings of the Villa M\"uller over a timespan
+ of 100 nanoseconds, and aggregate them into a video
+ (see also figure \ref{fig:vmuellerTrans}). While \cmd{transpmap.py} can
+ generate the photon map and renderings in a single invocation, this
+ particular example generates the photon map separately, then renders
+ the sequence in a subsequent call using the same scene \emph{without
+ sky and solar sources} for a more dramatic and artsy effect, and 'cos
+ we just like it that way:
+ \begin{center}
+ \begin{minipage}{0.95\linewidth}
+ \begin{lstlisting}
+transpmap.py -c 2.99792458e11 -p 200m -n 8 -T 0 vmueller.oct -apo Window -apo port
+
+transpmap.py -r -E +1 -b 150 -m 50 -x 1000 -y 1000 -n 8 -T 1e-7 -d 2.5e-10 -f 25 xsection-l.vf vmueller-nosrc.oct
+ \end{lstlisting}
+ \end{minipage}
+ \end{center}
+ Parameters here include:
+ \begin{itemize}
+ \item Transient photon velocity $c$ in mm/sec
+ \item 200 million transient photons
+ \item Additional parameters to \cmd{mkpmap} to define photon ports
+ for fenestrations and skylights.
+ \item Parallel execution on 8 cores
+ \item Reuse of existing photon map with option \opt{-r}
+ \item Frame exposure of +1 stops to linearly tonemap each frame with
+ \cmd{pcond}
+ \item Spatiotemporal lookup bandwith of 150 photons
+ \item Maximum lookup radius of 50 mm (reduces banding artefacts at the
+ expense of longer rendering times)
+ \item Maximum frame resolution of 1000$\times$1000 (adjusted to the
+ aspect ratio)
+ \item Time increment of 250 picoseconds per rendered frame
+ \item Video frame rate of 25 fps
+ \item View file \lit{xsection-l.vf} which defines a fore clipping plane
+ to obtain a cross-sectional view of the building
+ \end{itemize}
+ See \cmd{transpmap.py -h} for detailed help on these parameters.
+
+ \begin{figure}[p]
+ \fbox{%
+ \begin{minipage}{\linewidth}
+ \centering
+ %\begin{minipage}{0.45\linewidth}
+ % \centering
+ % \includegraphics[width=\linewidth]{vmueller-r-7.000e-09}\\
+ % $t$ = 7 nsec
+ %\end{minipage}
+ %\hfill
+ \begin{minipage}{0.49\linewidth}
+ \centering
+ \includegraphics[width=\linewidth]{vmueller-r-1.200e-08}\\
+ $t = 12$ nsec
+ \end{minipage}
+ \hfill
+ \begin{minipage}{0.49\linewidth}
+ \centering
+ \includegraphics[width=\linewidth]{vmueller-r-2.200e-08}\\
+ $t = 22$ nsec
+ \end{minipage}\\[4mm]
+ \begin{minipage}{0.49\linewidth}
+ \centering
+ \includegraphics[width=\linewidth]{vmueller-r-2.625e-08}\\
+ $t = 26$ nsec
+ \end{minipage}
+ \hfill
+ \begin{minipage}{0.49\linewidth}
+ \centering
+ \includegraphics[width=\linewidth]{vmueller-r-3.500e-08}\\
+ $t = 35$ nsec
+ \end{minipage}\\[4mm]
+ \begin{minipage}{0.49\linewidth}
+ \centering
+ \includegraphics[width=\linewidth]{vmueller-r-4.050e-08}\\
+ $t = 40$ nsec
+ \end{minipage}
+ \hfill
+ %\begin{minipage}{0.45\linewidth}
+ % \centering
+ % \includegraphics[width=\linewidth]{vmueller-r-4.600e-08}\\
+ % $t$ = 46 nsec
+ %\end{minipage}\\[2mm]
+ \begin{minipage}{0.49\linewidth}
+ \centering
+ \includegraphics[width=\linewidth]{vmueller-r-5.200e-08}\\
+ $t = 52$ nsec
+ \end{minipage}\\
+ \parbox{\linewidth}{%
+ \caption{%
+ \label{fig:vmuellerTrans}
+ A sequence of transient renderings of the Villa M\"uller
+ presented in a cross-sectional view. This scene exhibits
+ complex light propagation due to the combination of
+ skylights, two stairwells, deep halls and large windows.
+ Among the effects observed are: interreflection in the
+ central stairwell ($t=26$ nsec), colour bleeding from the red
+ marble floor ($t=35$ nsec), temporally isolated caustics
+ ($t=40$ nsec), light from the right panorama window
+ reaching the left stairwell ($t=52$ nsec, corresponding
+ to a propagation distance of ca. 16m).
+ Videos of this sequence are available online.%
+ \footnoteref{note:vmuellerTransVid}
+ }
+ }
+ \end{minipage}
+ }
+ \end{figure}
+
+
+
+ \clearpage
+ \section{Utilities}
+ \subsection{Querying the Photon Map with \cmd{getinfo}}
+ \label{sec:getinfo}
+
+ The \cmd{getinfo} tool supplied with \radiance{} can extract
+ the build parameters and statistics about a photon map from the
+ header of the corresponding file. As with other file types, \cmd{getinfo}
+ can query multiple photon maps in one command line.
+ The output may include the following fields (photon type-specific output
+ is enclosed in parentheses):
+ \begin{center}
+ \begin{minipage}{0.95\linewidth}
+ \begin{lstlisting}
+#?RADIANCE
+$cmdline$
+NumPhotons = $N_p$
+AvgFlux = [$\phi_r$, $\phi_g$, $\phi_b$]
+Bbox = [$min_x, min_y, min_z$] [$max_x, max_y, max_z$]
+CoG = [$CoG_x, CoG_y, CoG_z$]
+MaxDist^2 = $r_{max}^2$
+[
+ Velocity = $c$ / sec
+ Timespan = [$t_{min}, t_{max}$] sec
+ AvgPathLen = $\bar{s}$
+]
+[
+ Photon Map contains precomputed [linear|logarithmic]
+ [contributions|coefficients]
+ Num bins = $scDim \times scDim = nbins$
+ Num coeffs = $m_d/m_{d,0}$ compressed detail, $m_s$ approx, $m_t$ total
+ Compression = $comp$ %
+ mRGBE config= $mant_r$:$mant_g$:$mant_b$:$exp$:$idx$
+]
+FORMAT =$fmt$
+VERSION =$ver$
+ \end{lstlisting}
+ \end{minipage}
+ \end{center}
+ where:
+ \begin{itemize}
+ \item \var{cmdline} is the \cmd{mkpmap} command line used to build
+ the photon map, including all arguments,
+ \item \var{N_p} is the total number of photons in the photon map,
+ \item \var{[\phi_r, \phi_g, \phi_b]} is the RGB photon flux averaged
+ over all \var{N_p} photons.
+ \item \var{[min_x, min_y, min_z]} and \var{[max_x, max_y, max_z]}
+ are the minimum resp. maximum photon positions.
+ \item \var{[CoG_x, CoG_y, CoG_z]} is the ``centre of gravity''
+ of the photon distribution, i.e. the average over all photon
+ positions.
+ \item \var{r_{max}^2} is the square of the average distance of the
+ photons to the CoG. This is used as an estimate for initial photon
+ lookup radius.
+ \item \var{c} is the photon velocity (i.e. simulated speed of light)
+ in (scene units) / sec.\footnote{%
+ Applies to transient photon maps only
+ \label{note:getinfoTrans}
+ }
+ \item \var{[t_{min}, t_{max}]} is the time spanning the photon
+ propagation, in seconds, from photon emission to the last
+ absorbtion.\footnoteref{note:getinfoTrans}
+ \item \var{\bar{s}} is the average cumulative distance travelled by a
+ photon, in scene units. This can be useful for setting
+ \cmd{mkpmap}'s \opt{-ld} option if photon paths should be
+ limited.\footnoteref{note:getinfoTrans}
+ \item \textit{Photon Map contains precomputed [linear|logarithmic]
+ [contributions|coefficients]} reflects the status of the
+ \opt{-V} option passed to \cmd{mkpmap}, and whether the
+ binned contributions/coefficients were encoded linearly
+ (as-is) or logarithmically; the latter is a compile-time option
+ and cannot be overridden by the user at runtime.
+ \item \var{scDim = \sqrt{nbins}} is the number of bins per dimension
+ mapped to the Shirley-Chiu square.
+ \item \var{m_d,\ m_{d,0}} is the number of wavelet detail coefficients
+ remaining after compression, and the original number before
+ compression, respectively.
+ \item \var{m_s,\ m_t} is the number of wavelet approximation
+ coefficients (which are never compressed), and the total size of
+ the (partially populated) wavelet coefficient matrix, respectively.
+ \item \var{comp = 100 (1 - n_d / n_{d,0})} is the compression ratio
+ of wavelet detail coefficients, in percent.
+ \item \var{[mant_r, mant_g, mant_b],\ exp,\ idx} is the number of bits
+ used to encode the RGB mantissa, exponent, and incremental index
+ of wavelet coefficients on disk, within a 32-bit envelope. This
+ configuration is a compile-time option and cannot be overridden
+ by the user at runtime.
+ \item \var{fmt} identifies the photon map type, which is one of
+ \begin{itemize}
+ \item \lit{Radiance\_Global\_Photon\_Map},
+ \item \lit{Radiance\_PreComp\_Photon\_Map},
+ \item \lit{Radiance\_Caustic\_Photon\_Map},
+ \item \lit{Radiance\_Volume\_Photon\_Map},
+ \item \lit{Radiance\_Direct\_Photon\_Map},
+ \item \lit{Radiance\_Contrib\_Photon\_Map},
+ \item \lit{Radiance\_Contrib\_Child\_Photon\_Map}\\
+ (per-modifier contribution photon map contained in
+ \lit{Radiance\_Contrib\_Photon\_Map})
+ \item \lit{Radiance\_Transient\_Photon\_Map},
+ \item \lit{Radiance\_LightFlow\_Photon\_Map}, or
+ \item \lit{Radiance\_TransLightFlow\_Photon\_Map}.
+ \end{itemize}
+ \item \var{ver} is a file format version number to check build options
+ and output file compatibility.
+ \end{itemize}
+
+
+
+ \subsection{Visual Examination of Photon Maps with \cmd{pmapdump}}
+ \label{sec:pmapdump}
+
+ \subsubsection{Overview}
+
+ \cmd{Pmapdump} is a minimalist tool to visualise the photon
+ distribution in one or more photon map files. The utility can be used
+ for illustrative purposes to understand the photon map algorithm, but
+ more importantly, it can be used to debug scenes in which the
+ location of photons is unclear. Examples of \cmd{pmapdump} output can
+ be seen in \autoref{fig:cornell_distrib}~(right), \autoref{fig:roi},
+ \autoref{fig:lightFlowKaze}, \autoref{fig:pmapdump-sunpu} and
+ \autoref{fig:sunpu-cc}.
+
+ \cmd{Pmapdump} takes one or more photon map files generated with
+ \cmd{mkpmap} as input and, by default, sends a \radiance{} scene
+ description of their photon distributions to the standard output.
+ Photons are represented as spheres of material type \lit{glow}.
+ These can be visualised with e.g. \cmd{objview}, \cmd{rpict}, or
+ \cmd{rvu} to assess the location and local density of photons in
+ relation to the scene geometry. No additional light sources are
+ necessary, as the spheres representing the photons are self-luminous.
+
+ Alternatively, photons can also be output as an ASCII point list, where
+ each line contains a photon's position and colour.
+ This point list can be imported in a 3D point cloud processor/viewer
+ to interactively explore the photon map.
+
+ An arbitrary number of photon maps can be specified on the command
+ line and the respective photon type is determined automagically. Per
+ default, the different photon types are visualised as colour coded
+ spheres according to the following default schema:
+ \begin{description}
+ \item[\textcolor{blue}{Blue}:] global photon
+ \item[\textcolor{cyan}{Cyan}:] precomputed global photon
+ \item[\textcolor{red}{Red}:] caustic photon
+ \item[\textcolor{green}{Green}:] volume / lightflow photon
+ \item[\textcolor{magenta}{Magenta}:] direct photon
+ \item[\contour{black}{\textcolor{yellow}{Yellow}}:] contribution photon
+ \item[\contour{black}{\textcolor{white}{White}}:] transient photon
+ \end{description}
+ These colours can be overridden for individual photon maps with the
+ \opt{-c} option (see below). Alternatively, photons can be individually
+ coloured according to their actual RGB flux with the \opt{-f} option
+ (see below); while this makes it difficult to discern photon types, it
+ can be used to quantitatively analyse colour bleeding effects, for example.
+
+ \begin{figure}[tb]
+ \centering
+ \fbox{%
+ \begin{minipage}{0.95\linewidth}
+ \includegraphics[width=\linewidth]{sunpu-vpm-clip}
+ \parbox{\linewidth}{%
+ \caption{%
+ \label{fig:pmapdump-sunpu}
+ Cutaway view of volume photons entering a modernist church
+ through skylights, rendered with default \cmd{pmapdump}
+ output (yellow spheres) merged with the original scene
+ geometry. Model courtesy of Prof. Nozomu Yoshizawa, Tokyo
+ University of Science.
+ }
+ }
+ \end{minipage}
+ }
+ \end{figure}
+
+
+ \subsubsection{Options}
+
+ \noindent The synopsis for \cmd{pmapdump} is as follows:
+ \begin{center}
+ \begin{minipage}{\linewidth}
+ \begin{lstlisting}
+pmapdump [-a [-N] [-A]] [-n $num_1$] [-r $radscale_1$] \
+ [-f [-O $norm_1$]] | [-c $rcol_1$, $gcol_1$, $bcol_1$] $pmap_1$ \
+ [-a [-N] [-A]] [-n $num_2$] [-r $radscale_2$] \
+ [-f [-O $norm_2$]] | [-c $rcol_2$, $gcol_2$, $bcol_2$] $pmap_2$ $\ldots$
+ \end{lstlisting}
+ \end{minipage}
+ \end{center}
+ Options are effective for the photon map file immediately following
+ on the command line, and are reset to their defaults after completion
+ of each dump. As such they must be set individually for each photon
+ map. \cmd{Pmapdump} takes the following options:
+ \begin{description}
+ \item{\opt{-a}[\lit{+}$|$\lit{-}]}\\
+ Boolean switch to output photons as a point list in ASCII (text)
+ format instead of a \radiance{} scene. Each output line consists
+ of 6 tab-separated floating point values: the X, Y, Z coordinates
+ of the photon's position, and the R, G, B colour channels of its
+ flux. These values. notably the flux, are expressed in scientific
+ notation if necessary to accommodate their high dynamic range.
+
+ As \cmd{pmapdump} groups its options per photon map, this option
+ must be specified per photon map for consistent output. This
+ prevents erroneously dumping \radiance{} scene descriptions along
+ with point lists, which will fail to load in the 3D point cloud
+ processor/viewer.
+
+ \item{\opt{-A}[\lit{+}$|$\lit{-}]}\\
+ Boolean switch to also output type-specific auxiliary data embedded
+ in each photon in conjunction with option \opt{-a}.
+ For most photon types this is the unique path ID.
+ Path IDs consist of a numeric prefix \lit{N} and suffix \lit{M},
+ and are formatted as \lit{N:M}.
+
+ \item{\opt{-c} \var{rcol} \var{gcol} \var{bcol}}\\
+ Specifies a custom sphere/point colour for the next photon map. The
+ colour is specified as an RGB triplet, with each component in the
+ range (0..1]. Without this option, the default colour for the
+ corresponding photon type is used. This option is mutually
+ exclusive with \opt{-f}.
+
+ \item{\opt{-f}[\lit{+}$|$\lit{-}]}\\
+ Boolean switch to colour each sphere/point according to the
+ corresponding photon's RGB flux instead of a constant colour.
+ The flux is adjusted for the fraction of dumped photons to
+ maintain the total flux contained in the dumped photon map.
+ Note that no exposure is applied, and as such resulting colours
+ can span several orders of magnitude and may require tone mapping
+ with \cmd{pcond} or normalisation with option \opt{-O} (see below)
+ for visualisation. This option is mutually exclusive with \opt{-c}.
+
+ \item{\opt{-n} \var{num}}\\
+ Specifies the number of spheres or points to dump for the next
+ photon map. The dump is performed by random sampling with
+ \var{num} as target count, hence the number actually
+ output will be approximate. \var{Num} may be suffixed by
+ a case-insensitive multiplier for convenience, where \var{k = 10^3}
+ and \var{m = 10^6}, although the latter may lead to problems when
+ processing the output geometry with \cmd{oconv}.
+ The default number is 10k.
+
+ \item{\opt{-N}[\lit{+}$|$\lit{-}]}\\
+ Boolean switch to also output photon normals in conjunction with
+ option \opt{-a}. In case of a volume photon map, this option will
+ output the photon's direction.
+
+ \item{\opt{-O} \var{norm}}\footnote{%
+ Sorry, we ran outta sensible option names here...
+ }\\
+ Normalise photon flux to the given value. This limits the
+ maximum flux in any colour channel to \var{norm}, which is useful
+ for postprocessing and visualising the photon flux within a
+ predetermined range. This option is only valid in conjuction with
+ the \opt{-f} option.
+
+ \item{\opt{-P}[\lit{+}$|$\lit{-}]}\\
+ Boolean option to output photon path IDs in text format.
+ This option is equivalent to \opt{-A} and kept for backwards
+ compatibility only.
+
+ \item{\opt{-r} \var{radscale}}\\
+ Specifies a relative scale factor \var{radscale} for the sphere
+ radius. The sphere radius is determined automatically from an
+ estimated average distance between spheres so as to reduce
+ clustering, assuming a uniform distribution. In cases where
+ the distribution is substantially nonuniform (e.g. highly
+ localised caustics) the radius can be manually corrected with
+ this option. The default value is 1.0. This option is ignored
+ for point list output in conjuction with~\opt{-a}.
+ \end{description}
+
+
+ \subsubsection{Notes}
+
+ Note that the \radiance{} scene output may contain many overlapping
+ spheres in areas with high photon density, particularly in caustics.
+ This results in inefficient and slow octree generation with \cmd{oconv}.
+ Generally this can be improved by reducing \var{num} and/or
+ \var{radscale}.
+
+
+ \subsubsection{Examples}
+
+ The following example visualises the distribution of global
+ and caustic photons superimposed on the scene geometry with 5000 pale red
+ and 10000 pale blue spheres, respectively:
+ \begin{center}
+ \begin{minipage}{0.95\linewidth}
+ \begin{lstlisting}
+pmapdump -n 5k -c 1 0.4 0.4 global.pm \
+ -n 10k -c 0.4 0.4 1 caustic.pm | \
+oconv - scene.rad > scene_pm.oct
+
+rvu scene_pm.oct
+ \end{lstlisting}
+ \end{minipage}
+ \end{center}
+ Note the use of a pipe to directly create \lit{scene\_pmdump.oct}
+ from the \cmd{pmapdump} output.
+
+ In contrast, this example visualises the caustic photon distribution
+ superimposed on the scene geometry with 10000 spheres coloured according
+ to the photons' respective RGB flux:
+ \begin{center}
+ \begin{minipage}{0.95\linewidth}
+ \begin{lstlisting}
+pmapdump -n 10k -f caustic.pm | \
+oconv - scene.rad > scene_pm.oct
+ \end{lstlisting}
+ \end{minipage}
+ \end{center}
+ \radiance{} scene dumps may also be viewed on their own by simply piping
+ the output of \cmd{pmapdump} directly into \cmd{objview} (using the
+ default number of spheres in this example):
+ \begin{center}
+ \begin{minipage}{0.95\linewidth}
+ \begin{lstlisting}
+pmapdump zombo.pm | objview
+ \end{lstlisting}
+ \end{minipage}
+ \end{center}
+ Instead of a \radiance{} scene, the following example dumps photons as
+ a (really long) point list to an ASCII file for import into a 3D point
+ cloud processor/viewer, as shown in \autoref{fig:sunpu-cc}.
+ \begin{center}
+ \begin{minipage}{0.95\linewidth}
+ \begin{lstlisting}
+pmapdump -a -f -n 100k lotsa.pm > lotsa_pointz.xyz
+ \end{lstlisting}
+ \end{minipage}
+ \end{center}
+
+ \begin{figure}[h]
+ \centering
+ \fbox{%
+ \begin{minipage}{0.95\linewidth}
+ \includegraphics[width=\linewidth]{sunpu-vpm}\\
+ \parbox{\linewidth}{%
+ \caption{%
+ \label{fig:sunpu-cc}
+ ASCII point list imported into an interactive point cloud
+ processor/viewer (in this case \cmd{ccViewer}, part of the
+ excellent open-source \lit{CloudCompare} toolsuite
+ \cite{CC2020}).
+ The point list was exported by \cmd{pmapdump} with the
+ \opt{-a} option from the volume map rendered in
+ \autoref{fig:pmapdump-sunpu}.
+ }
+ }
+ \end{minipage}
+ }
+ \end{figure}
+
+
+
+ \clearpage
+ \section{Acknowledgements}
+
+ The following institutions contributed to the development of the \radiance{}
+ photon map extension:
+ \begin{description}
+ \item[Fraunhofer Institute for Solar Energy Systems (ISE)] supported by
+ the German Research Foundation (DFG LU204/10-2:
+ \textit{Fassadenintegrierte Regelsysteme} (FARESYS)),
+ \item[Lucerne University of Applied Sciences and Arts (HSLU)]
+ supported by the Swiss National Science Foundation (SNSF 147053:
+ \textit{Simulation based assessment of daylight redirecting
+ components for energy savings in office buildings
+ },
+ SNSF 179067: \textit{Lightfields for spatio-temporal glare
+ assessment
+ }),
+ \item[Tokyo University of Science] supported by the JSPS Grants-in-Aid
+ for Scientific Research Programme (KAKENHI JP19KK0115: \textit{%
+ A new expression of three‐dimensional light flow in architectural
+ spaces and its visual interpretation in the context of
+ human‐centric lighting design
+ }).
+ \end{description}
+ The Developer(s) would also like to thank the following individuals for
+ their invaluable contributions:
+ \begin{description}
+ \item[Greg Ward] for his support in integrating the code, and his
+ tireless efforts in keeping \radiance{} and its community alive,
+ \item[Dr. Peter Apian-Bennewitz, Dr. Karsten Voss and Dr.
+ Volker Wittwer] for initiating and supervising development of
+ the first release of the \radiance{} photon map extension at
+ Fraunhofer ISE as part of the DFG-funded \textit{FARESYS} project.
+ \item[Prof. Stephen Wittkopf and Dr. Lars Grobe] for continuing
+ development of the photon map (notably out-of-core and
+ contributions) within the scope of the SNSF-funded
+ projects \textit{Daylight Redirecting Components (DRC)} and
+ \textit{Lightfields for Glare Assessment (LFG)}.
+ \item[Prof. Nozomu Yoshizawa] and his team for initiating the
+ KAKEN-funded project \textit{Three-dimensional light flow} at
+ the Tokyo University of Science, for supporting the development
+ of the lightflow photon map, and applying it in their experiments,
+ \item[Rob Gugliemetti] for his huge help in getting this thing compiled
+ under W33nd0z and providing nightly builds for that platform,
+ 'cos The Developer(s)$^{TM}$ doan' do W33ndoz,
+ \item[Carsten Bauer (Capt.~B) and Dr. David Geisler-Moroder]
+ for testing the tool with \realLife\ scenes, reporting bugs and
+ providing valuable feedback.
+ \end{description}
+ Finally, a big thanks to \textit{anyone} out there nuts enough to try the
+ extension out!
+
+
+
+ \clearpage
+ \begin{thebibliography}{99}
+ \bibitem[Bent1975]{Bent1975}
+ Jon Louis Bentley: ``Multidimensional Binary Search Trees
+ Used for Associative Searching''. \textit{CACM} 18(9), 1975.
+
+ \bibitem[CC2020]{CC2020}
+ CloudCompare 3D point cloud and mesh processing software
+ open source project, 2020. Available at
+ \href{http://www.cloudcompare.org}{http://www.cloudcompare.org}.
+
+ \bibitem[Chri2000]{Chri2000}
+ Per Christensen: ``Faster Photon Map Global Illumination''.
+ \textit{Journal of Graphics Tools} 4(3), April~2000.
+
+ \bibitem[Cutt2014]{Cutt2014}
+ Christopher Cuttle: ``Research Note: A practical approach to cubic
+ illuminance measurement''.
+ \textit{Lighting Research \& Technology}, 2014; 46(1): 31--34.
+ DOI: 10.1177/1477153513498251
+
+ \bibitem[Jara2014]{Jara2014}
+ Adrian Jarabo, Julio Marco, Adolfo Mu\~{n}oz, Raul Buisan,
+ Wojciech Jarosz, Diego Gutierrez:
+ ``A framework for transient rendering''.
+ \textit{ACM Transactions on Graphics}
+ (\textit{Proceedings of SIGGRAPH Asia}), 2014; 33(6).
+ DOI: 10/gfznb8. Available at:
+ \href{%
+ https://cs.dartmouth.edu/~wjarosz/publications/jarabo14framework.html
+ }{%
+ https://cs.dartmouth.edu/~wjarosz/publications/jarabo14framework.html
+ }
+
+ \bibitem[Jens1996]{Jens1996}
+ Henrik Wann Jensen: ``Global Illumination using Photon Maps''.
+ \textit{Rendering Techniques '96}, Eds. X.~Pueyo and P.~Schr\"oder,
+ Springer-Verlag, 1996.
+
+ \bibitem[Jens1997]{Jens1997}
+ Henrik Wann Jensen: ``Rendering Caustics on Non-Lambertian
+ Surfaces''. \textit{Computer Graphics Forum}, 16(1), March~1997.
+
+ \bibitem[Jens1998]{Jens1998}
+ Henrik Wann Jensen and Per H.~Christensen: ``Efficient
+ Simulation of Light Transport in Scenes with Participating
+ Media using Photon Maps''. \textit{Proceedings SIGGRAPH~'98},
+ July~1998.
+
+ \bibitem[Jens2000]{Jens2000}
+ Henrik Wann Jensen and Niels J{\o}rgen Christensen: ``A
+ Practical Guide to Global Illumination using Photon Maps''.
+ \textit{SIGGRAPH~2000 Course Notes~8}, July~2000.
+
+ \bibitem[Lath1968]{Lath1968}
+ K.D. Lathrop: ``Ray Effects in Discrete Ordinates Equations''.
+ \textit{Nuclear Science and Engineering}, 1968; 32(3): 357--369.
+ DOI: 10.13182/NSE68-4
+
+ \bibitem[Schr2003]{Schr2003}
+ Roland Schregle: ``Bias Compensation for Photon Maps''.
+ \textit{Computer Graphics Forum} 22(4), December~2003.
+
+ \bibitem[Schr2015]{Schr2015}
+ Roland Schregle, Carsten Bauer, Lars O. Grobe and Stephen Wittkopf:
+ ``EvalDRC: A tool for annual characterisation of daylight
+ redirecting components with photon mapping''.
+ \textit{Proceedings CISBAT 2015}, Lausanne, Switzerland.
+
+ \bibitem[Schr2016]{Schr2016}
+ Roland Schregle, Lars O. Grobe and Stephen Wittkopf:
+ ``An Out-of-Core Photon Mapping Approach to Daylight Coefficients''.
+ \textit{Journal of Building Performance Simulation}, 9(6), 2016.
+
+ \bibitem[Schr2019]{Schr2019}
+ Roland Schregle, Nozomu Yoshizawa, Toshihide Okamoto, Ken Komazawa:
+ ``An Ongoing Visual Assessment of Three-dimensional Light Flow
+ Expressed Through Volume Photon Mapping''.
+ Presented at the \textit{18th International RADIANCE Workshop},
+ New York City, August~2019.\\
+ Available at:
+ \href{%
+ https://www.radiance-online.org/community/workshops/2019-new-york-ny/presentations/day3/23\_Schregle-Yoshizawa.pdf
+ }{%
+ https://www.radiance-online.org/community/workshops/2019-new-york-ny/presentations/day3/23\_Schregle-Yoshizawa.pdf
+ }.
+
+ \bibitem[Schr2021a]{Schr2021a}
+ Roland Schregle, Nozomu Yoshizawa, Ken Komazawa and Kaira Otori:
+ ``A Case Study of Three-Dimensional Light Flow Expressed Through
+ Volume Photon Mapping''. Presented at the \textit{19th International
+ Radiance Workshop}, Bilbao, August~2021.\\
+ Available at:
+ \href{%
+ https://www.radiance-online.org/community/workshops/2021-bilbao-spain-2/presentations/19\_thursday/Radiance2021-3DLightFlowVPMCaseStudy-6.pdf
+ }{%
+ https://www.radiance-online.org/community/workshops/2021-bilbao-spain-2/presentations/19\_thursday/Radiance2021-3DLightFlowVPMCaseStudy-6.pdf
+ }.
+
+ \bibitem[Schr2021b]{Schr2021b}
+ Roland Schregle and Nozomu Yoshizawa:
+ ``Gone in 60 Nanoseconds: Adventures in Transient Rendering''
+ Presented at the \textit{19th International Radiance Workshop},
+ Bilbao, August~2021.\\
+ Available at:
+ \href{%
+ https://www.radiance-online.org/community/workshops/2021-bilbao-spain-2/presentations/20\_friday/Radiance2021-GoneIn60Nanosec-8.pdf
+ }{%
+ https://www.radiance-online.org/community/workshops/2021-bilbao-spain-2/presentations/20\_friday/Radiance2021-GoneIn60Nanosec-8.pdf
+ }.
+
+ \bibitem[Shir1997]{Shir1997}
+ Peter Shirley and Kenneth Chiu: ``A Low Distortion Map Between Disk
+ and Square''. \textit{Journal of Graphics Tools}, 2(3), 1997.
+
+ \bibitem[Ward1994]{Ward1994}
+ Gregory J.~Ward: ``The \radiance{} Lighting Simulation and
+ Rendering System''. \textit{Proceedings SIGGRAPH~'94}, July~1994.
+
+ \bibitem[Ward1998]{Ward1998}
+ Greg Ward Larson and Rob Shakespeare: \textit{Rendering with
+ \radiance}. Morgan Kaufmann, San Francisco, 1998.
+
+ \bibitem[Yosh2022]{Yosh2022}
+ Nozomu Yoshizawa, Roland Schregle, Ken Komazawa and
+ Kaira Otori: ``Photon Flow: A three-dimensional expression of
+ light flow using Volume Photon Mapping''.
+ TO APPEAR in \textit{Lighting Research \& Technology}.
+
+ \end{thebibliography}
+ % Manually add bibliography to table of contents
+ % (Why isn't this the default behaviour?!)
+ \addcontentsline{toc}{section}{References}
+
+
+
+ \clearpage
+ \appendix
+ \section*{Appendix}
+ \section{Sample Renderings}
+
+ \subsection{Caustics}
+
+ \begin{figure}[h!]
+ %\centering
+ \fbox{%
+ \begin{minipage}{0.98\linewidth}
+ \includegraphics[width=0.49\linewidth]
+ {prismella-xsection-hi-close3}%
+ \hfill
+ \includegraphics[width=0.49\linewidth]
+ {prismella-xsection-lo-close3}\\%
+ \parbox{\linewidth}{%
+ \caption{%
+ \label{fig:prismella}
+ Retroreflecting blinds patented by Helmut K\"oster, rendered
+ with \radiance{} photon map using 600k global and 6M caustic
+ photons with a bandwidth of 100 and 100--2000 (bias
+ compensated), respectively. At 40\degree{} incidence (left),
+ sunlight is retroreflected as evidenced by the caustics on
+ the wall, while skylight is scattered into the interior off
+ the diffuse lamellae undersides. At 20\degree{} incidence
+ (right), the inclination requires adjustment as sunlight is
+ now redirected towards the lamellae undersides rather than
+ being retroreflected.
+ }
+ }
+ \end{minipage}
+ }
+ \end{figure}
+
+ \begin{figure}[h!]
+ \centering
+ \fbox{%
+ \begin{minipage}{0.98\linewidth}
+ \includegraphics[angle=-90, width=\linewidth]
+ {litepipe-xsection-pmap}
+ \parbox{\linewidth}{%
+ \caption{%
+ \label{fig:litepipe-xsection}
+ Cross-sectional view of a lightpipe rendered with 500k global
+ and 1M caustic photons. The photons are emitted via ports
+ defined for the window, pipe aperture, and external heliostat
+ (not visible).
+ }
+ }
+ \end{minipage}
+ }
+ \end{figure}
+
+ \begin{figure}[t!]
+ \centering
+ \fbox{%
+ \begin{minipage}{0.98\linewidth}
+ \centering
+ \includegraphics[width=0.5\linewidth]{cornell-flood-50}\\[1mm]%
+ \includegraphics[width=0.5\linewidth]{cornell-flood-500}\\[1mm]%
+ \includegraphics[width=0.5\linewidth]{cornell-flood-50-500}\\%
+ \parbox{\linewidth}{%
+ \caption{%
+ \label{fig:cornell-flood}
+ Flooded Cornell box rendered with caustic photon map using
+ fixed bandwidths of 50 (top) and 500 (centre) photons, and
+ a dynamic bandwidth of \mbox{50--500} photons with bias
+ compensation (bottom).
+ }
+ }
+ \end{minipage}
+ }
+ \end{figure}
+
+
+
+
+ \clearpage
+ \subsection{Volume Caustics}
+
+ \begin{figure}[!htb]
+ \centering
+ \fbox{%
+ \begin{minipage}{\linewidth}
+ \centering
+ \includegraphics[width=0.49\linewidth]{cpc-xsection1}%
+ \hfill
+ \includegraphics[width=0.49\linewidth]{cpc-xsection2}\\%
+ \parbox{\linewidth}{%
+ \caption{%
+ \label{fig:cpc-xsection}
+ Compound parabolic concentrator with opaque apertures
+ rendered with volume photon map in a \lit{mist} environment.
+ At normal incidence (left), the incident beam is
+ retroreflected, whereas at 50\degree{} incidence (right) it
+ is transmitted and redirected in a characteristic fan-out.
+ }
+ }
+ \end{minipage}
+ }
+ \end{figure}
+
+ \begin{figure}[!htb]
+ \centering
+ \fbox{%
+ \begin{minipage}{\linewidth}
+ \centering
+ \includegraphics[width=0.55\linewidth]{cornell-volume}\\%
+ \parbox{\linewidth}{%
+ \caption{%
+ \label{fig:cornell-volume}
+ Funky volume caustics in a \lit{mist} environment from
+ refracted volume photons as they pass through a
+ \lit{dielectric} sphere. Note the blue cast imposed on the
+ refracted photons.
+ }
+ }
+ \end{minipage}
+ }
+ \end{figure}
+
+
+
+ \clearpage
+ \section{Parameter Ranges}
+
+ The following table lists typical ranges for various parameters used with
+ \cmd{mkpmap} and \cmd{rpict}. It is primarily aimed at novices, who are no
+ doubt bewildered by the plethora of options. The ranges are recommendations
+ based on the developer's experience, and should not be interpreted as fixed
+ constraints. In some situations it is not unlikely to use settings far
+ beyond the typical range.
+ %\todo{Revise table, some of these are too conservative!}
+
+ \begin{table}[!h]
+ \centering
+ \begin{tabular}{|l|p{0.6\linewidth}|}
+ \hline
+ \cmd{mkpmap} parameter & Typical range \\
+ \hline
+ \hline
+ \var{nphotons} & 100k--100M
+ (100k--1G with out-of-core option)\\
+ \opt{-apD} & 0.1--1.0 \\
+ \opt{-apm} & 1000--5000 \\
+ \opt{-apP} & 0.25--0.5 \\
+ \opt{-dp} & 1000--100000 \\
+ \opt{-ds} & 0.0001--0.01 \\
+ \hline
+ \hline
+ \cmd{rpict} parameter & Typical range \\
+ \hline
+ \hline
+ \var{bwidth_1} & 50--100 (50--1000 with out-of-core option)\\
+ \var{bwidth_2} & 200--500 (200--5000 with out-of-core option)\\
+ \opt{-ab} & \mbox{1 (default via ambient bounce)},
+ \mbox{-1 (quick\&dirty direct visualisation)}\\
+ \opt{-ac} & 4.0--16.0 \\
+ \opt{-am} & 100-1000 \\
+ \hline
+ \end{tabular}
+ \end{table}
+
+
+
+ \clearpage
+ \section{Bugz and Weirdness}
+ \label{sec:bugz}
+
+ \begin{itemize}
+ \item The spotlight focal point is ignored by the photon map; it
+ coincides with the light source surface. This corresponds to
+ specifying a direction vector of infinitesimal length in
+ \radClassic.
+ \item \cmd{mkpmap}'s distribution algorithm can exceed the specified
+ number of photons with scenes having high reflectance or when
+ excessively high settings of \opt{-apD} are used.
+ \item Caustic photon irradiance will be biased when passing
+ \cmd{rtrace} points which do not lie on a surface, unless a
+ virtual receiver surface is defined with \lit{antimatter} and
+ specified with \cmd{mkpmap}'s \opt{-aps} or \opt{-apS}
+ option, as detailed in section \ref{sec:mkpmap}. This also
+ applies when directly visualising global photons with
+ \opt{-ab 1}. Technically this is not a bug, but a fundamental
+ constraint of the photon mapping algorithm itself.
+ \item Arbitrary polygonal light sources and photon ports are not
+ well supported. This is a limitation of RADIANCE's light source
+ sampling code, and \cmd{mkpmap} resorts to a crude rejection
+ sampling technique to improve on this. Because this hack (for
+ want of a better word) discards emitted photons to compensate
+ for bias, it currently has a nasty side effect of generating
+ fewer photons than specified. Triangular and quadrilateral
+ sources are well supported, however, and it is generally
+ recommended to triangulate polygonal geometry prior to importing
+ it into RADIANCE.
+ \end{itemize}
+
+
+
+ \clearpage
+ \section{\cmd{mkpmap} Troubleshooting}
+
+ \begin{table}[!h]
+ \centering
+ \begin{tabular}{|p{.3\linewidth}|p{.3\linewidth}|p{.3\linewidth}|}
+ \hline
+ {\bf Problem} & {\bf Cause} & {\bf Solution} \\
+ \hline
+ \hline
+ \cmd{mkpmap} stores too many photons &
+ Too many emitted photons in distribution prepass &
+ Reduce \opt{-apD} \\
+ \hline
+ Number of photons stored differs substantially from specification &
+ Too few photons emitted in distribution prepass; prediction for main
+ pass inaccurate &
+ Increase \opt{-apD} \\
+ \hline
+ \cmd{mkpmap} complains about runaway photons &
+ Photons stuck in infinite scattering loop, possibly pathological
+ geometry or materials &
+ Check geometry and materials; increase \opt{-apm} \\
+ \hline
+ \cmd{mkpmap} is slow with \lit{source} primitive &
+ \lit{source} emits from scene cube faces &
+ Define photon ports \\
+ \hline
+ \cmd{mkpmap} bogs down in light source flux integration &
+ Excessively high probability density function resolution; too many
+ source partitions &
+ Decrease \opt{-dp}; increase \opt{-ds} \\
+ \hline
+ \cmd{mkpmap} bails out after too many distribution prepasses &
+ photon ports oriented outward; using caustic photons with
+ non-specular geometry; using volume photons without \lit{mist};
+ pathological geometry or nonabsorbing materials;
+ light sources see no geometry; wrong lunar phase; bad horoscope,
+ etc. &
+ Check port normal(s) or reverse their orientation(s) with
+ \opt{-apo-}; check scene and specify compatible photon types \\
+ \hline
+ Excessive noise in photon irradiance &
+ Bandwidth too low &
+ Increase bandwidth \\
+ \hline
+ Excessive blurring in photon irradiance &
+ Bandwidth too high &
+ Decrease bandwidth or increase size of photon map \\
+ \hline
+ Excessive noise and blurring in different regions &
+ Bandwidth is fixed &
+ Apply bias compensation for dynamic bandwidth \\
+ \hline
+ \end{tabular}
+ \end{table}
+
+
+
+ \clearpage
+ \section{\cmd{rpict/rtrace} Troubleshooting}
+
+ \begin{table}[!h]
+ \centering
+ \begin{tabular}{|p{.3\linewidth}|p{.3\linewidth}|p{.3\linewidth}|}
+ \hline
+ {\bf Problem} & {\bf Cause} & {\bf Solution} \\
+ \hline
+ \hline
+ Severe irradiance falloff at polygon edges &
+ Boundary bias due to high bandwidth &
+ Reduce bandwidth or apply bias compensation \\
+ \hline
+ Splotchy ambient illumination from global photons &
+ Excessively noisy density estimates; too few ambient samples;
+ irradiance caching too inaccurate &
+ Check density estimate with \opt{-ab} -1, and increase
+ bandwidth if necessary; increase \opt{-ad} if illumination has
+ high variance or contains caustics; increase \opt{-ar} and/or
+ decrease \opt{-aa} \\
+ \hline
+ Direct photon irradiance from modified light source deviates
+ significantly &
+ Probability density function cannot adequately resolve emission
+ distribution; too few source partitions &
+ Increase \opt{-dp}; if distribution varies over surface, decrease
+ \opt{-ds} \\
+ \hline
+ Caustics are underestimated for measurement points passed to
+ \cmd{rtrace} which do not lie on scene geometry &
+ No photons in measurement plane; photons are retrieved from
+ distant co-planar objects, resulting in oversized radius &
+ Define virtual receiver surface with \lit{antimatter} material, and
+ specify its modifier with \cmd{mkpmap}'s \opt{-aps} or \opt{-apS}
+ option when building the photon map \\
+ \hline
+ \cmd{rpict/rtrace} complains about short photon lookups &
+ Maximum photon search radius too small &
+ Increase \opt{-am} \\
+ \hline
+ \cmd{mkpmap} generates fewer photons when using polygonal
+ sources/ports &
+ This is a side effect of rejection sampling used to emit
+ photons from arbitrary polygonal geometry.
+ See appendix \ref{sec:bugz} for details. &
+ Increase target photon count or triangulate your polygons \\
+ \hline
+ Everything is slow &
+ User expects too much &
+ Twiddle thumbs \\
+ \hline
+ \end{tabular}
+ \end{table}
+
+\end{document}
+
+@
+
+
+1.50
+log
+@Documented warning when overriding -V in rcontrib
+@
+text
+@d34 2
+a35 2
+\RCS $Revision: 1.49 $
+\RCS $Date: 2022/05/10 22:42:09 $
+d2180 1
+a2180 1
+ very angry...}.
+@
+
+
+1.49
+log
+@Wording change in rcontrib section
+@
+text
+@d34 2
+a35 2
+\RCS $Revision: 1.48 $
+\RCS $Date: 2022/05/10 22:18:38 $
+d2168 2
+a2169 1
+ will be automatically overriden in \cmd{rcontrib}.
+@
+
+
+1.48
+log
+@Documented option file passed to rcontrib for consistent binning params.
+@
+text
+@d34 2
+a35 2
+\RCS $Revision: 1.47 $
+\RCS $Date: 2022/05/05 23:42:45 $
+d2170 1
+a2170 1
+ The binning parameters passed to \cmd{rcontrib} must be consistent with
+d2188 4
+a2191 4
+ When using the option file, it is not necessary to specify the
+ modifiers with the \opt{-m} option, as these are already included.
+ The user may edit the option file to
+ set per-modifier output streams if necessary.
+@
+
+
+1.47
+log
+@Documented empty bin ratio warning.
+@
+text
+@d34 2
+a35 2
+\RCS $Revision: 1.46 $
+\RCS $Date: 2022/04/11 18:23:02 $
+d968 4
+d1462 1
+a1462 1
+ if available \footnoteref{note:contrib} \footnoteref{note:transient}
+d1512 4
+a1515 4
+ for a grid of sensor positions in \cmd{rcontrib} (note that the latter
+ still requires a dummy binning "function" to be defined on the command
+ line, though it is never evaluated, since overridden by the pre-binned
+ photon contributions; see section \ref{sec:rcontribPmap} for details):
+d1519 2
+a1520 1
+mkpmap -apC bonzo-contrib.Cpm 10m 2600 0.75 -apP 0.1 -bn 256 -m bonzoLite -V+ bonzo.oct
+d1522 2
+a1523 2
+rcontrib -ap bonzo-contrib.Cpm -o \%s.dat -e dummy=0 -b dummy \
+ -bn 256 -m bonzoLite -ab 1 bonzo.oct < sensors.pos
+d2166 26
+a2191 21
+
+ However, because the contributions are already precomputed, the binning
+ parameters passed to \cmd{rcontrib} must agree with those in the photon
+ map, which is the user's responsibility. Due to the way \cmd{rcontrib}
+ allocates its bins and output streams, the binning parameters are not
+ automatically overriden in photon mapping mode\footnote{Yeah, this
+ \emph{is} ugly and will hopefully change in a future release... once
+ we figure out how, without breaking something!
+ }
+ Consequently, the number of bins originally passed to \cmd{mkpmap}
+ must still be specified with the \opt{-bn} option. \cmd{rcontrib}
+ will report an error indicating the expected bin count if it doesn't
+ match the command line (or is omitted, defaulting to~1).
+
+ Furthermore, \cmd{rcontrib} still requires a dummy binning function,
+ specified with the \opt{-b} option, which can be defined with the
+ \opt{-e} option. In photon mapping mode however, this function is never
+ actually evaluated, since it is overridden by the pre-binned
+ contributions from the photons. The boolean coefficient/contribution
+ option \cmd{-V}, on the other hand, is automatically overriden by the
+ photon map, and need not be specified.
+d2206 2
+a2207 2
+rcontrib -ap bonzo.Cpm -o %s-contrib.dat -e dummy=0 -b dummy \
+ -bn 256 -m bonzoLite bonzo.oct < sensors.pos
+d2216 3
+a2218 4
+ Note the definition of a dummy binning function and the bin number
+ \opt{-bn} in the \cmd{rcontrib} command; the binning function must be
+ present on the command line, but is not evaluated, and the bin count
+ must agree with that of the photon map.
+d2236 1
+a2236 1
+ \label{fig:koester-luxtherm-half}
+d2844 6
+a2849 2
+ for this purpose, \cmd{transpmap.py}, is available\footnote{Where?} to
+ facilitate the generation of videos for given timespans and time
+@
+
+
+1.46
+log
+@Revised to reflect non-overriding of binning parameters to rcontrib
+in pmap mode after it was clear this had disastrous sideeffects and
+corrupted output streams.
+Currently the user must specify -bn *and* a dummy binning function
+with -b/-e just so the cmdline is parsed, tho it's never evaluated.
+Hopefully we'll come up with something better.
+@
+text
+@d34 2
+a35 2
+\RCS $Revision: 1.45 $
+\RCS $Date: 2022/03/18 18:35:08 $
+d946 6
+a951 3
+ below), and output to file \var{pmapfile}. Each precomputed photon
+ accumulates contributions from the \var{precompbwidth} nearest
+ photons into bins (specified with the \opt{-bn} option, see below).
+d953 9
+a961 4
+ is issued, since some bins will be zero. Ideally,
+ \var{precompbwidth} should be a multiple of the number of bins.
+ Only light sources may contribute, and are specified via their
+ modifier(s) with the \opt{-m} option (see below).
+d3466 1
+a3466 1
+
+d3471 1
+a3471 1
+
+d3484 1
+a3484 1
+
+@
+
+
+1.45
+log
+@Clarified examples for precomp contrib pmap, and that -bn is now overridden
+in rcontrib
+@
+text
+@d34 2
+a35 2
+\RCS $Revision: 1.44 $
+\RCS $Date: 2022/03/17 20:13:18 $
+d1496 1
+a1496 1
+ Generate 10 million contribution photons from all light source with
+d1500 4
+a1503 2
+ for a grid of sensor positions in \cmd{rcontrib} (note the absence of
+ option \opt{-bn}, which is overridden by the photon map):
+d1509 2
+a1510 2
+rcontrib -I -h -ap bonzo-contrib.Cpm -o \%s.dat -m bonzoLite -ab -1 \
+ bonzo.oct < sensors.pos
+d1942 1
+a1942 1
+ Similarly, ray coefficients are supported by \cmd{mkpmap} via the
+d2144 30
+d2178 1
+d2188 2
+a2189 2
+rcontrib -I -h -ap bonzo.Cpm -o %s-contrib.dat -m bonzoLite -ab -1 \
+ bonzo.oct < sensors.pos
+d2198 4
+a2201 3
+ Note the absence of the binning option \opt{-bn}
+ to \cmd{rcontrib}; this parameter is overridden by the photon map and
+ need not be specified again.
+@
+
+
+1.44
+log
+@Major revisions, added documentation for precomputed contribution pmap,
+lightflow pmap, and transient pmap.
+@
+text
+@d34 2
+a35 2
+\RCS $Revision: 1.43 $
+\RCS $Date: 2021/09/05 21:33:28 $
+d1496 6
+a1501 3
+ Generate 10 million photons from light source \lit{bonzoLite}, and
+ precompute 1 million of these by accumulating the contributions from the
+ 2600 nearest photons into 256 bins, compressing them by 75\%:
+d1506 3
+a2148 1
+
+d2155 1
+a2155 1
+rcontrib -I -h -ap bonzo.Cpm -o \%s.dat -m bonzoLite -ab -1 \
+d2160 8
+a2167 5
+ where \var{sourcemodfile} is a file containing the list of light source
+ modifiers to bin, and \var{sensorfile} is a file containing a list of
+ sensor positions as input for the irradiance calculation. The contributions
+ are output to separate files \lit{$*$-contrib.dat} prefixed by each
+ light source modifier.
+@
+
+
+1.43
+log
+@Revised polyhedral ROI stuff to only refer to polygonal geometry.
+@
+text
+@d2 3
+a4 1
+\usepackage{color,graphicx,pslatex,rcs,gensymb,footmisc,listings,todonotes}
+d7 2
+d19 2
+d26 1
+a26 2
+ xleftmargin=5pt, xrightmargin=5pt,
+ %aboveskip=20pt, belowskip=20pt,
+d28 2
+a29 1
+ breaklines, breakatwhitespace, showstringspaces=false}
+d31 2
+d34 2
+a35 2
+\RCS $Revision: 1.42 $
+\RCS $Date: 2021/09/03 22:30:05 $
+d52 1
+a52 1
+
+d56 3
+a58 3
+ Development of the \radiance{} photon map continues within a new project
+ hosted by the Tokyo University of Science under the guidance of
+ Prof. Nozomu Yoshizawa. The following features have been added:
+d60 9
+d856 1
+d862 1
+a862 1
+mkpmap -apg|-apc|-apv|-apd|-app|-apC \
+d896 1
+a896 1
+
+d912 1
+a912 25
+
+ \item{\opt{-apC} \var{pmapfile} \var{nphotons}}\\
+ Generate a light source contribution photon map
+ containing approximately \var{nphotons} photons, and output to
+ \var{pmapfile}. This may then be used by \cmd{rcontrib} to compute
+ light source contributions. When used with \cmd{rpict},
+ contribution photon maps behave as regular global photon maps
+ and yield cumulative contributions from all light sources.
+
+ With this option, \cmd{mkpmap}
+ uses a modified photon distribution algorithm that ensures all
+ light sources contribute approximately the same number of
+ photons. Each photon indexes a primary hitpoint, incident
+ direction, and emitting light source which can be used to bin
+ contributions per light source and direction.
+
+ Note \cmd{mkpmap}
+ cannot generate a contribution photon map in combination with
+ others in a single run, as it uses a different distribution
+ algorithm. Other photon maps specified on the command line
+ will be ignored.
+
+ See section \ref{sec:lsContribs} for details
+ on using photon maps with \cmd{rcontrib}.
+
+d914 3
+a916 3
+ Generate a precomputed global photon map containing a
+ fraction of \var{nphotons} photons (specified with the
+ \opt{-apP} option, see below), and output to \var{pmapfile}.
+d931 146
+d1113 2
+a1114 3
+ \item{%
+ \opt{-api} \var{min_x} \var{min_y} \var{min_z}
+ \var{max_x} \var{max_y} \var{max_z}
+d1128 1
+a1128 3
+ \item{%
+ \opt{-apI} \var{pos_x} \var{pos_y} \var{pos_z} \var{rad}
+ }\\
+d1201 5
+a1205 5
+ \var{nphotons} global photons to precompute in the range
+ $]0,1]$ when using the \opt{-app} option. The remaining photons
+ are discarded.
+ See section \ref{sec:precomp} for details on using precomputed
+ global photons.
+d1272 29
+d1324 6
+a1329 1
+ \item{\opt{-e} \var{diagfile}}\\
+d1343 1
+a1343 1
+ limit.
+d1358 14
+d1387 11
+a1397 1
+ \item{\opt{-n} \var{nproc}}\\
+a1400 7
+ This option is currently not available on M\$ Wind0z
+ platforms.\footnote{Wind0z doesn't support \radiance's (admittedly
+ legacy) UNIX-style \lit{fork()} parallel programming paradigm. The
+ photon map extension grudgingly conforms to this convention,
+ although POSIX threads are now clearly the preferred, portable
+ approach.}\\
+ {\scriptsize So there. Tuff luck.}
+d1402 22
+d1427 19
+d1449 10
+a1458 5
+ or \opt{-app} options must be specified. These can be combined
+ subject to compatibility with the materials used in the scene. The
+ \opt{-apC} option, in contrast, uses a different distribution
+ algorithm and cannot be combined with the aforementioned; these will
+ simply be ignored when generating a contribution photon map.
+d1473 2
+a1474 1
+ \end{center}
+d1483 2
+a1484 1
+ \end{center}
+d1494 27
+a1520 3
+ \end{center}
+ Generate a contribution photon map containing 10 million photons to
+ bin light source contributions with \cmd{rcontrib}:
+d1524 2
+a1525 1
+mkpmap -apC bonzo-contrib.gpm 10m bonzo.oct
+d1528 1
+a1528 2
+ \end{center}
+
+d1581 1
+a1581 1
+ \label{fig:visualisation}
+d1616 1
+d1623 1
+a1623 1
+ \end{center}
+d1645 1
+d1659 1
+d1697 3
+a1699 1
+ \item{\opt{-ap} \var{pmapfile} \var{[bwidth_1} \var{[bwidth_2]]}}\\
+d1723 1
+a1723 1
+
+d1727 14
+d1755 4
+a1758 4
+ specified with the \opt{-ap} option; the number of photons found will
+ not exceed the latter, but may be lower if the maximum search
+ radius contains fewer photons, thus resulting in short
+ lookups. Setting this radius too large, on the other hand,
+d1764 11
+a1774 5
+ \item{\opt{-ac} \var{pagesize}} \footnote{These options are only
+ available with out-of-core photon mapping. Check if they appear
+ in the output of \cmd{rpict} \opt{-help} to verify that your
+ software build supports out-of-core photon
+ mapping, as this is a compile-time option.\label{cacheNote}}\\
+d1787 1
+a1787 1
+ \item{\opt{-aC} \var{cachesize}} \footref{cacheNote}\\
+d1801 9
+d1817 1
+d1825 19
+a1843 2
+ \end{center}
+
+d1847 4
+a1850 1
+ \section{Photon Mapping with Light Source Contributions}
+d1853 1
+a1853 1
+ The \radiance{} photon map has been adapted to facilitate the
+d1855 2
+a1856 1
+ climate-based daylight simulation \cite{Schr2015}. In this workflow,
+d1858 84
+a1941 9
+ representing different time-dependent positions (e.g. solar
+ elevations depending on season and time of day) of one source, which
+ are handled as aggregate for efficient simulation. The \cmd{rcontrib}
+ tool supplied with \radiance{} can then determine the irradiance for
+ each light source for a given sensor position in the scene, thus
+ efficiently accounting for each source's contribution. In practice,
+ this is done by ``binning'' the resulting irradiance into separate
+ output files for each light source. See the \cmd{rcontrib} man page
+ for details.
+d1948 1
+a1948 2
+ accordingly, which can raise the variance of the resulting density
+ estimates.
+d1950 59
+a2008 9
+ The generated photon map contains a list of primary hitpoints,
+ incident directions, and emitting light sources, which are indexed by
+ each photon which is spawned along the primary ray's path. This
+ information is used to identify the emitting light source for each
+ photon map, as well as apply an additional binning function to the
+ incident direction via the \opt{-b} option as documented in the
+ \cmd{rcontrib} man page, e.g. to identify contributions from
+ individual sky patches. An example of binned photon contributions is
+ shown in \autoref{fig:tregContribs} for patches from a Tregenza sky.
+d2010 1
+a2010 1
+ \begin{figure}[tb]
+d2013 61
+a2073 2
+ \begin{minipage}{0.9\linewidth}
+ \includegraphics[width=\linewidth]{srcbin-skyglow-tregenza}
+d2076 12
+a2087 5
+ \label{fig:tregContribs}
+ Comparison of photon contributions from 145 Tregenza sky
+ patches (blue) to the indirect irradiance obtained with
+ \radClassic{} (red) on an interior ceiling sensor via a
+ window facing south.
+d2092 1
+a2092 1
+ \end{figure}
+d2094 46
+a2139 8
+ Unlike \cmd{rcontrib}, the photon map only supports contributions
+ from light sources, not arbitrary modifiers. Ray coefficients are
+ supported via the \opt{-V-} option, which amounts to normalising the
+ emission of each light source for {\it a posteriori\/} scaling without
+ rebuilding the photon map. Using fewer photons than there are light
+ sources for photon density estimates results in omitted
+ contributions, thus \cmd{rcontrib} clamps the bandwidth accordingly
+ and issues a warning.
+d2143 1
+d2147 2
+a2148 1
+mkpmap -apC $contribpmap$ $nphotons$ $octree$
+d2150 2
+a2151 2
+rcontrib -ap $causticpmap$ $bwidth$ -I -h -V -fo \
+ -o %s-contrib.dat -M $sourcemodfile$ $octree$ < $sensorfile$
+d2154 1
+a2154 1
+ \end{center}
+d2190 747
+d2942 1
+d2945 5
+a2949 2
+ the information about a photon map from the header of the
+ corresponding file. The output has the following format:
+d2955 20
+a2974 3
+$N_p$ photons @@ [$\phi_r$, $\phi_g$, $\phi_b$] avg watts
+FORMAT=$fmt$
+VERSION=$ver$
+d2977 2
+a2978 2
+ \end{center}
+ where
+d2982 44
+a3025 3
+ \item \var{N_p} is the number of photons in the photon map,
+ \item \var{[\phi_r, \phi_g, \phi_b]} is the photon flux averaged over
+ the RGB colour channels,
+d3032 8
+a3039 2
+ \item \lit{Radiance\_Direct\_Photon\_Map} or
+ \item \lit{Radiance\_Contrib\_Photon\_Map}
+a3043 2
+ As with other file types, \cmd{getinfo} can query multiple photon maps
+ in one command line.
+d3048 1
+d3057 4
+a3060 3
+ be seen in \autoref{fig:cornell_distrib}~(right),
+ \autoref{fig:roi} and \autoref{fig:pmapdump-sunpu}.
+
+d3083 1
+a3083 1
+ \item[\textcolor{green}{Green}:] volume photon
+d3085 2
+a3086 1
+ \item[\textcolor{yellow}{Yellow} (Yellow):] contribution photon
+d3101 1
+a3101 1
+ \label{fig:pmapdump-sunpu}
+d3118 1
+a3118 1
+ \begin{minipage}{0.95\linewidth}
+d3120 4
+a3123 5
+pmapdump [-a] [-n $num_1$] [-r $radscale_1$] [-f] \
+ [-c $rcol_1$, $gcol_1$, $bcol_1$] $pmap_1$ \
+ [-a] [-n $num_2$] [-r $radscale_2$] [-f] \
+ [-c $rcol_2$, $gcol_2$, $bcol_2$] $pmap_2$ \
+ $\ldots$
+d3126 1
+a3126 1
+ \end{center}
+d3146 7
+d3167 2
+a3168 2
+ with \cmd{pcond} for visualisation. This option is mutually
+ exclusive with \opt{-c}.
+d3179 19
+d3207 1
+a3207 1
+ for point list output in conjuction with \opt{-a}.
+d3278 1
+a3278 1
+ \label{fig:sunpu-cc}
+d3301 1
+a3301 1
+ the German Research Foundation (DFG LU204/10-2,
+d3304 6
+a3309 4
+ supported by the Swiss National Science Foundation (SNSF 147053,
+ \textit{%
+ Simulation based assessment of daylight redirecting components for
+ energy savings in office buildings%
+d3312 1
+a3312 1
+ for Scientific Research Programme (KAKENHI JP19KK0115, \textit{%
+d3315 1
+a3315 1
+ human‐centric lighting design%
+d3323 13
+a3335 8
+ \item[Dr. Peter Apian-Bennewitz] for initiating development of the
+ photon map at Fraunhofer ISE,
+ \item[Prof. Stephen Wittkopf and Dr. Lars Grobe] for re-igniting
+ development within the scope of the
+ \textit{Daylight redirecting components} project at HSLU,
+ \item[Prof. Nozomu Yoshizawa] and his team for initiating the project
+ \textit{Three-dimensional light flow} at Tokyo University of Science
+ and applying photon mapping in their experiments,
+d3337 2
+a3338 2
+ under Windoze and providing nightly builds for that platform,
+ 'cos The Developer(s) doan' do Windoze,
+d3341 1
+a3341 1
+ providing valuable feedback.
+d3363 19
+d3401 5
+a3405 8
+
+ \bibitem[Ward1994]{Ward1994}
+ Gregory J.~Ward: ``The \radiance{} Lighting Simulation and
+ Rendering System''. \textit{Proceedings SIGGRAPH~'94}, July~1994.
+
+ \bibitem[Ward1998]{Ward1998}
+ Greg Ward Larson and Rob Shakespeare: \textit{Rendering with
+ \radiance}. Morgan Kaufmann, San Francisco, 1998.
+d3427 50
+a3476 1
+ New York City, New York, USA, August~2019.
+d3486 1
+a3486 1
+ \section*{Appendix}
+d3502 1
+a3502 1
+ \label{fig:prismella}
+d3565 1
+a3565 1
+ \begin{figure}[h!]
+d3568 2
+a3569 1
+ \begin{minipage}{0.98\linewidth}
+d3575 1
+a3575 1
+ \label{fig:cpc-xsection}
+d3587 1
+a3587 1
+ \begin{figure}[h!]
+d3590 3
+a3592 2
+ \begin{minipage}{0.64\linewidth}
+ \includegraphics[width=\linewidth]{cornell-volume}\\%
+d3595 1
+a3595 1
+ \label{fig:cornell-volume}
+d3609 1
+a3609 1
+ \section{Parameter Ranges}
+@
+
+
+1.42
+log
+@Mentioned overlapping surfaces as potential degeneracy of polyhedral ROIs.
+@
+text
+@d26 2
+a27 2
+\RCS $Revision: 1.41 $
+\RCS $Date: 2021/09/02 19:05:18 $
+d587 1
+a587 1
+ (rectangles) or spheres, or as material modifiers specifying surfaces that
+d636 1
+a636 1
+ of the geometry, it is more convenient to specify the actual geometry
+d693 1
+a693 1
+ Individual surfaces (polygons) comprising \textbf{polyhedral ROIs} are
+d704 1
+a704 1
+ specify the geometry surrounding the ROI, as these will typically use
+d710 1
+a710 1
+ are infact closed nor degenerated (i.e. with overlapping surfaces) --
+d951 1
+a951 1
+ Defines all surfaces using the material modifier \var{mod} as part of
+d955 2
+a956 1
+ surfaces into a polyhedron. Note that no check is made to ensure the
+d958 1
+a958 1
+ overlapping surfaces) -- this is the user's responsibility.
+@
+
+
+1.41
+log
+@Added polyhedral ROIs to section "what's new".
+@
+text
+@d26 2
+a27 2
+\RCS $Revision: 1.40 $
+\RCS $Date: 2021/09/02 19:00:27 $
+d710 2
+a711 2
+ are infact closed nor degenerated (i.e. overlapping) -- this is the
+ user's responsibility.
+d956 2
+a957 2
+ polyhedron is closed and not degenerated -- this is the user's
+ responsibility.
+@
+
+
+1.40
+log
+@Minor corrections regarding ROIs
+@
+text
+@d26 2
+a27 2
+\RCS $Revision: 1.39 $
+\RCS $Date: 2021/09/02 15:23:18 $
+d59 4
+@
+
+
+1.39
+log
+@Added -aph/-apH polyhedral ROIs
+@
+text
+@d26 2
+a27 2
+\RCS $Revision: 1.38 $
+\RCS $Date: 2021/06/08 22:14:16 $
+d647 6
+a652 4
+ Volume photon distribution (visualised with \cmd{pmapdump})
+ within an octagonal interior. A global \lit{mist} was defined
+ on the command line to deposit the volume photons.
+ Without constraint, photons reflected or transmitted through
+d655 2
+a656 2
+ stored in the exterior. By defining a polyhedral region of
+ interest comprised of polygons surrounding the interior
+d659 3
+a661 2
+ interior. This is conviently done by specifying the
+ corresponding material modifiers of the geometry.
+d947 1
+a947 1
+ Define all surfaces using the material modifier \var{mod} as part of
+d962 1
+a962 1
+ Read modifiers comprising polyhedral regions of interest (ROIs) from
+d972 5
+a976 5
+ Defines a rectangular region of interest (ROI) within which to store
+ photons exclusively; photons will only be stored within the
+ volume bounded by the given minimum and maximum coordinates. Multiple
+ instances of this option may be specified with cumulative effect
+ to define compound ROIs.
+@
+
+
+1.38
+log
+@Documented ETA in mkpmap progress reports,
+Documented issues with polygonal sources/ports.
+@
+text
+@d26 2
+a27 2
+\RCS $Revision: 1.37 $
+\RCS $Date: 2021/06/08 21:25:38 $
+d581 7
+a587 14
+ of interest, or ROIs, in which to exclusively store photons. This is done
+ by supplying appropriate 3D coordinates defining bounding boxes as
+ $(min_x, min_y, min_z, max_x, max_y, max_z)$ to
+ \cmd{mkpmap} via mutiple instances of the \opt{-api} option.
+
+ Photons are then only stored if their hitpoints lie within one of the
+ defined ROIs, in which case it will be added to the photon map. The
+ photon path and the resulting contribution to the lighting solution
+ remains unaffected; path segments entering a ROI will deposit photons,
+ while those leaving a ROI will not. Note that the number of stored
+ photons remains approximately the same, but the photon map generation
+ can take considerably longer, depending on the volume and location
+ of the ROIs relative to the photon trajectories.
+
+d596 1
+a596 9
+
+ ROIs are an advanced option with inherent pitfalls, as excluding photons
+ from the scene can lead to bias. It is assumed that the user can estimate
+ the bias that results from omitting the indirect illumination contributed
+ by the excluded photons outside the ROI. For example, using a ROI
+ corresponding to the abovementioned interior to estimate glare from
+ the fenestration would clearly lead to underestimation as
+ interreflections within the fenestration are omitted.
+
+d613 3
+a615 3
+ region of interest corresponding to the room's extent with
+ the \opt{-api} option, \cmd{mkpmap} only deposits photons in
+ the interior, resulting in an
+d628 57
+d686 39
+d942 22
+d969 3
+a971 3
+ Defines a rectangular region of interest within which to store photons
+ exclusively; photons will only be stored within the volume
+ bounded by the given minimum and maximum coordinates. Multiple
+d973 4
+a976 4
+ to define compound regions of interest.
+
+ This is useful for
+ constraining photons to only the relevant regions of a scene, but
+d985 1
+a985 1
+ given radius, centred at the given coordinates.
+@
+
+
+1.37
+log
+@Minor corrections/rewording, documented trivalent -aps option for
+bidirectional virtual sensor surfaces.
+@
+text
+@d26 2
+a27 2
+\RCS $Revision: 1.36 $
+\RCS $Date: 2021/04/13 15:30:42 $
+d722 1
+a722 1
+$p\ $% after $t$ hours
+d734 1
+d2079 2
+a2080 1
+ \section{Bugs and Weirdness}
+d2098 10
+d2149 2
+a2150 1
+ light sources see no geometry &
+d2153 13
+a2165 1
+ \hline
+d2179 2
+a2180 14
+ \hline
+ \hline
+ Excessive noise in photon irradiance &
+ Bandwidth too low &
+ Increase bandwidth \\
+ \hline
+ Excessive blurring in photon irradiance &
+ Bandwidth too high &
+ Decrease bandwidth or increase size of photon map \\
+ \hline
+ Excessive noise and blurring in different regions &
+ Bandwidth is fixed &
+ Apply bias compensation for dynamic bandwidth \\
+ \hline
+d2184 1
+a2184 1
+ \hline
+d2192 1
+a2192 1
+ \hline
+d2199 1
+a2199 1
+ \hline
+d2207 1
+a2207 1
+ \hline
+d2211 8
+a2218 1
+ \hline
+d2222 1
+a2222 1
+ \hline
+@
+
+
+1.36
+log
+@Documented mkpmap's -apI option.
+@
+text
+@d26 2
+a27 2
+\RCS $Revision: 1.35 $
+\RCS $Date: 2021/03/23 21:39:44 $
+d602 1
+a602 1
+ fenestration. An example of this is shown in figure \ref{fig:roi}.
+d604 1
+a604 1
+ ROIs are an advances option withinherent pitfalls, as excluding photons
+d623 1
+a623 1
+ \label{fig:roi}
+d641 1
+a641 1
+ \end{figure}
+d908 2
+a909 2
+ By default, ports are oriented to emit in the halfspace defined
+ by their associated surface normal. This can be overridden by
+d915 1
+a915 2
+ photons are emitted into the halfspace facing away from the
+ surface normal,
+d947 3
+a949 2
+ instances of \opt{-apo}.
+
+d963 1
+a963 1
+ \item{\opt{-aps} \var{sensmod}}\\
+d970 3
+a972 1
+ as an invisible photon receiver.
+d981 12
+a992 5
+ Note that photons are only deposited when
+ incident from the front side of the sensor surface, i.e. when
+ entering the \lit{antimatter}, thus the surface normal is
+ relevant. \cmd{mkpmap} reports an error if the specified
+ modifier is not an \lit{antimatter} material.
+d994 1
+a994 4
+ See figure \ref{sec:roi} for an example of a sensor surface
+ in action.
+
+ \item{\opt{-apS} \var{sensfile}}\\
+d997 3
+a999 2
+ multiple instances of \opt{-aps}.
+
+@
+
+
+1.35
+log
+@Increased --> reduced for higher res -ds!
+@
+text
+@d26 2
+a27 2
+\RCS $Revision: 1.34 $
+\RCS $Date: 2021/03/23 21:25:09 $
+d137 1
+a137 1
+ \section{Overview of the Implementation}
+d583 1
+a583 1
+ $(x_{min}, y_{min}, z_{min}, x_{max}, y_{max}, z_{max})$ to
+d861 5
+a865 3
+ \item{\opt{-api} \var{x_{min}} \var{y_{min}} \var{z_{min}}
+ \var{x_{max}} \var{y_{max}} \var{z_{max}}}\\
+ Defines a region of interest within which to store photons
+d877 6
+@
+
+
+1.34
+log
+@Clarified interplay of photon ports and mkpmap's -dp and -ds opts.
+@
+text
+@d26 2
+a27 2
+\RCS $Revision: 1.33 $
+\RCS $Date: 2020/08/12 00:45:28 $
+d1028 1
+a1028 1
+ extent, and may need to be increased for modified light sources with
+@
+
+
+1.33
+log
+@Revised -apo option documentation for mkpmap, extended example scenarios
+for photon port reorientation by use case with BSDF.
+@
+text
+@d26 2
+a27 2
+\RCS $Revision: 1.32 $
+\RCS $Date: 2020/08/07 00:28:02 $
+d889 1
+a889 1
+ of any light sources defined with the \lit{source} material.
+d931 6
+d1015 1
+a1015 1
+ distribution of a modified light source (e.g. via
+d1018 1
+a1018 1
+ by the source, and may need increasing with complex
+d1023 7
+a1029 6
+ resolution for photon emission from light sources. A light
+ source is spatially partitioned to distribute the photon
+ emission over its surface. This parameter specifies the ratio
+ of the size (per dimension) of each partition to the scene cube
+ extent, and may need increasing for modified light sources with
+ high spatial variation.
+d1783 2
+a1784 2
+ Development of the \radiance{} photon map was contributed by the
+ following institutions:
+d1802 1
+a1802 1
+ The developer(s) would also like to thank the following individuals for
+d1814 7
+a1820 2
+ and applying
+ photon mapping in their experiments.
+d1822 2
+a1823 4
+ Many thanks also to those who took the time to test the tool with
+ \realLife\ scenes and report bugs and provide valuable feedback,
+ in particular \textbf{Carsten Bauer} (Capt.~B) at Radzilla.org, and
+ \textbf{Dr. David Geisler-Moroder} at Bartenbach GmbH.
+@
+
+
+1.32
+log
+@Major revisions and reorganisation, added frames to figures,
+set commands and output samples in listings style.
+Added Sunpu lightflow renderings. Cited ongoing Lightflow project with
+Tokyo Uni of Science.
+Documented new -apo photon port orientation options for mkpmap.
+Added Lightflow presentation at RADIANCE 2019 to references.
+Etc, etc, etc....
+@
+text
+@d26 2
+a27 2
+\RCS $Revision: 1.31 $
+\RCS $Date: 2019/08/14 18:07:00 $
+d912 18
+a929 8
+ Situations that call for a reversed photon port include, for
+ example, (a) using fenestrations as ports that were (for whatever
+ reason) defined with outward facing normals, without having to
+ revise the model, or (b) using a \lit{mist} primitive as a port,
+ since this requires outward facing normals in order to register the
+ photons as having entered the volume. Other oddball scenarious
+ are conceivable. If in doubt, just use the default. Doan' mess
+ with da normalz.
+@
+
+
+1.31
+log
+@Documented scaling of photon flux by dump ratio when using pmapdump's -f option.
+@
+text
+@d2 1
+a2 1
+\usepackage{color,graphicx,pslatex,rcs,gensymb,footmisc}
+d17 11
+a27 2
+\RCS $Revision: 1.30 $
+\RCS $Date: 2019/01/22 19:46:56 $
+d30 5
+a34 3
+\author{Roland Schregle (roland.schregle@@\{hslu.ch, gmail.com\})\\
+ CC Building Envelopes\\
+ Lucerne University of Applied Sciences and Arts}
+d48 11
+a58 29
+ Development of the \radiance{} photon map extension has resumed as of
+ november 2013, with the following new features and extended
+ functionality:
+ \begin{itemize}
+ \item Full integration with official \radiance{} distribution
+ \item Support for \lit{bsdf} material
+ \item (Very) basic support for \lit{plasfunc, metfunc,
+ transfunc, plasdata, metdata, transdata}, and \lit{brtdfunc}
+ materials.
+ \item Support for light source contributions via \cmd{rcontrib}
+ \item Support for regions of interest and maximum photon path length
+ \item Selective inclusion/exclusion of modifiers
+ \item Simplified parametrisation with \cmd{rpict}
+ \item Improved maximum search radius for photon lookups
+ \item Improved support for virtual \lit{antimatter} sensor surfaces.
+ \item Renamed some \cmd{mkpmap} options for consistency with
+ \cmd{rpict}; old options kept for interim backwards
+ compatibility.
+ \item Deprecated \cmd{mkpmap}'s \opt{-i} option.
+ \item More output options for \cmd{pmapdump}.
+ \item Optional build using out-of-core data structure for very large
+ photon maps \cite{Schr16}.
+ \item Synced PDF manual and manpages.
+ \item Bugfixes! (Wheeee!) \textbf{:-)}
+ \item \textcolor{red}{
+ {\bf ATTENTION}: Photon port normals now point
+ \underline{towards the interior} as per \cmd{mkillum}
+ convention!
+ }
+d62 2
+a63 2
+
+ \section{Introduction}
+d65 1
+a65 1
+ The \radiance{} rendering system \cite{Ward94} is a very versatile and
+d81 1
+a81 1
+ \cite{Ward98},
+d88 1
+a88 1
+ The problem is actually far more fundamental due to \radiance's backward
+d93 12
+a104 6
+ \includegraphics[width=0.7\linewidth]{IMG_5048b}
+ \parbox{0.7\linewidth}
+ {\caption{\small
+ Photograph of caustic from retroreflecting lamella
+ (patented by Helmut K\"oster).}
+ \label{fig:caustic}}
+d109 2
+a110 2
+ above as a supplementary algorithm. The photon map \cite{Jens96, Jens97,
+ Jens00} was chosen for a number of reasons:
+d120 1
+a120 1
+ participating media \cite{Jens98}.
+d136 1
+a136 1
+
+d163 20
+a182 16
+ \mbox{}\hfill%
+ \includegraphics[width=0.44\linewidth]{cornell-distrib1}%
+ \hspace{0.02\linewidth}%
+ \includegraphics[width=0.44\linewidth]{cornell-distrib2}%
+ \hfill\mbox{}\\%
+ \parbox{0.9\linewidth}
+ {\caption{\small
+ Global photon distribution in the Cornell box. Left:
+ global and caustic photon paths during forward pass.
+ Dots indicate stored photons, where blue represents
+ global photons, and red represents caustic photons.
+ Right: photon distribution after completion of forward
+ pass (visualised with \cmd{pmapdump}).
+ Note the concentration of caustic photons on the
+ back wall reflected from the glass sphere.}
+ \label{fig:cornell_distrib}}
+d187 14
+a200 8
+ \resizebox{0.7\linewidth}{!}{\input{figs/nnsearch}}
+ \parbox{0.75\linewidth}
+ {\caption{\small
+ Gathering photons via nearest neighbour search. The
+ number of gathered photons defines the
+ \lit{bandwidth}, or intercepted area, of the density
+ estimate use to evaluate the irradiance.}
+ \label{fig:nnsearch}}
+d210 25
+a234 8
+ \begin{quote}
+ \cmd{mkpmap} \var{pmap_1} \var{pmap_2\ldots}
+ \var{[options]\ldots}\\
+ \cmd{rpict}$|$\cmd{rtrace}$|$\cmd{rvu} \var{pmap_1} \var{pmap_2\ldots}
+ \var{[options]\ldots}
+ \end{quote}
+
+ Four photon types are available, which are stored in separate photon maps
+d243 2
+a244 1
+ participating media using the \lit{mist} primitive.
+d246 12
+a257 1
+ and areintended as a debugging option.
+d302 1
+d304 4
+a307 1
+ In order for volume photons to function correctly with materials
+d310 1
+a310 1
+ surround the light source(s) and viewpoint with a mist boundary (e.g.
+d314 6
+a319 7
+ Participating media are essentially hacked into \radiance, and this
+ calls for peculiar workarounds. In order to get volume caustics from
+ light passing through an object, it must also be surrounded by a mist
+ boundary. Alternatively, the mist parameters can be set globally on
+ the command line, however this requires setting the source and
+ viewpoint boundaries' extinction to zero, otherwise extinction is
+ accumulated.
+d324 2
+a325 2
+ of mist, e.g. a mist boundary for the entire scene. All this just to
+ make life more interesting.
+d327 5
+d353 14
+a366 15
+ Light sources may be modified by function files. During photon
+ emission, the predefined variables passed to them (see \lit{
+ rayinit.cal}) are defined in terms of the photon origin on the
+ light source:
+ \begin{itemize}
+ \item the emitted photon's direction \var{D_x}, \var{D_y}, and
+ \var{D_z} points towards the photon origin
+ \item \var{N_x}, \var{N_y}, and \var{N_z} is the normal on the
+ light source surface at the photon origin
+ \item \var{P_x}, \var{P_y}, and \var{P_z} is the emitted photon's
+ origin
+ \item \var{T} and \var{Ts} are undefined
+ \item \var{Rdot} is the dot product of the surface normal and the
+ photon's direction at its origin.
+ \end{itemize}
+d383 12
+a394 13
+ Per Christensen's precomputed photon mapping approach \cite{Chri00}
+ has been integrated into the implementation and is available as an
+ option to accelerate the global photon gathering step. Global photon
+ irradiance is precomputed for a fraction of the photon positions and
+ stored with the photons, while the rest are discarded. This reduces
+ the overhead of global photon lookups during the gathering phase;
+ only the single closest global photon is retrieved, and its
+ precomputed irradiance can be used directly (figure \ref{fig:precomp}).
+
+ This approximation has the disadvantage of introducing bias to the
+ solution for scenes with nonuniform indirect illumination.
+ Precomputation may be combined with bias compensation (see below),
+ albeit to marginal advantage.
+d398 12
+a409 6
+ \includegraphics[width=0.6\linewidth]{precomp}\\%
+ \parbox{0.6\linewidth}
+ {\caption{\small
+ Directly visualised precomputed global photon
+ irradiance. Note the caustic from the glass sphere.}
+ \label{fig:precomp}}
+d424 1
+a424 1
+ \cite{Schr03} was developed and incorporated into the density
+d442 19
+a460 15
+ \mbox{}\hfill%
+ \includegraphics[angle=-90, width=0.44\linewidth]
+ {spot-bias-50000-false}%
+ \hspace{0.02\linewidth}%
+ \includegraphics[angle=-90, width=0.44\linewidth]
+ {spot-biascomp-50000-false}%
+ \hfill\mbox{}\\%
+ \parbox{0.9\linewidth}
+ {\caption{\small
+ Left: falsecolour rendering of severely biased caustic
+ with a bandwidth of 5000 photons. The caustic should
+ have an irradiance of 10 $W/m^2$. Right: falsecolour
+ rendering of the same caustic with bias compensation
+ using a bandwidth of 50--5000 photons.}
+ \label{fig:biascomp}}
+d490 2
+a491 2
+ can manually override this automation and specify a fixed maximum search
+ radius.
+d514 1
+a514 1
+ A simple workaround to the problem is the concept of photon \emph{
+d517 7
+a523 6
+ skylights, but also invisible polygons within the scene (figure
+ \ref{fig:port}). The primary drawback to this scheme is that it
+ requires user intervention. The user must define the port geometry
+ and specify them according to their modifiers. If the user places the
+ ports intelligently, the photon loss factor will be reduced
+ dramatically, resulting in a substantial increase in performance.
+d527 14
+a540 8
+ \includegraphics[width=0.75\linewidth]{port4}
+ \parbox{0.8\linewidth}
+ {\caption{\small
+ Typical daylighting geometry with window as photon
+ port for directional light sources. Note that external
+ reflections are not accounted for by photons emitted
+ from the port.}
+ \label{fig:port}}
+d546 2
+a547 4
+ faces. \emph{Port objects must be defined with their surface normals
+ pointing \underline{inside}} as per \cmd{mkillum} convention. The
+ incident flux from directional sources is evaluated at each port and the
+ sources are checked for occlusion. However, no interreflection
+d552 10
+d571 1
+a571 1
+ parametrisation on behalf of the user. A more general approach using
+d573 2
+a574 2
+ without user intervention may materialise one day. {\scriptsize (Or not.
+ Probably not.)}
+d614 26
+a639 23
+ \mbox{}\hfill%
+ \includegraphics[width=0.44\linewidth]{scene-000-pmapdump-100k}%
+ \hspace{0.02\linewidth}%
+ \includegraphics[width=0.44\linewidth]{scene-000-pmapdump-100k-roi}%
+ \hfill\mbox{}\\%
+ \parbox{0.9\linewidth}{
+ \caption{
+ \label{fig:roi}
+ \small
+ Photon distributions (visualised with \cmd{pmapdump}) within
+ an interior fitted with a redirecting system. Without
+ constraint, the majority of photons are stored in the
+ fenestration due to interreflection (left). By defining a
+ region of interest corresponding to the room's extent with
+ the \opt{-api} option, \cmd{mkpmap} only deposits photons in
+ the interior, resulting in an
+ improved distribution and rendering quality (right). This
+ example also uses an invisible \lit{antimatter} sensor surface
+ (defined via the \opt{-aps} option)
+ to deposit photons at work plane height. This is
+ noticeably underpopulated without ROI, thus impacting
+ illuminance measurements on it.
+ }
+d644 1
+a644 1
+
+d651 1
+a651 1
+ subdividing data structure \cite{Bent75} which facilitates nearest
+d674 1
+a674 1
+
+d717 9
+a725 5
+ \begin{quote}
+ \var{N_e} emitted, \var{N_g} global, \var{N_c} caustic,
+ \var{N_v} volume, \var{N_d} direct,\\
+ \var{P}\% after \var{T} hours,
+ \end{quote}
+d732 2
+a733 2
+ \item \var{P} is the percentage completed
+ \item \var{T} is the time elapsed.
+d739 7
+a745 3
+ \begin{quote}
+ {\tt \var{N_p} precomputed, \var{P}\% after \var{T} hours},
+ \end{quote}
+d752 9
+a760 10
+ \begin{center}
+ \begin{tabular}{l l}
+ \centering
+ \cmd{mkpmap} & \opt{-apg}$|$\opt{-apc}$|$\opt{-apv}$|$
+ \opt{-apd}$|$\opt{-app}$|$\opt{-apC}
+ \var{file} \var{nphotons} [\var{bwidth}]
+ $\ldots$\\
+ & [\var{options}] \var{octree}\\
+ \end{tabular}
+ \end{center}
+d764 1
+a764 1
+ \item{\opt{-apg} \var{file} \var{nphotons}}\\
+d766 1
+a766 1
+ \var{nphotons} photons, and output to \var{file}. This accounts
+d772 1
+a772 1
+ \item{\opt{-apc} \var{file} \var{nphotons}}\\
+d774 1
+a774 1
+ \var{nphotons} photons, and output to \var{file}.
+d782 1
+a782 1
+ \item{\opt{-apv} \var{file} \var{nphotons}}\\
+d784 1
+a784 1
+ \var{nphotons} photons, and output to \var{file}. These account
+d790 1
+a790 1
+ \item{\opt{-apd} \var{file} \var{nphotons}}\\
+d792 1
+a792 1
+ \var{nphotons} photons, and output to \var{file}. This only
+d806 1
+a806 1
+ \item{\opt{-apC} \var{file} \var{nphotons}}\\
+d809 1
+a809 1
+ \var{file}. This may then be used by \cmd{rcontrib} to compute
+d830 1
+a830 1
+ \item{\opt{-app} \var{file} \var{nphotons} \var{bwidth}}\\
+d833 1
+a833 1
+ \opt{-apP} option, see below), and output to \var{file}.
+d836 1
+a836 1
+ irradiance is evaluated with a bandwidth of \var{bwidth}
+d886 2
+a887 2
+ \item{\opt{-apo} \var{mod}}\\
+ Specifies a modifier \var{mod} to act as a photon port. All
+d892 2
+a893 1
+ emitting light source via an opening, or port.
+d895 25
+a919 6
+ A typical
+ application is daylight simulation, where a fenestration acts
+ as port to admit photons into an interior after emission from
+ an external light source. See section \ref{sec:ports} for
+ details on using photon ports. Multiple instances of this option
+ may be specified.
+d921 2
+a922 2
+ \item{\opt{-apO} \var{file}}\\
+ Read photon port modifiers from the file \var{file}, separated
+d939 2
+a940 2
+ \item{\opt{-aps} \var{mod}}\\
+ Specifies a modifier \var{mod} defined as \lit{antimatter}
+d958 1
+a958 1
+ relevant. \cmd{Mkpmap} reports an error if the specified
+d964 2
+a965 2
+ \item{\opt{-apS} \var{file}}\\
+ Read virtual sensor surface modifiers from the file \var{file},
+d969 3
+a971 3
+ \item{\opt{-ae} \var{mod}}\\
+ Add \var{mod} to the ambient exclude list, so that it will be
+ ignored by the photon map. Objects having \var{mod} as their
+d976 1
+a976 1
+ \item{\opt{-aE} \var{file}}\\
+d978 1
+a978 1
+ \var{file}, separated by whitespace.
+d980 3
+a982 3
+ \item{\opt{-ai} \var{mod}}\\
+ Add \var{mod} to the ambient include list, so that it will
+ contribute to the photon map. Only objects having \var{mod} as
+d988 1
+a988 1
+ \item{\opt{-aI} \var{file}}\\
+d990 1
+a990 1
+ \var{file}, separated by whitespace.
+d1014 2
+a1015 2
+ \item{\opt{-e} \var{file}}\\
+ Redirect diagnostics and progress reports to \var{file} instead of
+d1059 10
+a1068 3
+ Use \var{nproc} processes for parallel photon distribution.
+ There is no benefit in specifying more than the number of
+ physical CPU cores available.
+d1081 43
+d1126 1
+d1165 1
+a1165 1
+ \cite{Chri00}, see figure \ref{fig:visualisation}). This reduces
+d1169 20
+a1188 1
+
+d1204 1
+a1204 15
+
+ \begin{figure}[!htb]
+ \centering
+ \includegraphics[width=0.6\linewidth]{visualisation}
+ \parbox{0.75\linewidth}
+ {\caption{\small
+ Caustic photons are visualised at the primary
+ ray, while an intermediate stratified sampling
+ step is used between the primary ray and the
+ global photon density estimate
+ (\emph{final gather}).}
+ \label{fig:visualisation}}
+ \end{figure}
+
+
+d1212 7
+a1218 4
+ \begin{quote}
+ \var{N_{min}/N_{max}/N_{avg}} \var{ptype},
+ (\var{\epsilon_{min}/\epsilon_{max}/\epsilon_{rms}} error),
+ \end{quote}
+d1221 1
+a1221 1
+ \item \var{N_{min}}, \var{N_{max}}, and \var{N_{avg}} are the minimum,
+d1224 4
+a1227 4
+ \item \var{ptype} is one of \lit{global}, \lit{caustic}, \lit{volume},
+ or \lit{direct}.
+ \item \var{\epsilon_{min}}, \var{\epsilon_{max}}, and
+ \var{\epsilon_{rms}} are the minimum, maximum, and RMS (root mean
+d1253 11
+a1263 10
+ \begin{verse}
+ \cmd{mkpmap} \opt{-apg} \var{globalpmap} \var{nphotons}
+ \opt{-apc} \var{causticpmap} \var{nphotons} \textbackslash\\
+ \qquad \var{octree} \\
+ \cmd{rpict} \opt{-ap} \var{globalpmap} \var{bwidth}
+ \opt{-ap} \var{causticpmap} \var{bwidth} \opt{-ab} 1
+ \opt{-vf} \var{view} \textbackslash\\
+ \qquad \var{octree}
+ \end{verse}
+
+d1265 1
+a1265 1
+ parameters may need modification in some cases to improve the
+d1267 3
+a1269 2
+ \radClassic{} with extended semantics in conjunction with photon
+ maps. The \cmd{rpict} photon mapping options are as follows:
+d1290 1
+a1290 1
+ \item{\opt{-ap} \var{file} \var{[bwidth_1} \var{[bwidth_2]]}}\\
+d1344 2
+a1345 2
+ software version supports out-of-core photon
+ mapping.\label{cacheNote}}\\
+d1373 126
+d1502 3
+a1504 1
+ \section{Querying the Photon Map with \cmd{getinfo}}
+d1509 11
+a1519 7
+ \begin{quote}
+ \#?RADIANCE\\
+ \var{cmdline}\\
+ \var{N_p} photons @@ \var{[\phi_r, \phi_g, \phi_b]} avg watts\\
+ FORMAT=\var{fmt}\\
+ VERSION=\var{ver}
+ \end{quote}
+d1536 2
+a1537 1
+ \item \var{ver} is a file format version number to ensure compatibility.
+d1544 1
+a1544 1
+ \section{Visual Examination with \cmd{pmapdump}}
+d1546 2
+d1553 3
+a1555 2
+ be seen in \autoref{fig:cornell_distrib}(right) and \autoref{fig:roi}.
+
+d1588 22
+d1611 11
+a1621 14
+ \begin{verse}
+ \cmd{pmapdump} [\opt{-a}] [\opt{-n} \var{num_1}]
+ [\opt{-r} \var{radscale_1}]
+ [\opt{-f} $|$ \opt{-c} \var{rcol_1} \var{gcol_1} \var{ bcol_1}]
+ \textbackslash\\
+ \qquad\qquad\qquad
+ \var{pmap_1} \textbackslash\\
+ \qquad\qquad\qquad
+ [\opt{-a}] [\opt{-n} \var{num_2}] [\opt{-r} \var{radscale_2}]
+ [\opt{-f} $|$ \opt{-c} \var{rcol_2} \var{gcol_2} \var{ bcol_2}]
+ \textbackslash\\
+ \qquad\qquad\qquad \var{pmap_2} \ldots
+ \end{verse}
+
+d1639 1
+a1639 1
+ viewer.
+d1679 3
+d1688 3
+d1694 11
+a1704 9
+ \begin{verse}
+ \cmd{pmapdump} \opt{-n} \lit{5k} \opt{-c} \lit{1 0.4 0.4}
+ \lit{global.pm} \textbackslash\\
+ \qquad\qquad\qquad \opt{-n} \lit{10k} \opt{-c} \lit{0.4 0.4 1}
+ \lit{caustic.pm} \textbackslash\\
+ \qquad\qquad\qquad $|$ \cmd{oconv} - \lit{scene.rad} $>$
+ \lit{scene\_pm.oct}\\
+ \cmd{rvu} \lit{scene\_pm.oct}
+ \end{verse}
+d1711 8
+a1718 6
+ \begin{verse}
+ \cmd{pmapdump} \opt{-n} \lit{10k} \opt{-f} \lit{caustic.pm}
+ \textbackslash\\
+ \qquad\qquad\qquad $|$ \cmd{oconv} - \lit{scene.rad} $>$
+ \lit{scene\_pm.oct}
+ \end{verse}
+d1722 7
+a1728 3
+ \begin{verse}
+ \cmd{pmapdump} \lit{zombo.pm} $|$ \cmd{objview}
+ \end{verse}
+d1731 8
+a1738 9
+ cloud viewer:
+ \begin{verse}
+ \cmd{pmapdump} \opt{-a} \opt{-f} \opt{-n} \lit{10k} \lit{lotsa.pm}
+ $>$ \lit{lotsa\_pointz}
+ \end{verse}
+
+
+ \section{Photon Mapping with Light Source Contributions}
+ \label{sec:lsContribs}
+d1740 1
+a1740 65
+ The \radiance{} photon map has been adapted to facilitate the
+ computation of light source contributions for annual and
+ climate-based daylight simulation \cite{Schr15}. In this workflow,
+ the scene supplied to \cmd{mkpmap} contains multiple light sources
+ representing different time-dependent positions (e.g. solar
+ elevations depending on season and time of day) of one source, which
+ are handled as aggregate for efficient simulation. The \cmd{rcontrib}
+ tool supplied with \radiance{} can then determine the irradiance for
+ each light source for a given sensor position in the scene, thus
+ efficiently accounting for each source's contribution. In practice,
+ this is done by ``binning'' the resulting irradiance into separate
+ output files for each light source. See the \cmd{rcontrib} man page
+ for details.
+
+ In support of light source contributions, \cmd{mkpmap} uses a
+ modified photon distribution algorithm via the \opt{-apC} option that
+ ensures each light source contributes approximately the same number
+ of photons, irrespective of its emitted flux. To compensate and
+ maintain energy balance, the flux of each photon is adjusted
+ accordingly, which can raise the variance of the resulting density
+ estimates.
+
+ The generated photon map contains a list of primary hitpoints,
+ incident directions, and emitting light sources, which are indexed by
+ each photon which is spawned along the primary ray's path. This
+ information is used to identify the emitting light source for each
+ photon map, as well as apply an additional binning function to the
+ incident direction via the \opt{-b} option as documented in the
+ \cmd{rcontrib} man page, e.g. to identify contributions from
+ individual sky patches.
+
+ Unlike \cmd{rcontrib}, the photon map only supports contributions
+ from light sources, not arbitrary modifiers. Ray coefficients are
+ supported via the \opt{-V-} option, which amounts to normalising the
+ emission of each light source for {\it a posteriori\/} scaling without
+ rebuilding the photon map. Using fewer photons than there are light
+ sources for photon density estimates results in omitted
+ contributions, thus \cmd{rcontrib} clamps the bandwidth accordingly
+ and issues a warning.
+
+ A typical invocation of the \radiance{} photon map with light source
+ contributions consists of the following:
+ \begin{verse}
+ \cmd{mkpmap} \opt{-apC} \var{contribpmap} \var{nphotons}
+ \var{octree}\\
+ \cmd{rcontrib} \opt{-I -h -V -fo -o \%s}\var{contribfile}
+ \opt{-M} \var{modfile} \textbackslash\\
+ \qquad\qquad \opt{-ap} \var{contribpmap} \var{bwidth}
+ \var{octree} $<$ \var{sensorpos},
+ \end{verse}
+ where \var{contribfile} is the suffix for the output bin files per
+ light source, \var{modfile} is a file containing the list of light source
+ modifiers to bin, and \var{sensorpos} is a list of sensor positions
+ as input for the irradiance calculation.
+
+ An example of a visual analysis of a redirecting component for a half
+ year using contribution photons is shown in figure
+ \ref{fig:koester-luxtherm-half}. The performance of the system
+ (consisting of retroreflecting blinds) can be assessed subject to
+ seasonal daylight availability. Redirection towards the ceiling is
+ evident particularly from January to April. Transmission, on the
+ other hand, occurs at low solar angles until March, before
+ transitioning into retroreflection at high solar angles.
+
+ \begin{figure}[p]
+d1742 16
+a1757 11
+ \includegraphics[width=\linewidth]{koester-luxtherm-half}
+ \parbox{\linewidth}{
+ \caption{
+ \label{fig:koester-luxtherm-half}
+ Retroreflecting blinds at 26 solar angles for a half year
+ (January to June with weekly intervals) rendered with
+ contribution photon map and \cmd{rcontrib}. In each instance
+ the time of day is 1:00pm. Redirection and transmission dominate
+ until March, while retroreflection dominates in the following
+ months.
+ }
+a1759 1
+
+a1761 1
+ \section{Bugs and Weirdness}
+d1763 2
+a1764 1
+ \begin{itemize}
+d1766 38
+a1803 8
+ \item The spotlight focal point is ignored by the photon map; it
+ coincides with the light source surface. This corresponds to
+ specifying a direction vector of infinitesimal length in
+ \radClassic.
+
+ \item \cmd{mkpmap}'s distribution algorithm can exceed the specified
+ number of photons with scenes having high reflectance or when
+ excessively high settings of \opt{-apD} are used.
+a1804 5
+ \item Caustic photon irradiance will be biased when passing
+ \cmd{rtrace} points which do not lie on a surface, unless a
+ virtual receiver surface is defined with \lit{antimatter} and
+ specified with \cmd{mkpmap}'s \opt{-aps} or \opt{-apS}
+ option, as detailed in section \ref{sec:mkpmap}.
+a1805 1
+ \end{itemize}
+d1807 14
+a1820 17
+
+
+ \section{Acknowledgements}
+
+ \copyright\ Fraunhofer Institute for Solar Energy Systems, Lucerne
+ University of Applied Sciences and Arts. Development of the
+ \radiance{} photon map was suppoerted by the German Research
+ Foundation (DFG) as part of the FARESYS project, and the Swiss
+ National Science Foundation as part of the project ``Simulation
+ based assessment of daylight redirecting components for energy
+ savings in office buildings'' (DRC, \#147053).
+
+ Thanks to Dr. Peter Apian-Bennewitz for initiating development of the
+ photon map at Fraunhofer ISE, Greg Ward for his support in
+ integrating the code, and Prof. Stephen Wittkopf and Lars Grobe for
+ initiating the latest phase of development within the scope of the
+ DRC project.
+d1822 4
+a1825 2
+ Thanks also to those who took the time to test the tool with
+ \realLife\ scenes and report bugs and provide valuable feedback!
+d1827 1
+a1827 13
+
+ \begin{thebibliography}{99}
+ \bibitem[Ward94]{Ward94}
+ Gregory J.~Ward: ``The \radiance{} Lighting Simulation and
+ Rendering System''. Proceedings SIGGRAPH~'94, July~1994
+ \bibitem[Ward98]{Ward98}
+ Greg Ward Larson and Rob Shakespeare: ``Rendering with
+ \radiance''. Morgan Kaufmann, San Francisco, 1998
+ \bibitem[Jens96]{Jens96}
+ Henrik Wann Jensen: ``Global Illumination using Photon Maps''.
+ Rendering Techniques '96, Eds. X.~Pueyo and P.~Schr\"oder,
+ Springer-Verlag, 1996
+ \bibitem[Jens97]{Jens97}
+d1829 3
+a1831 2
+ Surfaces''. Computer Graphics Forum, vol.~16~(1), March~1997
+ \bibitem[Jens98]{Jens98}
+d1834 4
+a1837 2
+ Media using Photon Maps''. Proceedings SIGGRAPH~'98, July~1998
+ \bibitem[Jens00]{Jens00}
+d1840 11
+a1850 8
+ SIGGRAPH~2000 Course Notes~8, July~2000
+ \bibitem[Bent75]{Bent75}
+ Jon Louis Bentley: ``Multidimensional Binary Search Trees
+ Used for Associative Searching''. CACM 18(9), 1975
+ \bibitem[Chri00]{Chri00}
+ Per Christensen: ``Faster Photon Map Global Illumination''.
+ Journal of Graphics Tools, vol.~4~(3), April~2000
+ \bibitem[Schr03]{Schr03}
+d1852 3
+a1854 2
+ Computer Graphics Forum, vol.~22~(4), December~2003
+ \bibitem[Schr15]{Schr15}
+d1858 3
+a1860 2
+ Proceedings CISBAT 2015, Lausanne, Switzerland
+ \bibitem[Schr16]{Schr16}
+d1863 8
+a1870 1
+ Journal of Building Performance Simulation, 2016 (to appear)
+d1872 4
+a1875 1
+
+d1880 1
+d1883 27
+a1909 20
+ \begin{figure}[h]
+ \centering
+ \includegraphics[width=0.49\linewidth]{prismella-xsection-hi-close3}%
+ \hfill
+ \includegraphics[width=0.49\linewidth]{prismella-xsection-lo-close3}%
+ \\
+ \parbox{\linewidth}{
+ \caption{
+ \label{fig:prismella}
+ Retroreflecting blinds patented by Helmut K\"oster, rendered
+ with \radiance{} photon map using 600k global and 6M caustic
+ photons with a bandwidth of 100 and 100--2000 (bias
+ compensated), respectively. At 40\degree{} incidence (left),
+ sunlight is retroreflected as evidenced by the caustics on
+ the wall, while skylight is scattered into the interior off
+ the diffuse lamellae undersides. At 20\degree{} incidence
+ (right), the inclination requires adjustment as sunlight is
+ now redirected towards the lamellae undersides rather than
+ being retroreflected.
+ }
+d1912 19
+d1932 1
+a1932 1
+ \begin{figure}[h]
+d1934 16
+a1949 9
+ \includegraphics[angle=-90, width=\linewidth]{litepipe-xsection-pmap}
+ \parbox{\linewidth}{
+ \caption{
+ \label{fig:litepipe-xsection}
+ Cross-sectional view of a lightpipe rendered with 500k global
+ and 1M caustic photons. The photons are emitted via ports
+ defined for the window, pipe aperture, and external heliostat
+ (not visible).
+ }
+d1951 4
+a1954 1
+ \end{figure}
+d1956 4
+a1959 1
+ \begin{figure}[h]
+d1961 16
+a1976 12
+ \includegraphics[width=0.49\linewidth]{cpc-xsection1}%
+ \hfill
+ \includegraphics[width=0.49\linewidth]{cpc-xsection2}\\%
+ \parbox{\linewidth}{
+ \caption{
+ \label{fig:cpc-xsection}
+ Compound parabolic concentrator with opaque apertures
+ rendered with volume photon map in a \lit{mist} environment.
+ At normal incidence (left), the incident beam is
+ retroreflected, whereas at 50\degree{} incidence (right) it
+ is transmitted and redirected in a characteristic fan-out.
+ }
+d1980 1
+a1980 1
+ \begin{figure}[h]
+d1982 13
+a1994 14
+ \includegraphics[width=0.33\linewidth]{cornell-flood-50}%
+ \hfill
+ \includegraphics[width=0.33\linewidth]{cornell-flood-500}%
+ \hfill
+ \includegraphics[width=0.33\linewidth]{cornell-flood-50-500}%
+ \\
+ \parbox{\linewidth}{
+ \caption{
+ \label{fig:cornell-flood}
+ Flooded Cornell box rendered with caustic photon map using
+ fixed bandwidths of 50 (left) and 500 (centre) photons, and
+ a dynamic bandwidth of \mbox{50--500} photons with bias
+ compensation.
+ }
+d1996 2
+a1997 2
+ \end{figure}
+
+d2008 2
+a2009 1
+ beyond the typical range.
+d2013 1
+a2013 1
+ \begin{tabular}{|l|l|}
+d2015 1
+a2015 1
+ \cmd{mkpmap} parameter & typical range \\
+d2018 2
+a2019 1
+ \var{nphotons} & 50k--1m \\
+d2027 1
+a2027 1
+ \cmd{rpict} parameter & typical range \\
+d2030 5
+a2034 2
+ \var{bwidth_1} & 50--100 \\
+ \var{bwidth_2} & 200--500 \\
+a2035 1
+ \opt{-ac} & 4.0--16.0 \\
+d2043 24
+a2066 1
+ \section{\cmd{Mkpmap} Troubleshooting}
+d2072 1
+a2072 1
+ {\bf Problem} & {\bf Cause} & {\bf Solution} \\
+d2075 3
+a2077 3
+ \cmd{mkpmap} stores too many photons &
+ Too many emitted photons in distribution prepass &
+ Reduce \opt{-apD} \\
+d2079 4
+a2082 4
+ Number of photons stored differs substantially from specification &
+ Too few photons emitted in distribution prepass; prediction for main
+ pass inaccurate &
+ Increase \opt{-apD} \\
+d2084 4
+a2087 4
+ \cmd{mkpmap} complains about runaway photons &
+ Photons stuck in infinite scattering loop, possibly pathological
+ geometry or materials &
+ Check geometry and materials; increase \opt{-apm} \\
+d2089 3
+a2091 3
+ \cmd{mkpmap} is slow with \lit{source} primitive &
+ \lit{source} emits from scene cube faces &
+ Define photon ports \\
+d2093 4
+a2096 4
+ \cmd{mkpmap} bogs down in light source flux integration &
+ Excessively high probability density function resolution; too many
+ source partitions &
+ Decrease \opt{-dp}; increase \opt{-ds} \\
+d2098 7
+a2104 5
+ \cmd{mkpmap} bails out after too many distribution prepasses &
+ Using caustic photons with non-specular geometry; using volume
+ photons without \lit{mist}; pathological geometry or
+ nonabsorbing materials; light sources see no geometry &
+ Check scene and specify compatible photon types \\
+d2112 1
+a2112 1
+ \section{\cmd{Rpict/Rtrace} Troubleshooting}
+d2118 1
+a2118 1
+ {\bf Problem} & {\bf Cause} & {\bf Solution} \\
+d2120 8
+a2127 15
+ \hline
+
+ Excessive noise in photon irradiance &
+ Bandwidth too low &
+ Increase bandwidth \\
+ \hline
+
+ Excessive blurring in photon irradiance &
+ Bandwidth too high &
+ Decrease bandwidth or increase size of photon map \\
+ \hline
+
+ Excessive noise and blurring in different regions &
+ Bandwidth is fixed &
+ Apply bias compensation for dynamic bandwidth \\
+d2129 38
+a2166 13
+
+ Severe irradiance falloff at polygon edges &
+ Boundary bias due to high bandwidth &
+ Reduce bandwidth or apply bias compensation \\
+ \hline
+
+ Splotchy ambient illumination from global photons &
+ Excessively noisy density estimates; too few ambient samples;
+ irradiance caching too inaccurate &
+ Check density estimate with \opt{-ab} -1, and increase
+ bandwidth if necessary; increase \opt{-ad} if illumination has
+ high variance or contains caustics; increase \opt{-ar} and/or
+ decrease \opt{-aa} \\
+a2167 28
+
+ Direct photon irradiance from modified light source deviates
+ significantly &
+ Probability density function cannot adequately resolve emission
+ distribution; too few source partitions &
+ Increase \opt{-dp}; if distribution varies over surface, decrease
+ \opt{-ds} \\
+ \hline
+
+ Caustics are underestimated for measurement points passed to
+ \cmd{rtrace} which do not lie on scene geometry &
+ No photons in measurement plane; photons are retrieved from
+ distant co-planar objects, resulting in oversized radius &
+ Define virtual receiver surface with \lit{antimatter} material, and
+ specify its modifier with \cmd{mkpmap}'s \opt{-aps} or \opt{-apS}
+ option when building the photon map \\
+ \hline
+
+ \cmd{rpict/rtrace} complains about short photon lookups &
+ Maximum photon search radius too small &
+ Increase \opt{-am} \\
+ \hline
+
+ Everything is slow &
+ User expects too much &
+ Twiddle thumbs \\
+ \hline
+
+@
+
+
+1.30
+log
+@Documented pmapdump's -a option for ASCII point list output
+@
+text
+@d17 2
+a18 2
+\RCS $Revision: 1.29 $
+\RCS $Date: 2019/01/11 15:03:51 $
+d1336 2
+@
+
+
+1.29
+log
+@Fixed typo in sample rcontrib invocation
+@
+text
+@d17 2
+a18 2
+\RCS $Revision: 1.28 $
+\RCS $Date: 2019/01/10 19:57:33 $
+d1261 13
+a1273 8
+ \cmd{mkpmap} as input and sends a RADIANCE scene description of their
+ photon distributions to the standard output. Photons are represented as
+ spheres of material type \lit{glow}. These can be visualised
+ with e.g. \cmd{objview}, \cmd{rpict}, or \cmd{rvu} to assess the
+ location and local density of photons in relation to the scene
+ geometry. No additional light sources are necessary, as the spheres
+ representing the photons are self-luminous.
+
+d1294 2
+a1295 1
+ \cmd{pmapdump} [\opt{-n} \var{nspheres_1}] [\opt{-r} \var{radscale_1}]
+d1301 1
+a1301 1
+ [\opt{-n} \var{nspheres_2}] [\opt{-r} \var{radscale_2}]
+d1304 1
+a1304 2
+ \qquad\qquad\qquad \var{pmap_2} \textbackslash\\
+ \qquad\qquad\qquad \ldots
+d1309 1
+a1309 1
+ of each dump. As such they may be set individually for each photon
+d1312 38
+a1349 9
+ \item{\opt{-n} \var{nspheres}}\\
+ Specifies the number of spheres to dump for the next photon
+ map. The dump is performed by random sampling with
+ \var{nspheres} as target count, hence the number actually
+ output will be approximate. \var{Nspheres} may be followed by
+ a multiplier suffix for convenience, where \var{k = 10^3} and
+ \var{m = 10^6}, although the latter may lead to problems when
+ processing the output geometry with \cmd{oconv}. The
+ default number of spheres is 10k.
+d1358 2
+a1359 15
+ this option. The default value is 1.0.
+
+ \item{\opt{-c} \var{rcol} \var{gcol} \var{bcol}}\\
+ Specifies a custom sphere colour for the next photon map. The
+ colour is specified as an RGB triplet, with each component in the
+ range (0..1]. Without this option, the default colour for the
+ corresponding photon type is used. This option is mutually
+ exclusive with \opt{-f}.
+
+ \item{\opt{-f}[\lit{+}$|$\lit{-}]}\\
+ Boolean switch to colour each sphere according to the corresponding
+ photon's RGB flux instead of a constant colour. Note that the
+ resulting colours can span several orders of magnitude and may
+ require tone mapping with\cmd{pcond} for visualisation. This option
+ is mutually exclusive with \opt{-c}.
+d1362 4
+a1365 4
+ Note that the output may contain many overlapping spheres in areas
+ with high photon density, particularly in caustics. This results in
+ inefficient and slow octree generation with \cmd{oconv}.
+ Generally this can be improved by reducing \var{nspheres} and/or
+d1377 2
+a1378 2
+ \lit{scene\_pmdump.oct}\\
+ \cmd{rvu} \lit{scene\_pmdump.oct}
+d1390 1
+a1390 1
+ \lit{scene\_pmdump.oct}
+d1392 3
+a1394 3
+ Dumps may also be viewed on their own by simply piping the output of
+ \cmd{pmapdump} directly into \cmd{objview} (using the default number of
+ spheres in this example):
+d1398 7
+a1405 1
+
+@
+
+
+1.28
+log
+@Updated pmapdump documentation (new -f option), minor formatting changes in
+figure captions (smalltype, indentation for improved text wrapping).
+@
+text
+@d17 2
+a18 2
+\RCS $Revision: 1.27 $
+\RCS $Date: 2018/12/06 20:39:02 $
+d1429 2
+a1430 1
+ \opt{-M} \var{mods} \opt{-ap} \var{contribpmap} \var{bwidth}
+d1434 1
+a1434 1
+ light source, \var{lsmod} is a file containing the list of light source
+@
+
+
+1.27
+log
+@Wheee!
+@
+text
+@d17 2
+a18 2
+\RCS $Revision: 1.26 $
+\RCS $Date: 2018/12/06 20:34:21 $
+d56 1
+a56 1
+ \item Simplified and more flexible parametrisation of \cmd{pmapdump}.
+d101 3
+a103 2
+ \parbox{0.75\linewidth}
+ {\caption{Photograph of caustic from retroreflecting lamella
+d164 8
+a171 5
+ \includegraphics[width=0.49\linewidth]{cornell-distrib1}
+ \hfill
+ \includegraphics[width=0.49\linewidth]{cornell-distrib2}
+ \parbox{\linewidth}
+ {\caption{Global photon distribution in the Cornell box. Left:
+d176 2
+a177 1
+ pass. Note the concentration of caustic photons on the
+d185 3
+a187 2
+ \parbox{0.8\linewidth}
+ {\caption{Gathering photons via nearest neighbour search. The
+d354 4
+a357 3
+ \includegraphics[width=0.6\linewidth]{precomp}
+ \parbox{0.7\linewidth}
+ {\caption{Directly visualised precomputed global photon
+d392 10
+a401 7
+ \includegraphics[angle=-90, width=0.49\linewidth]
+ {spot-bias-50000-false}
+ \hfill
+ \includegraphics[angle=-90, width=0.49\linewidth]
+ {spot-biascomp-50000-false}
+ \parbox{\linewidth}
+ {\caption{Left: falsecolour rendering of severely biased caustic
+d473 3
+a475 2
+ \parbox{0.9\linewidth}
+ {\caption{Typical daylighting geometry with window as photon
+d545 6
+a550 4
+ \includegraphics[width=0.49\linewidth]{scene-000-pmapdump-100k}
+ \hfill
+ \includegraphics[width=0.49\linewidth]{scene-000-pmapdump-100k-roi}
+ \parbox{\linewidth}{%
+d553 1
+d1039 3
+a1041 2
+ \parbox{0.9\linewidth}
+ {\caption{Caustic photons are visualised at the primary
+d1257 2
+a1258 2
+ location of photons is unclear. The image on the right in figure
+ \ref{fig:cornell_distrib} is an example of a \cmd{pmapdump} output.
+d1262 2
+a1263 1
+ photon distributions to the standard output. This can be visualised
+d1266 2
+a1267 1
+ geometry.
+d1270 3
+a1272 3
+ line and the respective photon type is determined automagically. The
+ different photon types are visualised as colour coded spheres
+ according to the following default schema:
+d1282 4
+a1285 1
+ \opt{-c} option (see below).
+d1290 10
+a1299 5
+ [\opt{-c} \var{rcol_1} \var{gcol_1} \var{ bcol_1}] \var{pmap_1}\\
+ \qquad [\opt{-n} \var{nspheres_2}] [\opt{-r} \var{radscale_2}]
+ [\opt{-c} \var{rcol_2} \var{gcol_2} \var{ bcol_2}]
+ \var{pmap_2} \\
+ \qquad \ldots
+d1330 9
+a1338 1
+ corresponding photon type is used.
+d1342 1
+a1342 1
+ with high photon density, particularly in caustics. This results in
+d1347 1
+a1347 1
+ The following is an example to visualise the distribution of global
+d1351 6
+a1356 6
+ \cmd{pmapdump}
+ \opt{-n} \lit{5k} \opt{-c} \lit{1 0.4 0.4} \lit{global.pm}
+ \textbackslash\\
+ \qquad \opt{-n} \lit{10k} \opt{-c} \lit{0.4 0.4 1} \lit{caustic.pm}
+ \textbackslash\\
+ \qquad $|$ \cmd{oconv} - \lit{scene.rad} $>$ \lit{scene\_pmdump.oct}\\
+d1361 11
+a1371 2
+
+ Alternatively, the dump may be viewed on its own by piping the output of
+d1555 1
+a1555 1
+ \begin{figure}[htb]
+d1578 1
+a1578 1
+ \begin{figure}[htb]
+d1592 1
+a1592 1
+ \begin{figure}[htb]
+d1596 1
+a1596 2
+ \includegraphics[width=0.49\linewidth]{cpc-xsection2}%
+ \\
+d1609 1
+a1609 1
+ \begin{figure}[htb]
+@
+
+
+1.26
+log
+@Documented basic support for *data and *func materials.
+@
+text
+@d17 2
+a18 2
+\RCS $Revision: 1.25 $
+\RCS $Date: 2018/11/21 19:51:20 $
+d60 1
+@
+
+
+1.25
+log
+@Documented -c option for pmapdump
+@
+text
+@d17 2
+a18 2
+\RCS $Revision: 1.24 $
+\RCS $Date: 2018/03/22 16:48:24 $
+d43 3
+d243 10
+a252 5
+ Materials defined by tabulated data or functions such as
+ \lit{plasfunc, metfunc, transfunc, brtdfunc, plasdata, metdata,} and
+ \lit{ transdata} are not supported as they have been largely
+ superseded by the more general \lit{bsdf} material, which uses a
+ highly optimised internal data representation and efficient sampling.
+@
+
+
+1.24
+log
+@Documented -ai/-ae modifier include/exclude options.
+@
+text
+@d17 2
+a18 2
+\RCS $Revision: 1.23 $
+\RCS $Date: 2018/02/06 16:11:20 $
+d1246 1
+a1246 1
+ according to the following schema:
+d1255 2
+d1261 5
+a1265 3
+ \var{pmapfile_1}\\
+ \qquad [\opt{-n} \var{nspheres_2}]
+ [\opt{-r} \var{radscale_2}] \var{pmapfile_2\ldots}
+d1291 6
+d1306 2
+a1307 2
+ and caustic photons superimposed on the scene geometry with 5000 and
+ 10000 spheres, respectively:
+d1309 6
+a1314 3
+ \cmd{pmapdump} \opt{-n} \lit{5k} \lit{global.pm} \opt{-n} \lit{10k}
+ \lit{caustic.pm} $|$ \textbackslash\\
+ \qquad\cmd{oconv} - \lit{scene.rad} $>$ \lit{scene\_pmdump.oct}\\
+@
+
+
+1.23
+log
+@Nu sucky affil
+@
+text
+@d17 2
+a18 2
+\RCS $Revision: 1.22 $
+\RCS $Date: 2018/02/06 16:00:07 $
+d45 1
+d523 1
+a523 1
+ \begin{figure}[htb]
+d761 1
+a761 1
+ Defines a region of interested within which to store photons
+d799 4
+a802 4
+ \item{\opt{-apO} \var{modfile}}\\
+ Read photon port modifiers from the file \var{modfile} as a
+ more convenient alternative to multiple instances of
+ \opt{-apo}.
+d819 1
+a819 1
+ material to act as a dummy (i.e. invisible) sensor surface.
+d842 27
+a868 4
+ \item{\opt{-apS} \var{modfile}}\\
+ Read dummy sensor surface modifiers from the file \var{modfile}
+ as a more convenient alternative to multiple instances of
+ \opt{-aps}.
+d1415 1
+a1415 1
+ dummy receiver surface is defined with \lit{antimatter} and
+d1701 1
+a1701 1
+ Define dummy receiver surface with \lit{antimatter} material, and
+@
+
+
+1.22
+log
+@Updated with -lr, -ld, -api (now accessible), synced with manpages and
+reformatted for better (?) legibility
+@
+text
+@d17 2
+a18 2
+\RCS $Revision: 1.21 $
+\RCS $Date: 2016/05/18 15:11:59 $
+d22 1
+a22 1
+ CC Envelopes and Solar Energy\\
+@
+
+
+1.21
+log
+@Updated with ooC pmap options
+@
+text
+@d17 2
+a18 2
+\RCS $Revision: 1.20 $
+\RCS $Date: 2015/09/24 12:08:41 $
+d44 1
+d48 4
+d55 1
+a55 1
+ \item Revised documentation and (finally) manpages
+d320 1
+d348 1
+d420 1
+d485 62
+a546 1
+
+d693 3
+a695 1
+ rendering. Direct photon maps are useful to determine suitable
+d707 5
+a711 1
+ light source contributions. With this option, \cmd{mkpmap}
+d716 3
+a718 1
+ contributions per light source and direction. Note \cmd{mkpmap}
+d722 3
+a724 1
+ will be ignored. See section \ref{sec:lsContribs} for details
+d731 1
+d741 3
+d750 3
+a752 1
+ \var{nphotons}. Setting this too high may yield more than
+d758 14
+a771 6
+ \item{\opt{-apP} \var{precomp}}\\
+ Photon precomputation factor; this is the fraction of
+ \var{nphotons} global photons to precompute in the range
+ $]0,1]$ when using the \opt{-app} option. The remaining photons
+ are discarded.
+
+d773 3
+a775 7
+ Maximum number of bounces (scattering events) for a photon path
+ before being considered ``runaway'' and terminated. Photons
+ paths are normally terminated via Russian Roulette, depending
+ on their albedo. With unrealistically high albedos, this is
+ not guaranteed, and this option imposes a hard limit to avoid
+ an infinite loop.
+
+d782 1
+a782 1
+
+d789 3
+a791 1
+ emitting light source via an opening, or port. A typical
+d795 3
+a797 3
+ further details. Multiple instances of this option may be
+ specified.
+
+d801 9
+a809 1
+ \opt{-apo}.
+d812 1
+a812 1
+ Seed for the random number generator. This is necessary for
+d814 1
+a814 1
+ and photon map size.
+d823 3
+a825 1
+ as an invisible photon receiver. This is useful when photon
+d830 3
+a832 1
+ underestimation. Note that photons are only deposited when
+d838 3
+d845 1
+a845 1
+
+d877 11
+d889 7
+a895 4
+ \item{\opt{-i} \var{inc}}\\
+ Photon heap size increment; the photon heap is enlarged by this
+ amount when storage overflows during photon distribution. No
+ need to fiddle with this under ordinary circumstances.
+d940 1
+d959 1
+d1064 9
+a1072 9
+ The number of ambient bounces for the indirect diffuse
+ irradiance; setting this to any positive value will include
+ global photon irradiance via \emph{one} ambient bounce (final
+ gather). The result of this ambient bounce is stored in the
+ ambient cache for interpolation, but the global photon map
+ irradiance is not cached for the ambient daughter rays. Setting
+ this to a negative value will not spawn any ambient rays at
+ all, and instead visualises the global photon irradiance
+ directly at the primary ray. This is intended for debugging and
+d1074 7
+a1080 5
+ resulting renderings is poor. If the global photons are
+ precomputed, this produces a Voronoi diagram. As with
+ \radClassic, the default value of 0 disables the ambient
+ component, although caustic photon irradiance is still
+ visualised at the primary ray.
+d1083 27
+a1109 15
+ Loads a photon map from \var{file}, the type of which is
+ automagically identified. The irradiance is then evaluated from
+ the photons depending on their type (global, caustic, volume,
+ direct) using density estimates with a bandwidth of
+ \var{bwidth_1} photons, or the default bandwidth if none is
+ specified (a warning will be issued in this case). Specifying
+ \var{bwidth_2} in addition enables bias compensation for the
+ density estimates with a minimum and maximum bandwidth of
+ \var{bwidth_1} and \var{bwidth_2}, respectively. \var{Bwidth_1}
+ is ignored if specified for precomputed global photons, as the
+ precomputed irradiance from the nearest photon is looked up.
+ \radiance's direct calculation is disabled with direct photons,
+ and only surfaces with diffuse component are accounted for;
+ this is strictly a debugging and validation option, and rarely
+ needed in practice.
+d1112 20
+a1131 13
+ Sets a fixed maximum search radius for photon lookups,
+ defeating its adaptation to the local photon density (see
+ section \ref{sec:maxDist}). The number of photons found within
+ this radius is still limited by the bandwidth. This option may
+ be necessary when the automatic maximum search radius is
+ underestimated for extremely non-uniform photon distributions.
+ Knowledge on the part of the user of the average photon density
+ is assumed; setting the fixed search radius too low may result
+ in short photon lookups in sparsely populated regions, while
+ setting it too high may degrade performance due to superfluous
+ testing of distant photons. Note that
+ this setting applies to \emph{all} photon maps specified with
+ \opt{-ap}.
+d1143 3
+a1145 1
+ cache page. Cache performance is sensitive to this parameter:
+d1157 3
+a1159 1
+ size per parallel process. Cache performance is less
+@
+
+
+1.20
+log
+@Marked contrib pmap as experimental for now, until bugs are resolved.
+@
+text
+@d2 1
+a2 1
+\usepackage{color,graphicx,pslatex,rcs,gensymb}
+d17 2
+a18 2
+\RCS $Revision: 1.19 $
+\RCS $Date: 2015/05/28 10:20:48 $
+d43 1
+a43 2
+ \item EXPERIMENTAL support for light source contributions via
+ \cmd{rcontrib}
+d48 2
+d600 1
+a600 1
+ \item{\opt{-apc} \var{file} \var{nphotons} {\bf (EXPERIMENTAL)}}\\
+d792 5
+d989 28
+d1145 1
+a1145 1
+ \section{Photon Mapping with Light Source Contributions \\(EXPERIMENTAL)}
+d1150 11
+a1160 10
+ climate-based daylight simulation. In this workflow, the scene
+ supplied to \cmd{mkpmap} contains multiple light sources representing
+ different time-dependent positions (e.g. solar elevations depending
+ on season and time of day) of one source, which are handled as
+ aggregate for efficient simulation. The \cmd{rcontrib} tool supplied
+ with \radiance{} can then determine the irradiance for each light
+ source for a given sensor position in the scene, thus efficiently
+ accounting for each source's contribution. In practice, this is done
+ by ``binning'' the resulting irradiance into separate output files
+ for each light source. See the \cmd{rcontrib} man page for details.
+d1303 9
+d1427 1
+@
+
+
+1.19
+log
+@Added acks to testers
+@
+text
+@d17 2
+a18 2
+\RCS $Revision: 1.18 $
+\RCS $Date: 2015/05/28 10:16:24 $
+d43 2
+a44 1
+ \item Support for light source contributions via \cmd{rcontrib}
+d599 1
+a599 1
+ \item{\opt{-apc} \var{file} \var{nphotons}}\\
+d1111 1
+a1111 1
+ \section{Photon Mapping with Light Source Contributions}
+@
+
+
+1.18
+log
+@Revised -am option, removed tacky annual sim plot and replaced it with
+luxtherm renderings from appendix. Extended acks.
+@
+text
+@d14 1
+d17 2
+a18 2
+\RCS $Revision: 1.17 $
+\RCS $Date: 2015/01/29 15:14:34 $
+d1231 3
+@
+
+
+1.17
+log
+@Updated "What's New" section, added example of renderins of contrib photon
+map with Köster LuxTherm in appendix.
+@
+text
+@d16 2
+a17 2
+\RCS $Revision: 1.16 $
+\RCS $Date: 2015/01/14 11:04:13 $
+d42 1
+a42 2
+ \item EXPERIMENTAL support for light source contributions via
+ \cmd{rcontrib}
+d200 1
+a200 1
+ and are only intended as a debugging option.
+d267 1
+a267 1
+ supported primitives are \lit{light, spotlight, glow,} and \lit{
+d272 10
+a281 9
+ The behaviour of a few emitter types deviates from \radClassic. In
+ the case of the \lit{source} primitive there is no geometry to
+ partition; instead, the scene cube faces are partitioned and act as
+ emitters, unless photon \emph{ports\/} are used (see section
+ \ref{sec:ports}). Furthermore, the \lit{glow} primitive acts as
+ regular light source, regardless of its maximum radius for shadow
+ testing, as its ambient contribution is accounted for by the photon map.
+ Virtual sources are disabled with photon mapping, since caustic photons
+ account for this functionality.
+d359 1
+a359 1
+ The algorithm also compensates for boundary bias (darkening at
+d400 1
+a400 3
+ centre of gravity of the photon ``cloud'' or distribution. This is
+ scaled by a user-specified coefficient to correct for grossly skewed
+ distributions if necessary. This simple approach adapts the maximum
+d405 4
+a408 1
+
+d441 1
+a441 1
+ \includegraphics[width=0.8\linewidth]{port3}
+d444 3
+a446 1
+ port for directional light sources.}
+d629 1
+a629 1
+ \item{\opt{-apC} \var{file} \var{nphotons} {\bf (EXPERIMENTAL)}}\\
+d831 8
+a838 4
+ Global photon irradiance is usually visualised via an intermediate
+ ambient bounce (commonly referred to as \emph{final gather} in the
+ literature \cite{Chri00}, see figure \ref{fig:visualisation}) by
+ specifying any positive \opt{-ab} value. This reduces
+d861 1
+a861 1
+ \includegraphics[width=0.75\linewidth]{visualisation}
+d967 14
+a980 7
+ \item{\opt{-am} \var{maxdistcoeff}}\\
+ Sets the coefficient for the maximum search radius for photon map
+ lookups. The search radius is automatically determined based on
+ the average photon distance to the distribution's centre of gravity
+ (see section \ref{sec:maxDist}), and scaled by this coefficient.
+ Increase this value if multiple warnings about short photon lookups
+ are issued.
+d1109 1
+a1109 1
+ \section{Photon Mapping with Light Source Contributions \\(EXPERIMENTAL)}
+d1113 11
+a1123 11
+ computation of light source contributions for climate-based daylight
+ simulation. In this workflow, the scene supplied to \cmd{mkpmap}
+ contains multiple light sources representing different time-dependent
+ positions (e.g. solar elevations depending on season and time of day)
+ of one source, which are handled as aggregate for efficient
+ simulation. The \cmd{rcontrib} tool supplied with \radiance{} can
+ then determine the irradiance for each light source for a given
+ sensor position in the scene, thus efficiently accounting for each
+ source's contribution. In practice, this is done by ``binning'' the
+ resulting irradiance into separate output files for each light
+ source. See the \cmd{rcontrib} man page for details.
+d1126 6
+a1131 5
+ modified photon distribution algorithm via the \opt{-apl} option
+ that ensures each light source contributes roughly the same number of
+ photons, irrespective of its emitted flux. To compensate and maintain
+ energy balance, the flux of each photon is adjusted accordingly,
+ which can raise the variance of the resulting density estimates.
+a1163 20
+
+ Figure \ref{fig:annualSuns} is an example of an annual climate based
+ simulation of the irradiance for an interior ceiling sensor, which
+ required binning the contributions of 365 directional light sources
+ representing the daily sun positions at 1:00pm over an entire year.
+ While the irradiance contributions from the photon map are noisier
+ than those obtained with \radClassic, they more accurately account for
+ glare and light redirection from specular surfaces.
+ \begin{figure}[htb]
+ \centering
+ \includegraphics[width=0.75\linewidth]{referenceRoomA-annualSuns-daily}
+ \parbox{0.8\linewidth}{
+ \caption{
+ \label{fig:annualSuns}
+ Comparison of annual interior ceiling irradiance over 365
+ days at 1:00pm simulated with \radClassic{} (red) and photon
+ map (blue).
+ }
+ }
+ \end{figure}
+d1173 16
+d1190 1
+a1191 1
+
+d1215 1
+a1215 1
+ \section{Acknowledgement}
+d1217 13
+a1229 4
+ \copyright Fraunhofer Institute for Solar Energy Systems, Lucerne
+ University of Applied Sciences and Arts. Development of the \radiance{}
+ photon mapping extension was sponsored by the German Research Foundation
+ (DFG) and the Swiss National Science Foundation (SNF).
+d1231 1
+a1231 2
+
+
+d1345 1
+a1345 15
+ \begin{figure}[p]
+ \centering
+ \includegraphics[width=\linewidth]{koester-luxtherm-half}
+ \parbox{\linewidth}{
+ \caption{
+ \label{fig:koester-luxtherm-half}
+ Retroreflecting blinds at 26 solar angles for a half year
+ (January to June with weekly intervals) rendered with
+ contribution photon map and \cmd{rcontrib}. In each instance
+ the time of day is 1:00pm. Redirection and transmission dominate
+ until March, while retroreflection dominates in the following
+ months.
+ }
+ }
+ \end{figure}
+@
+
+
+1.16
+log
+@Documented mkpmap's new -aps and -apS options for specifying dummy antimatter
+sensor surface, and referenced it in text, notably in troubleshooting table.
+Documented new -n and -r parameters for pmapdump.
+@
+text
+@d16 2
+a17 2
+\RCS $Revision: 1.15 $
+\RCS $Date: 2015/01/08 18:36:02 $
+d19 1
+a19 1
+\title{The \radiance{} Photon Map Manual}
+d34 1
+a34 2
+
+ \section{What's New in Photon Map 4.3?}
+d36 3
+a38 2
+ Development of the \radiance{} photon map has resumed as of november 2013,
+ with the following new features and extended functionality:
+d46 2
+d49 5
+a53 3
+ \item \underline{ATTENTION}: Photon port normals now point
+ \underline{towards the interior} as per \cmd{mkillum}
+ convention!
+d697 3
+a699 2
+ an external light source. Multiple instances of this option may
+ be specified.
+d1170 10
+a1179 1
+
+d1326 15
+a1340 1
+
+@
+
+
+1.15
+log
+@Revised documentation of pmapdump (now supporting number of spheres on
+cmdline), removed bit about mkmpap not overwriting files, as this is
+deprecated with the -fo option.
+@
+text
+@d16 2
+a17 2
+\RCS $Revision: 1.14 $
+\RCS $Date: 2014/12/04 16:44:02 $
+d471 1
+d705 18
+d724 5
+d809 9
+a817 3
+ for. Note that irradiance calculations with \cmd{rtrace} using
+ caustic photons are surface bound; irradiance for points which do not
+ lie on surfaces will therefore be biased.
+d1004 17
+a1020 7
+ distribution in one or more photon map files. The image on the right
+ in figure \ref{fig:cornell_distrib} is an example of a \cmd{pmapdump}
+ output. The output consists of a \radiance{} scene description which
+ can be included in the octree used to generate the photon maps, or
+ used on its own with \cmd{objview}. The photons themselves are simply
+ modelled as spheres, with their colour denoting the photon type as
+ follows:
+d1030 42
+a1071 15
+ \noindent The synopsis for \cmd{pmapdump} is very simple:
+ \begin{quote}
+ \cmd{pmapdump} \var{nspheres} \var{pmapfile_1} \var{pmapfile_2\ldots}
+ \end{quote}
+ where \var{nspheres} is the number of spheres to dump as a subset of
+ the photons in the photon map. \cmd{Pmapdump} supports the same
+ multiplier suffixes for this parameter as \cmd{mkpmap}. The sphere
+ radius is determined automatically based on the average photon
+ distance to the distribution's centre of gravity, as well as the
+ number of spheres, to reduce clustering.
+
+ An arbitrary number of photon maps can be specified on the command
+ line and the respective photon type is determined automagically. A
+ typical application of \cmd{pmapdump} with a global, caustic, and
+ volume photon map would then be:
+d1073 4
+a1076 6
+ \cmd{oconv} \lit{scene.rad} $>$ \lit{scene.oct}\\
+ \cmd{mkpmap} \opt{-apg} \lit{global.pm} \opt{-apc} \lit{caustic.pm}
+ \opt{-apv} \lit{volume.pm} \lit{scene.oct} \\
+ \cmd{pmapdump} \lit{radius} \lit{global.pm} \lit{caustic.pm}
+ \lit{volume.pm} $|$ \textbackslash\\
+ \qquad\cmd{oconv} - \lit{scene.rad} $>$ \lit{scene\_pmdump.oct}
+d1081 6
+a1086 15
+ The \cmd{pmapdump} utility can be used for illustrative purposes to
+ understand the photon map algorithm, but more importantly, it can be
+ used to debug scenes in which the location of photons is unclear.
+
+ Note that \cmd{pmapdump} can generate many overlapping spheres in
+ areas with high photon density, particularly in caustics. This
+ results in inefficient and slow octree generation with \cmd{oconv},
+ requiring the use of the \opt{-n} or \opt{-r} options for the latter.
+ Generally this can be avoided by reducing the number of spheres.
+
+ This problem is aggravated with large photon maps, hence it is
+ advisable to limit the size of the dumped photon maps. We found it
+ impractical to visualise more than 10000 photons, which is usually
+ enough to gain an insight into the photon distribution.
+
+d1088 1
+d1181 4
+a1184 1
+ \cmd{rtrace} points which do not lie on a surface.
+d1403 1
+d1405 1
+a1405 1
+ \hline
+d1410 1
+d1415 1
+d1420 1
+d1425 8
+a1432 6
+ Splotchy ambient illumination from global photons &
+ Excessively noisy density estimates; too few ambient samples;
+ irradiance caching too inaccurate &
+ Check density estimate with \opt{-ab} -1, and increase bandwidth if
+ necessary; increase \opt{-ad} if illumination has high variance or
+ contains caustics; increase \opt{-ar} and/or decrease \opt{-aa} \\
+d1434 1
+d1442 10
+d1456 1
+d1461 1
+@
+
+
+1.14
+log
+@Update with new contrib pmap parameter -apC,
+new max search radius coeff -am for rpict/rtrace,
+Renamed mkpmap's -apf to -apP (global photon precomp factor).
+Moved sample renderings to appendix.
+Some rewording.
+@
+text
+@d16 2
+a17 2
+\RCS $Revision: 1.13 $
+\RCS $Date: 2014/10/31 12:58:12 $
+a479 7
+ If a photon map with the specified file name already exists,
+ \cmd{mkpmap} aborts without overwriting. The need for this protection
+ stems from the frustration of having photon maps from very long
+ previous distribution passes obliterated by the command line history!
+ There is no ``clobber'' option; the files must be renamed or removed
+ by hand. This is an annoyance, but better safe than sorry...
+
+d978 3
+a980 3
+ used directly with \cmd{objview}. The photons themselves are simply
+ modelled as spheres of a user defined radius, with their colour
+ denoting the photon type as follows:
+d992 9
+a1000 2
+ \cmd{pmapdump} \var{radius} \var{pmapfile_1} \var{pmapfile_2\ldots}
+ \end{quote}
+d1024 1
+a1024 1
+ Generally this can be avoided by reducing the sphere radius.
+@
+
+
+1.13
+log
+@Modified hyperref options
+@
+text
+@d16 2
+a17 2
+\RCS $Revision: 1.12 $
+\RCS $Date: 2014/10/27 14:39:00 $
+d45 1
+a45 1
+ \item Adaptive maximum search radius for photon lookups
+d116 1
+a116 1
+ absorbtion or leakage (if it leaves the scene), and a new photon is
+d203 1
+a203 1
+ augmentented by a photon map density estimate, but the direct and
+d256 1
+a256 1
+ of mist, e.g. a mist boundary for the entire scene. All this ust to
+d377 2
+a378 1
+ \subsubsection{Adaptive Initial Search Radius}
+d380 1
+a380 1
+ The photon lookup algorithm uses an maximum search radius to
+d391 1
+a391 1
+ low number of photons will render it unstable due to excessive noise.
+d395 7
+a401 8
+ radius is therefore adapted using statistics from previous photon map
+ lookups. This is based on an estimate derived from the ratio of the
+ actual number of photons found and the target bandwidth as specified
+ by the user. If this ratio is less than $\frac{1}{2}$, the photon
+ lookup is considered unreliable, and restarted with a doubled search
+ radius. The maximum search radius is adjusted to accommodate the
+ target bandwidth and is averaged with the previous value using
+ non-uniform weights to prevent excessive fluctuation.
+d463 1
+a463 1
+ parametrsiation on behalf of the user. A more general approach using
+d579 1
+a579 1
+ \opt{-apd}$|$\opt{-apl}$|$\opt{-app}
+d628 1
+a628 1
+ \item{\opt{-apl} \var{file} \var{nphotons} {\bf (EXPERIMENTAL)}}\\
+d631 12
+a642 9
+ \var{file}. This is a special case of the global photon map
+ intended for calculating light source contributions with
+ \cmd{rcontrib}. With this option, \cmd{mkpmap} uses a modified
+ photon distribution algorithm that ensures all light sources
+ contribute approximately the same number of photons. Each
+ photon indexes a primary hitpoint, incident direction, and
+ emitting light source which can be used to bin contributions
+ per light source and direction. See section \ref{sec:lsContribs}
+ for details on using photon maps with \cmd{rcontrib}.
+d647 1
+a647 1
+ \opt{-apf} option, see below), and output to \var{file}.
+d669 1
+a669 1
+ \item{\opt{-apf} \var{precomp}}\\
+d712 1
+a712 1
+ \item{\opt{-bv} [\lit{+}$|$\lit{-}]}\\
+d738 6
+d769 6
+a774 4
+ At least one of the \opt{-apg}, \opt{-apc}, \opt{-apv}, \opt{-apd}, or
+ \opt{-app} options must be specified. These can be combined subject
+ to compatibility with the materials used in the scene.
+
+d876 1
+a876 1
+ warning is issued if the octree is newer than the photon map,
+d879 1
+a879 1
+ A physically valid simulation (assuming specular and diffuse
+d892 5
+a896 5
+ As with \radClassic, the \opt{-ad}, \opt{-ar}, and \opt{-aa} parameters
+ may need modification in some cases to improve the rendering quality.
+ Some parameters are adopted from \radClassic{} with extended semantics
+ in conjunction with photon maps. The \cmd{rpict} photon mapping options
+ are as follows:
+d915 1
+a915 1
+ \item{\opt{-ap} \var{file} \var{bwidth_1} \var{[bwidth_2]}}\\
+d920 19
+a938 9
+ \var{bwidth_1} photons. Specifying \var{bwidth_2} in addition
+ enables bias compensation for the density estimates with a
+ minimum and maximum bandwidth of \var{bwidth_1} and
+ \var{bwidth_2}, respectively. \var{Bwidth_1} is ignored for
+ precomputed global photons, as the precomputed irradiance from
+ the nearest photon is looked up. \radiance's direct calculation
+ is disabled with direct photons, and only surfaces with diffuse
+ component are accounted for; this is stricly a debugging and
+ validation option, and rarely needed in practice.
+d950 4
+a953 4
+ \var{command}\\
+ \var{N_p} photons\\
+ \var{[\phi_r, \phi_g, \phi_b]} avg watts / photon\\
+ FORMAT=\var{format},
+d957 1
+a957 1
+ \item \var{command} is the \cmd{mkpmap} command line used to build
+d961 2
+a962 2
+ the RGB colour channels, and
+ \item \var{format} identifies the photon map type, which is one of
+d967 3
+a969 2
+ \item \lit{Radiance\_Volume\_Photon\_Map}, or
+ \item \lit{Radiance\_Direct\_Photon\_Map}
+d971 1
+d994 1
+d1003 1
+a1003 1
+ typical application of \cmd{pmapdump} with a gobal, caustic, and
+d1026 4
+a1029 4
+ This problem is aggravated with large photon maps,
+ hence restraint is advised concerning the size of the dumped photon
+ maps. We found it impractical to dump more than 10000 photons, which
+ is usually enough to gain an insight into the photon distribution.
+d1057 2
+a1058 2
+ incident directions, and emitting light sources, which are indexed
+ by each photon which is spawned along the primary ray's path. This
+d1060 4
+a1063 3
+ photon map, as well as apply an additional binning function to the
+ incident direction as documented in the \cmd{rcontrib} man page,
+ e.g. to identify contributions from individual sky patches.
+d1067 6
+a1072 5
+ currently not supported, although the same effect may be obtained by
+ setting the light source radiance to 1. Furthermore, using fewer
+ photons than there are light sources for photon density estimates
+ results in omitted contributions, thus \cmd{rcontrib} clamps the
+ bandwidth accordingly.
+d1077 1
+a1077 1
+ \cmd{mkpmap} \opt{-apl} \var{contribpmap} \var{nphotons}
+d1092 2
+a1093 2
+ The irradiance contributions obtained from the photon map noisier
+ than those obtained with \radClassic, but can accurately account for
+d1138 35
+d1174 2
+a1175 1
+ \pagebreak
+a1252 35
+
+ \begin{thebibliography}{99}
+ \bibitem[Ward94]{Ward94}
+ Gregory J.~Ward: ``The \radiance{} Lighting Simulation and
+ Rendering System''. Proceedings SIGGRAPH~'94, July~1994
+ \bibitem[Ward98]{Ward98}
+ Greg Ward Larson and Rob Shakespeare: ``Rendering with
+ \radiance''. Morgan Kaufmann, San Francisco, 1998
+ \bibitem[Jens96]{Jens96}
+ Henrik Wann Jensen: ``Global Illumination using Photon Maps''.
+ Rendering Techniques '96, Eds. X.~Pueyo and P.~Schr\"oder,
+ Springer-Verlag, 1996
+ \bibitem[Jens97]{Jens97}
+ Henrik Wann Jensen: ``Rendering Caustics on Non-Lambertian
+ Surfaces''. Computer Graphics Forum, vol.~16~(1), March~1997
+ \bibitem[Jens98]{Jens98}
+ Henrik Wann Jensen and Per H.~Christensen: ``Efficient
+ Simulation of Light Transport in Scenes with Participating
+ Media using Photon Maps''. Proceedings SIGGRAPH~'98, July~1998
+ \bibitem[Jens00]{Jens00}
+ Henrik Wann Jensen and Niels J{\o}rgen Christensen: ``A
+ Practical Guide to Global Illumination using Photon Maps''.
+ SIGGRAPH~2000 Course Notes~8, July~2000
+ \bibitem[Bent75]{Bent75}
+ Jon Louis Bentley: ``Multidimensional Binary Search Trees
+ Used for Associative Searching''. CACM 18(9), 1975
+ \bibitem[Chri00]{Chri00}
+ Per Christensen: ``Faster Photon Map Global Illumination''.
+ Journal of Graphics Tools, vol.~4~(3), April~2000
+ \bibitem[Schr03]{Schr03}
+ Roland Schregle: ``Bias Compensation for Photon Maps''.
+ Computer Graphics Forum, vol.~22~(4), December~2003
+ \end{thebibliography}
+
+
+a1254 1
+ \appendix
+d1264 1
+a1264 1
+ \begin{table}[!htb]
+d1272 3
+a1274 3
+ \opt{-apD} & 0.1--10 \\
+ \opt{-apf} & 0.25--0.5 \\
+ \opt{-apm} & 5000--10000 \\
+d1284 1
+a1286 1
+ \caption{Parameter ranges for \cmd{mkpmap} and \cmd{rpict}.}
+d1291 2
+a1292 1
+ \section{Troubleshooting}
+d1294 1
+a1294 1
+ \begin{table}[!htb]
+d1296 1
+a1296 1
+ \begin{tabular}{|p{0.3\linewidth}|p{0.3\linewidth}|p{0.3\linewidth}|}
+d1305 1
+a1305 1
+ Number of stored photons differs substantially from specification &
+d1310 35
+d1356 1
+a1356 12
+ \hline
+ \end{tabular}
+ \caption{Troubleshooting chart.}
+ \end{table}
+
+ \begin{table}[!htb]
+ \centering
+ \begin{tabular}{|p{0.3\linewidth}|p{0.3\linewidth}|p{0.3\linewidth}|}
+ \hline
+ {\bf Problem} & {\bf Cause} & {\bf Solution} \\
+ \hline
+ \hline
+a1367 5
+ \cmd{mkpmap} complains about runaway photons &
+ Photons stuck in infinite scattering loop, possibly pathological
+ geometry or materials &
+ Check geometry and materials; increase \opt{-apm} \\
+ \hline
+d1374 4
+a1378 15
+ \cmd{mkpmap} is slow with \lit{source} primitive &
+ \lit{source} emits from scene cube faces &
+ Define photon ports \\
+ \hline
+ \cmd{mkpmap} bogs down in light source flux integration &
+ Excessively high probability density function resolution; too many
+ source partitions &
+ Decrease \opt{-dp}; increase \opt{-ds} \\
+ \hline
+ \cmd{mkpmap} bails out after too many distribution prepasses &
+ Using caustic photons with non-specular geometry; using volume
+ photons without \lit{mist}; pathological geometry or
+ nonabsorbing materials; light sources see no geometry &
+ Check scene and specify compatible photon types \\
+ \hline
+a1383 1
+ \caption{Troubleshooting chart (continued).}
+d1387 1
+@
+
+
+1.12
+log
+@Fixed typos, moved references before appendix.
+@
+text
+@d2 3
+a4 2
+\usepackage{color,graphicx,pslatex,rcs,hyperref,gensymb}
+
+d16 2
+a17 2
+\RCS $Revision: 1.11 $
+\RCS $Date: 2014/10/21 19:03:46 $
+d47 3
+@
+
+
+1.11
+log
+@Tagged light source contribs as experimental in heading,
+extended section on global photon visualisation
+@
+text
+@d15 2
+a16 2
+\RCS $Revision: 1.10 $
+\RCS $Date: 2014/10/21 18:40:30 $
+d62 2
+a63 2
+ Particularly the phenomenon of caustics poses a serious problem for
+ \radiance. Caustics are the bright, iridescent highlights on diffuse
+d65 1
+a65 1
+ \ref{fig:caustic}) shows an example of a caustic from a retroreflecting
+d128 8
+a135 8
+ the indirect illumination for a point on a surface or within a
+ volume is determined by finding a number of nearest photons to the
+ point. The irradiance is then proportional to the photon density
+ (figure \ref{fig:nnsearch}), hence the process is known as \emph{
+ density estimation\/} in the statistics literature. The number of
+ photons gathered defines the area covered by the density estimate,
+ and will be referred to as the \lit{bandwidth} of the density
+ estimate for the rest of this document.
+d171 4
+a174 3
+ \cmd{rpict} also implies its siblings \cmd{rtrace} and \cmd{rvu}.}
+ for the actual rendering and photon gathering. The general photon mapping
+ workflow can therefore be summarised as:
+d196 5
+a200 6
+ The stock \radiance{} functionality (referred to here as \radClassic) is
+ preserved in \cmd{rpict} if no command line arguments pertaining to the
+ photon map are given. When rendering with the photon map, the ambient
+ calculation is augmentented by a photon map density estimate, but the
+ direct and indirect specular components are still delivered by
+ \radClassic.
+d224 5
+a228 5
+ Materials for user defined BRDFs / BTDFs such as \lit{plasfunc,
+ metfunc, transfunc, brtdfunc, plasdata, metdata,} and \lit{
+ transdata} are not supported as they have been largely superseded
+ by the more general \lit{bsdf} material, which uses a highly
+ optimised internal representation and efficient sampling.
+d252 2
+a253 2
+ of mist, e.g. a mist boundary for the entire scene. Just to make life
+ more interesting.
+d269 5
+a273 3
+ \ref{sec:ports}). Furthermore, the \lit{glow} primitive acts as a
+ regular light source, and Virtual sources are disabled with the
+ photon map, since caustic photons already account for these effects.
+d334 3
+a336 3
+ and bias. Setting this too low may result in excessive noise. Setting
+ this too high may result in excessive blurring and local bias in the
+ solution.
+d381 1
+a381 1
+ An approriately sized maximum search radius will eliminate many
+d387 1
+d389 9
+a397 11
+ changes dynamically with the local photon density.
+
+ The maximum search radius is therefore adapted using statistics from
+ previous photon map lookups. This is based on an estimate derived
+ from the ratio of the actual number of photons found and the target
+ bandwidth as specified by the user. If this ratio is less than
+ $\frac{1}{2}$, the photon lookup is considered unreliable, and
+ restarted with a doubled search radius. The maximum search radius is
+ adjusted to accommodate the target bandwidth and is averaged with the
+ previous value using non-uniform weights to prevent excessive
+ fluctuation.
+d458 5
+a462 4
+ not compromise accuracy for performance, assuming correct parametrsiation
+ on behalf of the user. A forward raytracer using Markov Chain techniques
+ to automatically find viable photon paths without user intervention
+ may materialise one day. {\tiny (Or not. Probably not.)}
+d469 1
+a469 1
+ performas a forward raytracing pass to generate a photon map of each
+d472 2
+a473 2
+ neighbour queries required for the gathering step. The data structure
+ is written to a portable binary file for subsequent use by
+d507 7
+a513 7
+ specified number of distribution prepass attempts if any of the
+ specified photon maps are still empty. This is usually an indication
+ of a scene anomaly or an incompatible photon map specification. This
+ is intended as a convenience for the user; without it, \cmd{mkpmap}
+ would end up in an infinite loop. It is nevertheless the user's
+ responsibility to specify photon map types compatible with the
+ materials and to check the validity of the scene.
+d576 1
+a576 1
+ \var{pmapFile} \var{nphotons} [\var{bwidth}]
+d588 1
+a588 1
+ scattering, on sur‐ faces with a diffuse component. This is the
+d595 2
+a596 2
+ This is a sub‐ set of the global photon map intended for
+ direct visualisation at primary rays, This accounts for all
+d605 2
+a606 2
+ for indirect inscattering in participating media such as mist
+ and complement the direct inscattering computed by
+d618 5
+a622 5
+ light sources with modifiers. This can provide a visual check
+ for the resolution of the probability density function used for
+ photon emission in conjunction with complex output
+ distributions. It can also serve as a validation tool for
+ comparison with \radiance's direct component.
+d629 1
+a629 1
+ \cmd{rcontrib}. With this option, mkpmap uses a modified
+d632 1
+a632 1
+ photon indexes a primary hit‐ point, incident direction, and
+d634 2
+a635 1
+ per light source and direction. See section \ref{sec:lsContribs}.
+d669 1
+a669 1
+ Maximum number of bounces (scattering evens) for a photon path
+d673 1
+a673 1
+ not guaranteed, and this options imposes a hard limit to avoid
+d679 1
+a679 1
+ rarely needed as a an aborted prepass indicates an anomaly in
+d696 1
+a696 1
+ Read photon port modifiers from the file \var{modFile} as a
+d710 7
+a716 9
+ \item{\opt{-dp sampleres}}\\
+ Resolution for sampling the spatial emission distribution of a
+ modified light source (e.g. via \lit{brightfunc}), in samples per
+ steradian. This is required for numerically integrating the flux
+ emitted by the light source and for constructing a probability
+ density function for photon emission. The accuracy of photon
+ emission from modified sources therefore depends on this
+ parameter. This parameter may need increasing with complex
+ emission distributions in combination with caustics.
+d719 7
+a725 6
+ Light source partition size ratio; a light source object is
+ spatially partitioned to distribute the photon emission over
+ its surface. This parameter specifies the ratio of the size
+ (per dimension) of each partition to the scene cube, and may
+ need increasing for modified light sources (e.g. via
+ \lit{brightfunc}) with high spatial variation.
+d764 4
+a767 3
+ The modified \cmd{rpict} rendering tool takes the photon map generated by
+ \cmd{mkpmap} and perform the photon gathering and density estimation.
+ Without photon map functionality enabled, it behaves like \radClassic.
+d774 6
+a779 5
+ observer, or via specular reflections. Virtual light sources are
+ disabled with the caustic photon map, since these effects are already
+ accounted for. Note that irradiance calculations with \cmd{rtrace}
+ using caustic photons are surface bound. Irradiance for points which
+ do not lie on surfaces will therefore be biased.
+d787 5
+a791 5
+ literature \cite{Chri00}, see figure \ref{fig:visualisation}) using
+ the \opt{-ab 1} option. This reduces noise in the density estimates
+ from the ambient daughter rays, and the resulting ambient irradiance
+ is cached and interpolated as in \radClassic, unless explicitly
+ disabled with the \opt{-aa 0} option.
+d816 2
+a817 1
+ global photon contribution (\emph{final gather}).}
+d847 1
+a847 1
+ illumination there is no reliable way of separating it from noise. As
+d849 1
+a849 2
+ to judge the quality of the bias compensation and its
+ parametrisation.
+d864 3
+a866 5
+ The multitude of options can be daunting for beginners, and it helps
+ to start with a basic set of parameters upon which to refine if
+ necessary. A physically valid simulation (assuming specular and
+ diffuse materials) using the photon map is obtained with the
+ following basic parameters:
+d869 2
+a870 1
+ \opt{-apc} \var{causticpmap} \var{nphotons} \var{octree}\\
+d875 2
+a876 1
+ \end{verse}
+d880 2
+a881 3
+ in conjunction with photon maps.
+
+ \noindent The \cmd{rpict} photon mapping options are as follows:
+d940 1
+a940 1
+ \item \lit{Radiance\_PreComp\_Global\_Photon\_Map},
+d958 2
+a959 2
+ used directly with \cmd{objview}. The photons themselves are modeled
+ as simple spheres of a user defined radius, with their colour
+d979 4
+a982 4
+ \cmd{mkpmap} \opt{-apg} \lit{pmap.gpm} \opt{-apc} \lit{pmap.cpm}
+ \opt{-apv} \lit{pmap.vpm} \lit{scene.oct} \\
+ \cmd{pmapdump} \lit{radius} \lit{pmap.gpm} \lit{pmap.cpm}
+ \lit{pmap.vpm} $|$ \textbackslash\\
+d996 3
+a998 2
+ Similar problems occur if the sphere radius is too small compared to
+ the scene extent. This problem is aggravated with large photon maps,
+d1000 1
+a1000 1
+ maps. We found it impractical to dump more than 50000 photons, which
+d1022 1
+a1022 1
+ modified photon distribution algorithm via the \opt{-apl} options
+d1040 3
+a1042 3
+ photons than there are light sources for density estimation results
+ in omitted contributions from some light sources, thus \cmd{rcontrib}
+ clamps the bandwidth accordingly.
+d1180 2
+a1181 1
+ a dynamic bandwidth 50--500 of photons with bias compensation.
+d1185 2
+d1188 34
+a1221 1
+
+d1253 1
+a1253 1
+ \var{bwidth_2} & 200--400 \\
+a1260 1
+ \clearpage
+d1291 11
+d1305 1
+a1305 1
+ \hline
+d1312 1
+a1312 1
+ \hline
+a1324 11
+ \end{tabular}
+ \caption{Troubleshooting chart.}
+ \end{table}
+
+ \begin{table}[!htb]
+ \centering
+ \begin{tabular}{|p{0.3\linewidth}|p{0.3\linewidth}|p{0.3\linewidth}|}
+ \hline
+ {\bf Problem} & {\bf Cause} & {\bf Solution} \\
+ \hline
+ \hline
+d1333 1
+a1333 1
+ \hline
+a1346 35
+
+
+
+ \begin{thebibliography}{99}
+ \bibitem[Ward94]{Ward94}
+ Gregory J.~Ward: ``The \radiance{} Lighting Simulation and
+ Rendering System''. Proceedings SIGGRAPH~'94, July~1994
+ \bibitem[Ward98]{Ward98}
+ Greg Ward Larson and Rob Shakespeare: ``Rendering with
+ \radiance''. Morgan Kaufmann, San Francisco, 1998
+ \bibitem[Jens96]{Jens96}
+ Henrik Wann Jensen: ``Global Illumination using Photon Maps''.
+ Rendering Techniques '96, Eds. X.~Pueyo and P.~Schr\"oder,
+ Springer-Verlag, 1996
+ \bibitem[Jens97]{Jens97}
+ Henrik Wann Jensen: ``Rendering Caustics on Non-Lambertian
+ Surfaces''. Computer Graphics Forum, vol.~16~(1), March~1997
+ \bibitem[Jens98]{Jens98}
+ Henrik Wann Jensen and Per H.~Christensen: ``Efficient
+ Simulation of Light Transport in Scenes with Participating
+ Media using Photon Maps''. Proceedings SIGGRAPH~'98, July~1998
+ \bibitem[Jens00]{Jens00}
+ Henrik Wann Jensen and Niels J{\o}rgen Christensen: ``A
+ Practical Guide to Global Illumination using Photon Maps''.
+ SIGGRAPH~2000 Course Notes~8, July~2000
+ \bibitem[Bent75]{Bent75}
+ Jon Louis Bentley: ``Multidimensional Binary Search Trees
+ Used for Associative Searching''. CACM 18(9), 1975
+ \bibitem[Chri00]{Chri00}
+ Per Christensen: ``Faster Photon Map Global Illumination''.
+ Journal of Graphics Tools, vol.~4~(3), April~2000
+ \bibitem[Schr03]{Schr03}
+ Roland Schregle: ``Bias Compensation for Photon Maps''.
+ Computer Graphics Forum, vol.~22~(4), December~2003
+ \end{thebibliography}
+@
+
+
+1.10
+log
+@Added sample renderings and documented light source contribs.
+@
+text
+@d15 2
+a16 2
+\RCS $Revision: 1.9 $
+\RCS $Date: 2014/10/20 17:40:30 $
+d36 1
+a36 1
+ Development on the \radiance{} photon map has resumed as of november 2013,
+d781 23
+a803 8
+ Global photons are visualised via an intermediate ambient bounce
+ (commonly referred to as \emph{final gather} in the literature),
+ which reduces noise (figure \ref{fig:visualisation}). An exception to
+ the rule applies when specifying a negative number of ambient bounces
+ \opt{-ab}, which enables debugging by directly visualising the global
+ photon irradiance. Ambient values (specified with \opt{-av}) are
+ ignored. The global photon irradiance may be optionally precomputed
+ by \cmd{mkpmap} to speed things up at the expense of accuracy.
+d1001 1
+a1001 1
+ \section{Photon Mapping with Light Source Contributions}
+d1004 12
+a1015 11
+ The \radiance{} photon map has been adapted to facilitate the computation
+ of light source contributions for climate-based daylight simulation. In
+ this workflow, the scene supplied to \cmd{mkpmap} contains multiple light
+ sources representing different time-dependent positions (e.g. solar elevations
+ depending on season and time of day) of one source, which are handled
+ as aggregate for efficient simulation. The \cmd{rcontrib} tool supplied
+ with \radiance{} can then determine the irradiance for each
+ light source for a given sensor position in the scene, thus efficiently
+ accounting for each source's contribution. In practice, this is done by
+ ``binning'' the resulting irradiance into separate output files for each
+ light source. See the \cmd{rcontrib} man page for details
+@
+
+
+1.9
+log
+@Documented new parameters, added "what's new" section, reformatted
+with macros for variables, options, and literals.
+@
+text
+@d2 1
+a2 1
+\usepackage{color,graphicx,pslatex,rcs}
+d15 2
+a16 2
+\RCS $Revision$
+\RCS $Date$
+d310 1
+a310 2
+ precomputed irradiance can be used directly (figure
+ \ref{fig:finalgather}).
+d319 1
+a319 1
+ \includegraphics[width=0.6\linewidth]{finalgather1}
+d323 1
+a323 1
+ \label{fig:finalgather}}
+d348 1
+d351 1
+a351 1
+ at a price, at it does impact performance noticeably.
+d404 1
+a404 1
+ challenge; there is no local geometry associated with these distant
+d413 1
+a413 1
+ To aggravate the situation, distant sources are often used to render
+d427 1
+a427 1
+ dramatically, resulting in a dramatic increase in performance.
+d431 1
+a431 1
+ \includegraphics[width=0.8\linewidth]{port1}
+d434 1
+a434 1
+ port for distant sources.}
+d443 1
+a443 1
+ incident flux from distant sources is evaluated at each port and the
+d464 1
+a464 6
+ \section{Photon Mapping with Light Source Contributions}
+ \label{sec:lsContribs}
+
+
+
+ \section{Photon Distribution with \cmd{mkpmap}}
+d467 6
+a472 5
+ generates a photon map of each specified type for the scene. The
+ photons are stored in a space subdividing data structure
+ \cite{Bent75} which facilitates nearest neighbour queries required
+ for the gathering step. The data structure is written to a portable
+ binary file for subsequent use by \cmd{rpict}.
+d544 2
+a545 1
+ \var{N_v} volume, \var{N_d} direct, \var{P}\% after \var{T} hours,
+d760 140
+d986 72
+a1057 1
+ \section{Photon Gathering with \cmd{rpict}}
+a1058 3
+ The modified \cmd{rpict} rendering tool takes the photon map generated by
+ \cmd{mkpmap} and perform the photon gathering and density estimation.
+ Without photon map functionality enabled, it behaves like \radClassic.
+d1060 1
+d1062 1
+d1064 8
+a1071 1
+ \subsection{Caustic Photon Visualisation}
+d1073 2
+a1074 6
+ Caustic photons are visualised at points seen directly by the
+ observer, or via specular reflections. Virtual light sources are
+ disabled with the caustic photon map, since these effects are already
+ accounted for. Note that irradiance calculations with \cmd{rtrace}
+ using caustic photons are surface bound. Irradiance for points which
+ do not lie on surfaces will therefore be biased.
+d1076 1
+a1078 1
+ \subsection{Global Photon Visualisation}
+d1080 1
+a1080 19
+ Global photons are visualised via an intermediate ambient bounce
+ (commonly referred to as \emph{final gather} in the literature),
+ which reduces noise (figure \ref{fig:visualisation}). An exception to
+ the rule applies when specifying a negative number of ambient bounces
+ \opt{-ab}, which enables debugging by directly visualising the global
+ photon irradiance. Ambient values (specified with \opt{-av}) are
+ ignored. The global photon irradiance may be optionally precomputed
+ by \cmd{mkpmap} to speed things up at the expense of accuracy.
+
+ \begin{figure}[!htb]
+ \centering
+ \includegraphics[width=0.75\linewidth]{visualisation}
+ \parbox{0.9\linewidth}
+ {\caption{Caustic photons are visualised at the primary
+ ray, while an intermediate stratified sampling
+ step is used between the primary ray and the
+ global photon contribution (\emph{final gather}).}
+ \label{fig:visualisation}}
+ \end{figure}
+d1082 4
+a1087 2
+ \subsection{Progress Report}
+ \label{sec:rpict.report}
+d1089 39
+a1127 19
+ Bias compensation statistics are provided in the progress report with the
+ standard \opt{-t} option. The statistics for each photon type
+ subject to bias compensation are reported as follows:
+ \begin{quote}
+ \var{N_{min}/N_{max}/N_{avg}} \var{ptype},
+ (\var{\epsilon_{min}/\epsilon_{max}/\epsilon_{rms}} error),
+ \end{quote}
+ where:
+ \begin{itemize}
+ \item \var{N_{min}}, \var{N_{max}}, and \var{N_{avg}} are the minimum,
+ maximum, and average number of photons used per density
+ estimate, respectively
+ \item \var{ptype} is one of \lit{global}, \lit{caustic}, \lit{volume},
+ or \lit{direct}.
+ \item \var{\epsilon_{min}}, \var{\epsilon_{max}}, and
+ \var{\epsilon_{rms}} are the minimum, maximum, and RMS (root mean
+ square) estimated relative errors in the resulting irradiance,
+ respectively.
+ \end{itemize}
+d1129 37
+a1165 5
+ Since bias cannot be determined without knowing the actual
+ illumination there is no reliable way of separating it from noise. As
+ such, the error estimates are approximate and serve as a rough guide
+ to judge the quality of the bias compensation and its
+ parametrisation.
+d1167 10
+d1178 24
+a1202 1
+ \subsection{Command Line Arguments for \cmd{rpict}}
+a1203 8
+ The photon mapping backward pass is disabled by default and must be
+ explicitly enabled using the \opt{-ap} option. The different photon
+ map types may be renderered independently or in combination. Note
+ that rendering only the global or caustic photon map does not take
+ all light transport paths into consideration at the primary hitpoint.
+ Since modifying the lights or geometry invalidates the photon map, a
+ warning is issued if the octree is newer than the photon map,
+ referring to the latter as ``stale''.
+d1205 2
+a1206 51
+ The multitude of options can be daunting for beginners, and it helps
+ to start with a basic set of parameters upon which to refine if
+ necessary. A physically valid simulation (assuming specular and
+ diffuse materials) using the photon map is obtained with the
+ following basic parameters:
+ \begin{verse}
+ \cmd{mkpmap} \opt{-apg} \var{globalpmap} \var{nphotons}
+ \opt{-apc} \var{causticpmap} \var{nphotons} \var{octree}\\
+ \cmd{rpict} \opt{-ap} \var{globalpmap} \var{bwidth}
+ \opt{-ap} \var{causticpmap} \var{bwidth} \opt{-ab} 1
+ \opt{-vf} \var{view} \textbackslash\\
+ \qquad \var{octree}
+ \end{verse}
+ As with \radClassic, the \opt{-ad}, \opt{-ar}, and \opt{-aa} parameters
+ may need modification in some cases to improve the rendering quality.
+ Some parameters are adopted from \radClassic{} with extended semantics
+ in conjunction with photon maps.
+
+ \noindent The \cmd{rpict} photon mapping options are as follows:
+ \begin{description}
+ \item{\opt{-ab} \var{nbounces}}\\
+ The number of ambient bounces for the indirect diffuse irradiance;
+ setting this to any positive value will include global photon
+ irradiance via \emph{one} ambient bounce (final gather). The
+ result of this ambient bounce is stored in the ambient cache for
+ interpolation, but the global photon map irradiance is not cached
+ for the ambient daughter rays. Setting this to a negative value
+ will not spawn any ambient rays at all, and instead visualises the
+ global photon irradiance directly at the primary ray. This is
+ intended for debugging and checking the irradiance distribution,
+ as the quality of the resulting renderings is poor. If the global
+ photons are precomputed, this produces a Voronoi diagram. As with
+ \radClassic, the default value of 0 disables the ambient
+ component, although caustic photon irradiance is still visualised
+ at the primary ray.
+
+ \item{\opt{-ap} \var{file} \var{bwidth_1} \var{[bwidth_2]}}\\
+ Loads a photon map from \var{file}, the type of which is
+ automagically identified. The irradiance is then evaluated from
+ the photons depending on their type (global, caustic, volume,
+ direct) using density estimates with a bandwidth of \var{bwidth_1}
+ photons. Specifying \var{bwidth_2} in addition enables bias compensation
+ for the density estimates with a minimum and maximum bandwidth of
+ \var{bwidth_1} and \var{bwidth_2}, respectively. \var{Bwidth_1} is
+ ignored for precomputed global photons, as the precomputed
+ irradiance from the nearest photon is looked up. \radiance's
+ direct calculation is disabled with direct photons, and only
+ surfaces with diffuse component are accounted for; this is stricly
+ a debugging and validation option, and rarely needed in practice.
+
+\end{description}
+d1208 54
+d1263 29
+a1292 1
+\section{Bugs and Weirdness}
+a1293 1
+\begin{itemize}
+d1295 32
+a1326 188
+ \item The spotlight focal point is ignored by the photon map; it coincides
+ with the light source surface. This corresponds to specifying a
+ direction vector of infinitesimal length in \radClassic.
+ \item \cmd{mkpmap}'s distribution algorithm can exceed the specified
+ number of photons with scenes having high reflectance or when
+ excessively high settings of \opt{-apD} are used.
+
+ \item Caustic photon irradiance will be biased when passing \cmd{rtrace}
+ points which do not lie on a surface.
+
+\end{itemize}
+
+
+
+\section{Acknowledgement}
+
+\copyright Fraunhofer Institute for Solar Energy Systems, Lucerne
+University of Applied Sciences and Arts. Development of the \radiance{}
+photon mapping extension was sponsored by the German Research Foundation
+(DFG) and the Swiss National Science Foundation (SNF).
+
+
+
+\pagebreak
+\section{Sample Renderings}
+
+
+
+\pagebreak
+\appendix
+\section{Parameter Ranges}
+
+The following table lists typical ranges for various parameters used with
+\cmd{mkpmap} and \cmd{rpict}. It is primarily aimed at novices, who are no
+doubt bewildered by the plethora of options. The ranges are recommendations
+based on the developer's experience, and should not be interpreted as fixed
+constraints. In some situations it is not unlikely to use settings far
+beyond the typical range.
+
+\begin{table}[!htb]
+ \centering
+ \begin{tabular}{|l|l|}
+ \hline
+ \cmd{mkpmap} parameter & typical range \\
+ \hline
+ \hline
+ \var{nphotons} & 50k--1m \\
+ \opt{-apD} & 0.1--10 \\
+ \opt{-apf} & 0.25--0.5 \\
+ \opt{-apm} & 5000--10000 \\
+ \opt{-dp} & 1000--100000 \\
+ \opt{-ds} & 0.0001--0.01 \\
+ \hline
+ \hline
+ \cmd{rpict} parameter & typical range \\
+ \hline
+ \hline
+ \var{bwidth_1} & 50--100 \\
+ \var{bwidth_2} & 200--400 \\
+ \hline
+ \end{tabular}
+ \caption{Parameter ranges for \cmd{mkpmap} and \cmd{rpict}.}
+\end{table}
+
+
+
+\clearpage
+\section{Troubleshooting}
+
+\begin{table}[!htb]
+ \centering
+ \begin{tabular}{|p{0.3\linewidth}|p{0.3\linewidth}|p{0.3\linewidth}|}
+ \hline
+ {\bf Problem} & {\bf Cause} & {\bf Solution} \\
+ \hline
+ \hline
+ \cmd{mkpmap} stores too many photons &
+ Too many emitted photons in distribution prepass &
+ Reduce \opt{-apD} \\
+ \hline
+ Number of stored photons differs substantially from specification &
+ Too few photons emitted in distribution prepass; prediction for main
+ pass inaccurate &
+ Increase \opt{-apD} \\
+ \hline
+ Excessive noise in photon irradiance &
+ Bandwidth too low &
+ Increase bandwidth \\
+ \hline
+ Excessive blurring in photon irradiance &
+ Bandwidth too high &
+ Decrease bandwidth or increase size of photon map \\
+ \hline
+ Excessive noise and blurring in different regions &
+ Bandwidth is fixed &
+ Apply bias compensation for dynamic bandwidth \\
+ \hline
+ Severe irradiance falloff at polygon edges &
+ Boundary bias due to high bandwidth &
+ Reduce bandwidth or apply bias compensation \\
+ \hline
+ Splotchy ambient illumination from global photons &
+ Excessively noisy density estimates; too few ambient samples;
+ irradiance caching too inaccurate &
+ Check density estimate with \opt{-ab} -1, and increase bandwidth if
+ necessary; increase \opt{-ad} if illumination has high variance or
+ contains caustics; increase \opt{-ar} and/or decrease \opt{-aa} \\
+ \hline
+ \cmd{mkpmap} complains about runaway photons &
+ Photons stuck in infinite scattering loop, possibly pathological
+ geometry or materials &
+ Check geometry and materials; increase \opt{-apm} \\
+ \hline
+ Direct photon irradiance from modified light source deviates
+ significantly &
+ Probability density function cannot adequately resolve emission
+ distribution; too few source partitions &
+ Increase \opt{-dp}; if distribution varies over surface, decrease
+ \opt{-ds} \\
+ \hline
+ \end{tabular}
+ \caption{Troubleshooting chart.}
+\end{table}
+
+\begin{table}[!htb]
+ \centering
+ \begin{tabular}{|p{0.3\linewidth}|p{0.3\linewidth}|p{0.3\linewidth}|}
+ \hline
+ {\bf Problem} & {\bf Cause} & {\bf Solution} \\
+ \hline
+ \hline
+ \cmd{mkpmap} is slow with \lit{source} primitive &
+ \lit{source} emits from scene cube faces &
+ Define photon ports \\
+ \hline
+ \cmd{mkpmap} bogs down in light source flux integration &
+ Excessively high probability density function resolution; too many
+ source partitions &
+ Decrease \opt{-dp}; increase \opt{-ds} \\
+ \hline
+ \cmd{mkpmap} bails out after too many distribution prepasses &
+ Using caustic photons with non-specular geometry; using volume photons
+ without \lit{mist}; pathological geometry or nonabsorbing materials;
+ light sources see no geometry &
+ Check scene and specify compatible photon types \\
+ \hline
+ Everything is slow &
+ User expects too much &
+ Twiddle thumbs \\
+ \hline
+ \end{tabular}
+ \caption{Troubleshooting chart (continued).}
+\end{table}
+
+
+
+\begin{thebibliography}{99}
+ \bibitem[Ward94]{Ward94}
+ Gregory J.~Ward: ``The \radiance{} Lighting Simulation and
+ Rendering System''. Proceedings SIGGRAPH~'94, July~1994
+ \bibitem[Ward98]{Ward98}
+ Greg Ward Larson and Rob Shakespeare: ``Rendering with
+ \radiance''. Morgan Kaufmann, San Francisco, 1998
+ \bibitem[Jens96]{Jens96}
+ Henrik Wann Jensen: ``Global Illumination using Photon Maps''.
+ Rendering Techniques '96, Eds. X.~Pueyo and P.~Schr\"oder,
+ Springer-Verlag, 1996
+ \bibitem[Jens97]{Jens97}
+ Henrik Wann Jensen: ``Rendering Caustics on Non-Lambertian
+ Surfaces''. Computer Graphics Forum, vol.~16~(1), March~1997
+ \bibitem[Jens98]{Jens98}
+ Henrik Wann Jensen and Per H.~Christensen: ``Efficient
+ Simulation of Light Transport in Scenes with Participating
+ Media using Photon Maps''. Proceedings SIGGRAPH~'98, July~1998
+ \bibitem[Jens00]{Jens00}
+ Henrik Wann Jensen and Niels J{\o}rgen Christensen: ``A
+ Practical Guide to Global Illumination using Photon Maps''.
+ SIGGRAPH~2000 Course Notes~8, July~2000
+ \bibitem[Bent75]{Bent75}
+ Jon Louis Bentley: ``Multidimensional Binary Search Trees
+ Used for Associative Searching''. CACM 18(9), 1975
+ \bibitem[Chri00]{Chri00}
+ Per Christensen: ``Faster Photon Map Global Illumination''.
+ Journal of Graphics Tools, vol.~4~(3), April~2000
+ \bibitem[Schr03]{Schr03}
+ Roland Schregle: ``Bias Compensation for Photon Maps''. To appear in
+ Computer Graphics Forum, vol.~22~(4), December~2003
+\end{thebibliography}
+@
+
+
+1.8
+log
+@Removed stuff about wavelet representation.
+@
+text
+@d2 1
+a2 1
+\usepackage{color,graphicx,pslatex}
+d4 2
+d7 19
+a25 8
+
+
+
+\author{Roland Schregle (schregle@@ise.fhg.de)\\
+ Fraunhofer Institute for Solar Energy Systems}
+\title{The RADIANCE Photon Map Manual}
+\date{\today\\ $Revision: 1.7 $}
+
+d29 2
+a30 418
+
+\maketitle
+\tableofcontents
+
+\section{Introduction}
+
+The RADIANCE rendering system \cite{Ward94} is a very versatile and powerful
+tool for lighting simulation, and one of the very few physically based
+renderers with available source code. However, developments in light
+redirecting materials have presented new challenges in their simulation;
+their specular nature makes them difficult to simulate with RADIANCE, often
+merely resulting in a noisy mess. Some are downright impossible to simulate
+correctly with RADIANCE or bog the system down with high computational
+overhead.
+
+Particularly the phenomenon of caustics poses a serious problem for
+RADIANCE. Caustics are the bright, iridescent highlights on diffuse
+surfaces caused by specular reflection or refraction. A typical example is
+the cardioid pattern seen inside a cup or metal ring (figure
+\ref{fig:caustic}). Quoting chapter 13 of {\it Rendering with RADIANCE\/}
+\cite{Ward98},
+
+\begin{quote}
+ ``Other cases involving curved, specular reflectors pose similar
+ difficulties for {\tt mkillum}, and the only long-term solution seems to
+ be the creation of a forward raytracing module for computing these kinds
+ of illums.''
+\end{quote}
+The problem is actually far more fundamental due to RADIANCE's backward
+raytracing methodology, and not restricted to {\tt mkillum} alone.
+
+\begin{figure}[!htb]
+ \centering
+ \includegraphics[angle=-90, width=0.7\textwidth]{caustic.ps}
+ \parbox{0.75\textwidth}
+ {\caption{Photograph of metal ring caustic.}
+ \label{fig:caustic}}
+\end{figure}
+
+RADIANCE's difficulties with sophisticated light redirecting materials
+necessitated the development of the forward raytracing module mentioned
+above as a supplementary algorithm. The photon map \cite{Jens96, Jens97,
+Jens00} was chosen for a number of reasons:
+\begin{itemize}
+ \item Apart from handling indirect diffuse illumination, it handles
+ caustics efficiently and has become the algorithm of choice for
+ this purpose.
+ \item It is straightforward to integrate into existing ray tracing
+ environments.
+ \item It is decoupled from the scene geometry and thus can handle
+ arbitrarily complex objects, including procedural and even fractal
+ ones. This also enables using the photon map to simulate indirect
+ illumination in volumes, such as participating media
+ \cite{Jens98}.
+ \item It represents a view independent solution to the indirect
+ illumination and thus opens up the possiblity of interactive
+ walkthroughs as with the Radiosity method.
+\end{itemize}
+
+The photon map is based on a (light) particle transport simulation, which
+lends its name. Each photon interacts with the objects it strikes and is
+either reflected, transmitted, or absorbed, depending on the
+characteristics of the material. A Monte Carlo sampling method is used to
+generate the reflected or transmitted directions of a photon if it survives.
+Eventually a particle is terminated either by absorbtion or leakage (if it
+leaves the scene), and a new photon is emitted.
+
+
+
+\section{Overview of the Implementation}
+
+The photon map algorithm comprises two steps:
+\begin{description}
+ \item[Photon distribution:] as a preprocess, photons are emitted from all
+ light sources and probabilistically reradiated or absorbed upon
+ striking a surface or passing through a volume, depending on its
+ properties. The result is a view independent representation of the
+ indirect illumination (figure \ref{fig:cornell_distrib}).
+ \item[Photon gathering:] during the actual rendering, the indirect
+ illumination for a point on a surface or within a volume is
+ determined by finding a number of nearest photons to the point. The
+ irradiance is then proportional to the photon density (figure
+ \ref{fig:nnsearch}).
+\end{description}
+
+\begin{figure}[!htb]
+ \centering
+ \includegraphics[width=0.48\textwidth]{cornell-distrib1.eps}
+ \hfill
+ \includegraphics[width=0.48\textwidth]{cornell-distrib2.ps}
+ \parbox{\textwidth}
+ {\caption{Global photon distribution in the Cornell box. Left:
+ global and caustic photon paths during forward pass.
+ Dots indicate stored photons, where blue represents
+ global photons, and red represents caustic photons.
+ Right: photon distribution after completion of forward
+ pass. Note the concentration of caustic photons on the
+ back wall reflected from the glass sphere.}
+ \label{fig:cornell_distrib}}
+\end{figure}
+
+\begin{figure}[!htb]
+ \centering
+ \resizebox{0.7\textwidth}{!}{\input{nnsearch.pstex_t}}
+ \parbox{0.9\textwidth}
+ {\caption{Gathering photons via nearest neighbour search.}
+ \label{fig:nnsearch}}
+\end{figure}
+
+The distribution step is performed by the {\tt mkpmap} utility. It is
+responsible for building the photon map and saving it to a file for
+subsequent reuse by {\tt rpict}\footnote{Unless noted otherwise, {\tt rpict}
+also implies its siblings {\tt rtrace} and {\tt rview}.} for the actual
+rendering and photon gathering.
+
+\noindent Four photon types are available:
+\begin{description}
+ \item[Global photons] account for all indirect (ambient) illumination
+ incident on surfaces with a diffuse component.
+ \item[Caustic photons] account for all indirect specular to diffuse
+ transfers, i.e. caustics. These transport paths are also accounted for
+ by global photons, but not visualised directly like caustics.
+ \item[Volume photons] account for indirect illumination within
+ participating media using the {\it mist\/} primitive.
+ \item[Direct photons] account for the direct component from light sources
+ and are only intended as a debugging option.
+\end{description}
+Each photon type is stored in a separate photon map and visualised
+differently.
+
+The stock RADIANCE functionality (referred to here as RADIANCE
+Classic$^\mathsf{TM}$) is preserved in {\tt rpict} if no command line
+arguments pertaining to the photon map are given. When rendering with the
+photon map, the ambient calculation is augmentented by a photon map density
+estimate, but the direct and indirect specular components are still
+delivered by RADIANCE Classic.
+
+
+
+\subsection{Supported Primitives}
+
+Material types in RADIANCE require additional code to probabilistically
+generate outgoing directions for incident photons using monte carlo methods.
+This has been done for those materials with fixed BRDFs / BTDFs:
+\begin{description}
+ \item[Gaussian:] {\it plastic, metal, trans, plastic2, metal2, trans2}
+ \item[Refracting/Reflecting:] {\it glass, dielectric, interface, mirror}
+ \item[Mixtures:] {\it mixfunc, mixdata}
+ \item[Patterns:] {\it colorfunc, brightfunc, colordata, brightdata,
+ colorpict}
+ \item[Textures:] {\it texfunc, texdata}
+ \item[Volumes:] {\it mist, antimatter}
+\end{description}
+
+Materials for user defined BRDFs / BTDFs such as {\it plasfunc, metfunc,
+transfunc, brtdfunc, plasdata, metdata,\/} and {\it transdata\/} are
+currently {\bf not} supported due to the high sampling overhead in
+conjunction with the photon map\footnote{This overhead arises from the fact
+that the BRDF would have to be evaluated for the entire hemisphere of
+outgoing directions for \emph{every\/} photon hit during the distribution
+pass.}.
+
+In order for volume photons to function correctly with materials which
+modify the coefficient of extinction and scattering albedo (i.e. {\it
+dielectric\/} and {\it interface\/}), it is necessary to surround the light
+source(s) and viewpoint with a mist boundary (e.g. {\it bubble\/}), unless
+one intends to restrict volume photons to a small section of the scene.
+Participating media are essentially hacked into RADIANCE, and this calls for
+peculiar workarounds. In order to get volume caustics from light passing
+through an object, it must also be surrounded by a mist boundary.
+Alternatively, the mist parameters can be set globally on the command line,
+however this requires setting the source and viewpoint boundaries'
+extinction to zero, otherwise extinction is accumulated. Furthermore, {\tt
+rpict} only accounts for inscattering along rays of finite length, i.e.
+which intersect a local object. The scene therefore requires peripheral
+geometry to delineate a finite expanse of mist, e.g. a mist boundary for the
+entire scene. Confusing? Blame Greg!
+
+Light sources require additional code for photon emission. Currently
+supported primitives are {\it light, spotlight, glow,\/} and {\it
+source.\/} To ensure accurate distribution light source geometries are
+partitioned to a user specified resolution, and photons emitted from each
+partition. In the case of the {\it source\/} primitive there is no geometry
+to partition; instead, the scene cube faces are partitioned and act as
+emitters, unless photon {\it ports\/} are used (see section
+\ref{sec:ports}). The {\it glow\/} primitive acts as a regular light
+source. Virtual sources are disabled with the photon map, since caustic
+photons already account for these effects.
+
+Light sources may be modified by function files. During photon emission,
+the predefined variables passed to them (see {\tt rayinit.cal}) are defined
+in terms of the photon origin on the light source:
+\begin{itemize}
+ \item the emitted photon's direction {\tt Dx}, {\tt Dy}, and {\tt Dz}
+ points towards the photon origin
+ \item {\tt Nx}, {\tt Ny}, and {\tt Nz} is the normal on the light source
+ surface at the photon origin
+ \item {\tt Px}, {\tt Py}, and {\tt Pz} is the emitted photon's origin
+ \item {\tt T} and {\tt Ts} are undefined
+ \item {\tt Rdot} is the dot product of the surface normal and the
+ photon's direction at its origin.
+\end{itemize}
+
+
+
+\subsection{Optimisations}
+
+A number of optimisations have been incorporated into the implementation to
+either improve performance or accuracy. The user must be aware of the fact
+that most of these optimisations incur trade-offs; increasing performance
+will inevitably compromise accuracy, and vice versa. Such is the harsh
+reality of Monte Carlo.
+
+
+
+\subsubsection{Final Gather}
+
+Per Christensen's {\it final gather\/} scheme \cite{Chri00} has been
+integrated into the implementation and is available as an option to
+accelerate the global photon gathering step. Global photon irradiance is
+precomputed for a fraction of the photon positions and stored with the
+photons. This reduces the overhead of global photon lookups during the
+gathering phase; only the single closest global photon is retrieved, and its
+precomputed irradiance can be used directly (figure \ref{fig:finalgather}).
+However, final gather has the disadvantage of introducing bias to the
+solution for scenes with nonuniform indirect illumination. When accurate
+simulation is required it's best to forego this option. Final gather may
+also be combined with the bias compensating operator explained below.
+
+\begin{figure}[!htb]
+ \centering
+ \includegraphics[width=0.6\textwidth]{finalgather1.ps}
+ \parbox{0.9\textwidth}
+ {\caption{Radiance derived from precomputed global photon
+ irradiance for final gather. Note the caustic from the
+ glass sphere.}
+ \label{fig:finalgather}}
+\end{figure}
+
+
+
+\subsubsection{Bias Compensation}
+
+The number of photons used for an irradiance estimate (also referred to as
+the estimate {\it bandwidth\/}) affords the user control over the quality
+and accuracy of the rendering by trading off between noise and bias. Setting
+this too low may result in excessive noise. Setting this too high may result
+in excessive blurring and local bias in the solution.
+
+To counter the bias/noise tradeoff, a {\it bias compensating operator\/}
+\cite{Schr03} was developed and incorporated into the irradiance estimate as
+an option. Its purpose is to adapt the bandwidth within a user specified
+lower and upper bound. The operator employs a binary search for an optimal
+bandwidth based on the likelihood that deviations from a running average
+irradiance are due to noise or bias. This results in substantially improved
+contours in nonuniform indirect illumination (particularly caustics) with a
+slight increase in noise in these regions (figure \ref{fig:biascomp}). The
+operator also compensates boundary bias (darkening at polygon edges) and
+chromatic bias. However, this sophistication comes at a hefty price;
+performance will suffer severely under this operator.
+
+\begin{figure}[!htb]
+ \centering
+ \includegraphics[angle=-90, width=0.6\textwidth]
+ {spot-bias-50000-false.ps}
+ \\[0.05\textwidth]
+ \includegraphics[angle=-90, width=0.6\textwidth]
+ {spot-biascomp-50000-false.ps}
+ \parbox{0.9\textwidth}
+ {\caption{Top: falsecolour rendering of severely biased caustic
+ with a bandwidth of 5000 photons. The caustic should
+ have an irradiance of 10 $W/m^2$. Bottom: falsecolour
+ rendering of the same caustic with bias compensation
+ using a bandwidth of 50--5000 photons.}
+ \label{fig:biascomp}}
+\end{figure}
+
+
+
+\subsubsection{Irradiance Thresholds}
+
+Performance can be tweaked with the {\it irradiance threshold\/} parameter,
+which can be specified separately for each photon type. This is assumed to
+be the minimum visible irradiance contributed by the photon map. A maximum
+search radius for photon gathering is derived from this threshold based on
+the photon flux and the number of photons to gather. No photons beyond this
+radius will be searched, which can speed up the search dramatically. This of
+course presupposes some knowledge of the lighting levels in the scene on
+behalf of the user. Unfortunately, setting the threshold too high will
+result in frequent ``short'' gathers, finding fewer photons than requested.
+While this isn't tragic, it can introduce noise or banding. However, grossly
+overestimated thresholds can lead to the complete omission of low indirect
+illumination, which is unacceptable, except possibly for crude previews.
+With reasonable settings the artifacts are usually quite subtle while still
+yielding a performance gain. Caustics benefit most from this parameter,
+since they are only visible where the photons cluster, while the rest of the
+scene is sparse and therefore contributes negligible illumination.
+
+
+
+\subsubsection{Photon Ports}
+\label{sec:ports}
+
+Emitting photons from the {\it source\/} primitive presents a challenge;
+there is no local geometry associated with these distant sources. While the
+default behaviour is to emit photons from the scene cube faces, this can
+become highly inefficient for sources with large solid angles. These are
+infact situations for which a forward raytracer is fundamentally
+inappropriate. RADIANCE Classic's backward raytracer fares better here,
+since sending a ray to a large source is trivial. With the forward
+raytracer, the majority of emitted photons will be lost and won't contribute
+to the photon map. To aggravate the situation, distant sources are often
+used to render interior daylit spaces. With the viewer positioned inside,
+the few photons that actually strike the geometry must also pass through
+windows or skylights before they can even contribute visibly to the photon
+map. Needless to say, this amounts to abysmal performance.
+
+A simple workaround to the problem is the concept of photon {\it ports\/}.
+The ports are basically apertures through which photons can enter the space
+containing the viewpoint. These can be windows, skylights, but also
+invisible polygons within the scene (figure \ref{fig:port}). There is a
+price to pay however, since this scheme requires user intervention. The user
+must define the port geometry and specify them according to their modifiers.
+If the user places the ports intelligently, the photon loss factor will be
+reduced dramatically, resulting in a substantial increase in performance.
+
+\begin{figure}[!htb]
+ \centering
+ \includegraphics[width=0.8\textwidth]{port1.eps}
+ \parbox{0.9\textwidth}
+ {\caption{Typical daylighting geometry with window as photon port
+ for distant sources.}
+ \label{fig:port}}
+\end{figure}
+
+All objects using the specified port modifiers act as ports during photon
+distribution. Photons are emitted directly from the ports rather than from
+the scene cube faces. The ports must be defined in the scene description
+such that the surface normals point {\bf outside}. The incident flux from
+distant sources is evaluated at each port and the sources are checked for
+occlusion. However, no interreflection calculation is made; ports differ
+from {\it illums\/} in this respect. Photons are scattered by the port upon
+emission as if they had passed through it.
+
+In some cases ports may not coincide with any scene geometry. These
+situations call for invisible ports. Photons should be emitted from them,
+but they should not be affected by scattering through the port, and the port
+should not be visible during rendering. The simple solution is to define
+photon ports using the {\it antimatter\/} modifier, with {\it void\/} as its
+only string argument.
+
+Photon ports are the only optimisation in the implementation which do not
+compromise accuracy for performance, assuming the user knows what he/she/it
+is doing. It should also be noted that the photon port concept in the
+current release is a simple hack as an interim to a more sophisticated and
+flexible distribution method. Future implementations may use importance
+information for photon paths to yield more intelligent and efficient
+distribution, possibly even without user intervention. {\tiny (Or not.
+Probably not.)}
+
+
+
+\section{Photon Distribution with {\tt mkpmap}}
+
+The {\tt mkpmap} utility accepts a RADIANCE octree as input and generates a
+photon map of each specified type for the scene. The photons are stored in a
+space subdividing data structure \cite{Bent75} which facilitates nearest
+neighbour queries required for the gathering step. The data structure is
+written to a portable binary file for subsequent use by {\tt rpict}.
+
+If a photon map with the specified file name already exists, {\tt mkpmap}
+aborts without overwriting. The need for this protection stems from the
+frustration of having photon maps from very long previous distribution
+passes obliterated by the command line history! There is no ``clobber''
+option; the files must be renamed or removed by hand. This is an annoyance,
+but better safe than sorry...
+
+
+
+\subsection{Distribution Algorithm}
+
+The parametrisation of the distribution step is primarily intended to be
+user friendly; the user specifies the required number of photons stored in
+each map. These are treated as ``targets'' which the photon distribution
+code tries to attain, since there is no way of knowing the outcome of the
+distribution a priori. The distribution algorithm makes an educated guess at
+the number of photons it must emit in order to satisfy the targets. This is
+based on the results of a distribution prepass in which a small number of
+photons (a fraction of the minimum specified target) is emitted and
+distributed. Since the distribution process scales linearly, the remaining
+number of photons to emit can be predicted and distributed in the main pass.
+The actual number of photons generated after the distribution is complete
+will approximate the targets.
+
+
+
+\subsection{Distribution Failure}
+
+The distribution step may bog down and terminate after a user specified
+number of distribution prepass attempts if any of the specified photon maps
+are still empty. This is usually an indication of a scene anomaly or an
+incompatible photon map specification. This is intended as a convenience for
+the user; without it, {\tt mkpmap} would end up in an infinite loop. It is
+nevertheless the user's responsibility to specify compatible photon map
+types and to check the validity of the scene.
+
+\noindent The following situations can cause {\tt mkpmap} to fail:
+\begin{itemize}
+ \item pathological scenes in which none of the light sources see any
+ geometry
+ \item specifying a global photon map for a scene containing no materials
+ with diffuse component
+ \item specifying a caustic photon map for a scene containing no materials
+ with diffuse or specular component
+ \item specifying a volume photon map for a scene lacking the {\it
+ mist\/} primitive.
+\end{itemize}
+
+a32 1
+\subsection{Runaway Photons}
+d34 749
+a782 154
+Photons may become trapped inside {\it dielectric\/} or {\it interface\/}
+materials, often due to infinite total reflection. These ``runaway'' photons
+are terminated after a user defined bounce limit is exceeded, and a warning
+is issued under the assumption that this is an anomaly of the scene
+geometry.
+
+
+
+\subsection{Progress Report}
+
+If progress reports are enabled, {\tt mkpmap} will report the following
+during distribution:
+\begin{quote}
+ {\tt $N_e$ emitted, $N_g$ global, $N_c$ caustic, $N_v$ volume, $N_d$
+ direct, $P$\% after $T$ hours},
+\end{quote}
+where:
+\begin{itemize}
+ \item $N_e$ is the total number of emitted photons
+ \item $N_g$, $N_c$, $N_v$, and $N_d$ is the number of global, caustic,
+ volume, and direct photons stored, respectively
+ \item $P$ is the percentage completed
+ \item $T$ is the time elapsed.
+\end{itemize}
+
+When precomputing global photon irradiance a report will also be issued
+with the number of precomputed photons $N_p$:
+\begin{quote}
+ {\tt $N_p$ precomputed, $P$\% after $T$ hours},
+\end{quote}
+
+If precomputation is combined with bias compensation, error statistics will
+also be reported (see section \ref{sec:rpict.report}).
+
+
+
+\subsection{Command line arguments for {\tt mkpmap}}
+
+The general synopsis of the {\tt mkpmap} utility is:
+\begin{quote}
+ {\tt mkpmap [options] octree}
+\end{quote}
+The options are as follows:
+\begin{description}
+
+ \item{\tt -apg <file> <nphotons>}\\ The output file name and approximate
+ number of photons for the global photon map.
+
+ \item{\tt -app <file> <nphotons> <bandwidth>}\\ The output file name for
+ the precomputed global photon map, the approximate number of photons
+ (before precomputation), and the number of photons (bandwidth) to use
+ for the precomputed irradiance estimate.
+
+ \item{\tt -appb <file> <nphotons> <nestimate\_min> <nestimate\_max>}\\
+ Same as above, but applying bias compensation within the minimum and
+ maximum number of photons on the precomputed irradiance estimate.
+
+ \item{\tt -appt <thresh>} \\ Irradiance threshold for precomputed global
+ photon map in $W/m^2$.
+
+ \item{\tt -apc <file> <nphotons>}\\ The output file name and approximate
+ number of photons for the caustic photon map.
+
+ \item{\tt -apv <file> <nphotons>}\\ The output file name and approximate
+ number of photons for the volume photon map. Volume photons can only
+ be used with octrees containing the {\it mist\/} primitive.
+
+ \item{\tt -apd <file> <nphotons>}\\ The output file name and approximate
+ number of photons for the direct photon map. Direct photon maps are
+ useful to determine suitable settings for the {\tt -ds} and {\tt -dp}
+ options when using light sources with modifiers. This can provide a
+ visual check for the resolution of the probability density function
+ used for photon emission in conjunction with complex output
+ distributions. It can also serve as a validation tool for comparison
+ with RADIANCE's direct component. The quality of the direct photon
+ irradiance is poor, and only accounts for surfaces with diffuse
+ component. For these reasons, the direct photon map is strictly a
+ debugging option. It is in no way intended to replace RADIANCE's
+ direct calculation.
+
+ \item{\tt -apD <frac>}\\ Fraction of the minimum number of photons
+ specified which are emitted in the distribution prepass. Increase this
+ if the number of stored photons differs substantially from your
+ specified targets. This parameter may exceed 1.
+
+ \item{\tt -apf <frac>}\\ Fraction of global photons to precompute for
+ final gather, in the range $]0,1]$. The remaining photons are
+ discarded.
+
+ \item{\tt -apm <max>}\\ Specifies the maximum number of bounces for a
+ photon before termination as runaway photon.
+
+ \item{\tt -apM <max>}\\ Specifies the maximum number of distribution
+ prepass attempts before terminating if some photon maps are still
+ empty. This should only be increased under very unusual circumstances,
+ as it normally indicates a scene anomaly or photon map specifications
+ which are incompatible with the scene.
+
+ \item{\tt -apo <mod>}\\ Specifies photon port modifier. All objects with
+ this modifier will act as ports for photons emitted from the {\it
+ source\/} primitive. This option can be used in mutliple instances
+ with cumulative effect.
+
+ \item{\tt -apO <file>}\\ Photon port modifiers are read from the
+ specified file.
+
+ \item{\tt -bv}\\ Toggles backface visibility. Enabling this switch
+ causes photons to be stored and possibly reradiated if they strike
+ the back of a surface, otherwise they are ignored and immediately
+ absorbed.
+
+ \item{\tt -dp <res>}\\ Resolution for sampling user defined light source
+ emission distributions, in samples per steradian. This is required for
+ numerically integrating the flux emitted by the light source and for
+ constructing a probability density function (PDF) for photon emission.
+ The accuracy of photon emission with user specified distributions
+ depends on this parameter. Increase it if caustics exhibit spurious
+ artifacts.
+
+ \item{\tt -ds <frac>}\\ Light source partition size ratio; light sources
+ are partitioned to distribute the photon emission over its surface.
+ This parameter specifies the ratio of the size (per dimension) of each
+ partition to the scene cube.
+
+ \item{\tt -e <file>}\\ Redirect diagnostics and progress reports to
+ specified file.
+
+ \item{\tt -i <inc>}\\ Photon heap size increment; photon heaps are
+ enlarged by this amount when storage overflows. No need to fiddle with
+ this.
+
+ \item{\tt -ma <ralb> <galb> <balb>}\\ Global scattering albedo. See {\tt
+ rpict}.
+
+ \item{\tt -me <rext> <gext> <bext>}\\ Global extinction coefficient. See
+ {\tt rpict}.
+
+ \item{\tt -mg <gecc>}\\ Global scattering eccentricity. See {\tt rpict}.
+
+ \item{\tt -t <sec>}\\ Generate progress report in specified intervals.
+\end{description}
+
+The {\tt -apc}, {\tt -apv}, and {\tt -apd} options can be freely combined
+with either {\tt -apg}, {\tt -app}, or {\tt -appb}. At least one of these
+must be specified... or nothing happens!
+
+
+
+\section{Querying the Photon Map with {\tt pmapinfo}}
+
+The {\tt pmapinfo} tool supplies the following information about a photon
+map:
+\begin{itemize}
+ \item the photon map type as identified by magic number:
+d784 5
+a788 5
+ \item {\tt Radiance\_Global\_Photon\_Map},
+ \item {\tt Radiance\_PreComp\_Global\_Photon\_Map},
+ \item {\tt Radiance\_Caustic\_Photon\_Map},
+ \item {\tt Radiance\_Volume\_Photon\_Map}, or
+ \item {\tt Radiance\_Direct\_Photon\_Map}
+d790 194
+a983 22
+ \item the {\tt mkpmap} command line used to build the photon map
+ \item the number of photons in the photon map
+ \item the photon flux averaged over the RGB colour channels.
+\end{itemize}
+
+
+
+\section{Visual Examination with {\tt pmapdump}}
+
+The {\tt pmapdump} tool is a no-frills hack to visualise the photon
+distribution in one or more photon map files. The ``dump'' to standard
+output consists of a RADIANCE scene description which can be included in the
+octree used to generate the photon maps. The photons themselves are modeled
+as simple spheres of a user defined radius, with their colour denoting the
+photon type as follows:
+
+\begin{description}
+ \item[Blue:] global photon
+ \item[Cyan:] precomputed global photon
+ \item[Red:] caustic photon
+ \item[Green:] volume photon
+ \item[Magenta:] direct photon
+a985 6
+\noindent The synopsis for {\tt pmapdump} is very simple:
+\begin{quote}
+ {\tt pmapdump <radius> <pmap1> <pmap2> ...}
+\end{quote}
+An arbitrary number of photon maps can be specified on the command line and
+the respective photon type is determined automagically.
+a986 9
+A typical application of {\tt pmapdump} would go something like:
+\begin{quote}
+ {\tt oconv scene.rad > scene.oct \\
+ mkpmap -apg pmap.gpm -apc pmap.cpm -apv pmap.vpm scene.oct \\
+ pmapdump 0.01 pmap.gpm pmap.cpm pmap.vpm | \\
+ oconv - scene.rad > scene\_distrib.oct}
+\end{quote}
+Note the use of a pipe to directly create {\tt scene\_distrib.oct} from the
+{\tt pmapdump} output.
+d988 1
+a988 5
+The {\tt pmapdump} utility can be used for illustrative purposes to
+understand the photon map algorithm, but more importantly, it can be used to
+debug scenes in which you have no clue where your photons are. The image on
+the right in figure \ref{fig:cornell_distrib} is an example of a {\tt
+pmapdump} output.
+d990 1
+a990 6
+Note that {\tt oconv} may have a hard time with the {\tt pmapdump} output,
+requiring the use of the {\tt -n} or {\tt -r} options. This appears to
+result from the sphere overlap in dense photon distributions (such as
+caustics) or if the sphere radius is too small compared to the scene extent.
+Large photon maps tend to bog {\tt oconv} down too, and the individual
+photons are difficult to discern anyway, hence conservatism is advised.
+d992 6
+d999 2
+a1001 58
+\section{Photon Gathering with {\tt rpict}}
+
+The modified {\tt rpict} rendering tool takes the photon map generated by
+{\tt mkpmap} and perform the photon gathering and density estimation.
+Without photon map functionality enabled, it behaves like RADIANCE Classic.
+
+
+
+\subsection{Caustic Photon Visualisation}
+
+Caustic photons are visualised at points seen directly by the observer, or
+via specular reflections. Virtual light sources are disabled with the
+caustic photon map, since these effects are already accounted for. Note that
+irradiance calculations with {\tt rtrace} using caustic photons are surface
+bound. Irradiance for points which do not lie on surfaces will be biased.
+
+
+
+\subsection{Global Photon Visualisation}
+
+Global photons are visualised via an intermediate ambient bounce, which
+reduces noise (figure \ref{fig:visualisation}). An exception to the rule is
+a debugging option which directly visualises the global photons. Ambient
+values (specified with {\tt -av}) are ignored. The global photon irradiance
+may be optionally precomputed by {\tt mkpmap} to speed things up at the
+expense of accuracy.
+\begin{figure}[!htb]
+ \centering
+ \includegraphics[width=0.75\textwidth]{visualisation.eps}
+ \parbox{0.9\textwidth}
+ {\caption{Caustic photons are visualised at the primary ray, while
+ an intermediate stratified sampling step is used
+ between the primary ray and the global photon
+ contribution.}
+ \label{fig:visualisation}}
+\end{figure}
+
+
+
+\subsection{Progress Report}
+\label{sec:rpict.report}
+
+Bias compensation statistics are provided in the progress report with the
+standard {\tt -t} option. The statistics reported for each photon type
+subject to bias compensation are as follows:
+\begin{quote}
+ {\tt $N_{min}$/$N_{max}$/$N_{avg}$ $ptype$,
+ ($\epsilon_{min}$/$\epsilon_{max}$/$\epsilon_{rms}$ error)},
+\end{quote}
+where:
+\begin{itemize}
+ \item $N_{min}$, $N_{max}$, and $N_{avg}$ are the minimum, maximum, and
+ average number of photons used per irradiance estimate, respectively
+ \item $ptype$ is one of {\tt global}, {\tt caustic}, {\tt volume}, or
+ {\tt direct}.
+ \item \sloppy $\epsilon_{min}$, $\epsilon_{max}$, and $\epsilon_{rms}$
+ are the minimum, maximum, and RMS (root mean square) estimated
+ relative errors in the irradiance estimates, respectively.
+a1003 100
+Since bias cannot be determined without knowing the actual illumination
+there is no reliable way of separating it from noise. As such, the error
+estimates are crude and only serve as a guide to judge the quality of the
+operator and its parametrisation.
+
+
+
+\subsection{Command Line Arguments for {\tt rpict}}
+
+The photon map is disabled by default and must be explicitly enabled using
+one or more of the {\tt -ap} options. The different photon map types may be
+renderered independently or in combination. Note that rendering only the
+global or caustic photon map does not take all light transport paths into
+consideration, and may omit some indirect illumination. Since modifying the
+lights or geometry invalidates the photon map, a warning is issued if the
+octree is newer than the photon map.
+
+The multitude of options can be daunting for beginners, and it helps to
+start with a basic set of parameters upon which to refine if necessary. A
+physically valid simulation using the photon map is obtained with the
+following basic parameters:
+\begin{quote}
+ \sloppy
+ {\tt mkpmap -apg <pmap> <nphotons> -apc <pmap> <nphotons> <octree>\\
+ rpict -apg <pmap> <bwidth> -apc <pmap> <bwidth> -ab 1 -vf <view>
+ <octree>}
+\end{quote}
+As with RADIANCE Classic, the {\tt -ad}, {\tt -ar}, and {\tt -aa} parameters
+must be modified in some cases to improve the rendering quality. Parameters
+pertaining to caustic photons must be omitted for scenes lacking specular
+materials. The {\tt rpict} photon map options are as follows:
+\begin{description}
+
+ \item{\tt -ab <nbounces>}\\ The number of ambient bounces; setting this
+ to a positive value will include global photon contributions via {\bf
+ one} ambient bounce (regardless of the actual number specified). The
+ irradiance cache may be applied to the top level ambient rays, but
+ photon map lookups are not cached. Setting this to a negative value
+ will visualise the global photons directly. With precomputed global
+ photons this produces a Voronoi diagram. The quality of the resulting
+ renderings is usually abysmal, hence this setting is primarily
+ intended for debugging purposes, e.g. to check the illuminance
+ distribution. Caustic photons are not visualised with this setting,
+ because the directly visualised global photon map already accounts for
+ them in this case. As with RADIANCE Classic, the default value of 0
+ disables the ambient component; global photons are not visualised, but
+ caustic photons are still visualised directly.
+
+ \item{\tt -apg <file> <bwidth>}\\ Loads the global photon map from the
+ file and uses the specified number of photons (bandwidth) for a global
+ irradiance estimate.
+
+ \item{\tt -apgb <file> <minbwidth> <maxbwidth>}\\ Same as above, but
+ applying bias compensation within the minimum and maximum bandwidth to
+ the global irradiance estimate.
+
+ \item{\tt -apgt <thresh>} \\ Irradiance threshold for global photon map
+ in $W/m^2$.
+
+ \item{\tt -app <file>}\\ Loads the precomputed global photon map from the
+ file and uses the precomputed irradiance for final gather.
+
+ \item{\tt -apc <file> <bwidth>}\\ Loads the caustic photon map from the
+ file and uses the specified number of photons (bandwidth) for a
+ caustic irradiance estimate.
+
+ \item{\tt -apcb <file> <minbwidth> <maxbwidth>}\\ Same as above, but
+ applying bias compensation within the minimum and maximum bandwidth to
+ the caustic irradiance estimate.
+
+ \item{\tt -apct <thresh>} \\ Irradiance threshold for caustic photon map
+ in $W/m^2$.
+
+ \item{\tt -apv <file> <bwidth>}\\ Loads the volume photon map from the
+ file and uses the specified number of photons (bandwidth) for a
+ volume irradiance estimate within the {\it mist\/} primitive.
+
+ \item{\tt -apvb <file> <minbwidth> <maxbwidth>}\\ Same as above, but
+ applying bias compensation within the minimum and maximum bandwidth to
+ the volume irradiance estimate.
+
+ \item{\tt -apvt <thresh>} \\ Irradiance threshold for volume photon map
+ in $W/m^2$.
+
+ \item{\tt -apd <file> <bwidth>}\\ Loads the direct photon map from the
+ file and uses the specified number of photons (bandwidth) for a direct
+ irradiance estimate. RADIANCE's direct calculation is disabled, and
+ only surfaces with diffuse component are accounted for. This is
+ stricly a debugging and validation option, and rarely needed in
+ practice.
+
+ \item{\tt -apdb <file> <minbwidth> <maxbwidth>}\\ Same as above, but
+ applying bias compensation within the minimum and maximum bandwidth to
+ the direct irradiance estimate.
+
+ \item{\tt -apdt <thresh>} \\ Irradiance threshold for direct photon map
+ in $W/m^2$.
+
+\end{description}
+
+d1006 1
+a1006 3
+\section{Bugs and Weirdness}
+
+\begin{itemize}
+d1008 4
+a1011 4
+ \item The spotlight focal point is ignored by the photon map; it
+ coincides with the light source surface. This corresponds to
+ specifying a direction vector of infinitesimal length in RADIANCE
+ Classic.
+a1012 3
+ \item {\tt mkpmap}'s distribution algorithm can exceed the specified
+ number of photons with scenes having high reflectance or when
+ excessively high settings of {\tt -apD} are used.
+a1013 2
+ \item Caustic photon irradiance will be biased when passing {\tt rtrace}
+ points which do not lie on a surface.
+d1015 2
+a1016 1
+\end{itemize}
+d1020 2
+d1025 1
+a1025 1
+{\tt mkpmap} and {\tt rpict}. It is primarily aimed at novices, who are no
+d1035 1
+a1035 1
+ {\tt mkpmap} parameter & typical range \\
+d1038 6
+a1043 6
+ {\tt <nphotons>} & 50000--1000000 \\
+ {\tt -apD} & 0.1--10 \\
+ {\tt -apf} & 0.25--0.5 \\
+ {\tt -apm} & 5000--10000 \\
+ {\tt -dp} & 1000--100000 \\
+ {\tt -ds} & 0.0001--0.01 \\
+d1046 1
+a1046 1
+ {\tt rpict} parameter & typical range \\
+d1049 2
+a1050 2
+ {\tt <bwidth>} & 50--2000 \\
+ {\tt <thresh>} & 0.001--0.1 \\
+d1053 1
+a1053 1
+ \caption{Parameter ranges for {\tt mkpmap} and {\tt rpict}.}
+d1063 1
+a1063 1
+ \begin{tabular}{|p{0.3\textwidth}|p{0.3\textwidth}|p{0.3\textwidth}|}
+d1068 1
+a1068 1
+ {\tt mkpmap} stores too many photons &
+d1070 1
+a1070 1
+ Reduce {\tt -apD} \\
+d1075 1
+a1075 1
+ Increase {\tt -apD} \\
+d1096 3
+a1098 7
+ Check density estimate with {\tt -ab -1}, and increase bandwidth if
+ necessary; increase {\tt -ad} if illumination has high variance or
+ contains caustics; increase {\tt -ar} and/or decrease {\tt -aa} \\
+ \hline
+ Banding in photon irradiance &
+ Maximum photon search radius too small &
+ Decrease irradiance threshold \\
+d1100 1
+a1100 1
+ {\tt mkpmap} complains about runaway photons &
+d1103 1
+a1103 1
+ Check geometry and materials; increase {\tt -apm} \\
+d1109 2
+a1110 2
+ Increase {\tt -dp}; if distribution varies over surface, decrease
+ {\tt -ds} \\
+d1118 1
+a1118 1
+ \begin{tabular}{|p{0.3\textwidth}|p{0.3\textwidth}|p{0.3\textwidth}|}
+d1123 2
+a1124 2
+ {\tt mkpmap} is slow with {\it source\/} primitive &
+ {\it source\/} emits from scene cube faces &
+d1127 1
+a1127 1
+ {\tt mkpmap} bogs down in light source flux integration &
+d1130 1
+a1130 1
+ Decrease {\tt -dp}; increase {\tt -ds} \\
+d1132 1
+a1132 1
+ {\tt mkpmap} bails out after too many distribution prepasses &
+d1134 1
+a1134 1
+ without {\it mist\/}; pathological geometry or nonabsorbing materials;
+d1150 1
+a1150 1
+ Gregory J.~Ward: ``The RADIANCE Lighting Simulation and
+d1153 2
+a1154 2
+ Greg Ward Larson and Rob Shakespeare: {\it Rendering with
+ RADIANCE\/}. Morgan Kaufmann, San Francisco, 1998
+@
+
+
+1.7
+log
+@Added reference for bias compensation.
+@
+text
+@d11 1
+a11 1
+\date{\today\\ $Revision: 1.6 $}
+d173 4
+a176 2
+conjunction with the photon map. A wavelet representation is being developed
+for these. {\tiny (But don't hold your breath...)}
+@
+
+
+1.6
+log
+@Moved revision into date.
+@
+text
+@d11 1
+a11 1
+\date{\today\\ $Revision: 1.5 $}
+d263 11
+a273 11
+To counter the bias/noise tradeoff, a {\it bias compensating operator\/} was
+developed and incorporated into the irradiance estimate as an option. Its
+purpose is to adapt the bandwidth within a user specified lower and upper
+bound. The operator employs a binary search for an optimal bandwidth based
+on the likelihood that deviations from a running average irradiance are due
+to noise or bias. This results in substantially improved contours in
+nonuniform indirect illumination (particularly caustics) with a slight
+increase in noise in these regions (figure \ref{fig:biascomp}). The operator
+also compensates boundary bias (darkening at polygon edges) and chromatic
+bias. However, this sophistication comes at a hefty price; performance will
+suffer severely under this operator.
+d993 3
+@
+
+
+1.5
+log
+@Test to get RCS revision in title.
+@
+text
+@d10 2
+a11 2
+\title{The RADIANCE Photon Map Manual\\
+ $Revision$}
+d279 1
+a279 1
+ \\[0.02\textwidth]
+d342 1
+a342 1
+ \includegraphics[width=0.65\textwidth]{port1.eps}
+d681 1
+a681 1
+ \includegraphics[width=0.7\textwidth]{visualisation.eps}
+@
+
+
+1.4
+log
+@Added pmapdump stuff.
+@
+text
+@d11 1
+a11 1
+ Version 3.19}
+@
+
+
+1.3
+log
+@Changed some wording...
+@
+text
+@d3 1
+d6 2
+d11 3
+a13 1
+ Version 3.15}
+d16 979
+a994 1007
+ \maketitle
+
+ \tableofcontents
+
+ \section{Introduction}
+
+ The RADIANCE rendering system \cite{Ward94} is a very versatile and
+ powerful tool for lighting simulation, and one of the very few
+ physically based renderers with available source code. However,
+ developments in light redirecting materials have presented new
+ challenges in their simulation; their specular nature makes them
+ difficult to simulate with RADIANCE, often merely resulting in a noisy
+ mess. Some are downright impossible to simulate correctly with RADIANCE
+ or bog the system down with high computational overhead.
+
+ Particularly the phenomenon of caustics poses a serious problem for
+ RADIANCE. Caustics are the bright, iridescent highlights on diffuse
+ surfaces caused by specular reflection or refraction. A typical example
+ is the cardioid pattern seen inside a cup or metal ring (figure
+ \ref{fig:caustic}). To quote chapter 13 of {\it Rendering with
+ RADIANCE\/} \cite{Ward98},
+ \begin{quote}
+ ``Other cases involving curved, specular reflectors pose similar
+ difficulties for {\tt mkillum}, and the only long-term solution seems
+ to be the creation of a forward raytracing module for computing these
+ kinds of illums.''
+ \end{quote}
+ The problem is actually far more fundamental due to RADIANCE's backward
+ raytracing methodology, and not restricted to {\tt mkillum} alone.
+
+ \begin{figure}[!htb]
+ \begin{center}
+ \includegraphics[angle=-90, width=0.75\textwidth]{caustic.ps}
+ \parbox{0.75\textwidth}{\caption{Photograph of metal ring caustic.}
+ \label{fig:caustic}}
+ \end{center}
+ \end{figure}
+
+ RADIANCE's difficulties with sophisticated light redirecting materials
+ necessitated the development of the forward raytracing module mentioned
+ above as a supplementary algorithm. The photon map \cite{Jens96, Jens97,
+ Jens00} was chosen for a number of reasons:
+
+ \begin{itemize}
+ \item Apart from handling indirect diffuse illumination, it handles
+ caustics efficiently and has become the algorithm of choice for
+ this purpose.
+ \item It is straightforward to integrate into existing ray tracing
+ environments.
+ \item It is decoupled from the scene geometry and thus can handle
+ arbitrarily complex objects, including procedural and even
+ fractal ones. This also enables using the photon map to simulate
+ indirect illumination in volumes, such as participating media
+ \cite{Jens98}.
+ \item It represents a view independent solution to the indirect
+ illumination and thus opens up the possiblity of interactive
+ walkthroughs as with the Radiosity method.
+ \end{itemize}
+
+ The photon map is based on a (light) particle transport simulation, which
+ lends its name. Each photon interacts with the objects it strikes and is
+ either reflected, transmitted, or absorbed, depending on the
+ characteristics of the material. A Monte Carlo sampling method is used
+ to generate the reflected or transmitted directions of a photon if it
+ survives. Eventually a particle is terminated either by absorbtion or
+ leakage (if it leaves the scene), and a new photon is emitted.
+
+
+
+ \section{Overview of the Implementation}
+
+ The photon map algorithm comprises two steps:
+
+ \begin{description}
+ \item{\bf Photon distribution:}
+ as a preprocess, photons are emitted from all light sources and
+ probabilistically reradiated or absorbed upon striking a surface
+ or passing through a volume, depending on its properties. The
+ result is a view independent representation of the indirect
+ illumination (figure \ref{fig:cornell_distrib}).
+ \item{\bf Photon gathering:}
+ during the actual rendering, the indirect illumination for a point
+ on a surface or within a volume is determined by finding a number
+ of nearest photons to the point. The irradiance is then
+ proportional to the photon density (figure \ref{fig:nnsearch}).
+ \end{description}
+
+ \begin{figure}[!htb]
+ \begin{center}
+ \includegraphics[width=0.48\textwidth]{cornell_distrib1.eps}
+ \hspace{\stretch{1}}
+ \includegraphics[width=0.48\textwidth]{cornell_distrib2.eps}
+ \parbox{\textwidth}{\caption{Global photon distribution in
+ the diffuse Cornell box. Left:
+ individual photon paths. Dots
+ indicate stored photons. Right:
+ photon distribution after completion
+ of forward pass.}
+ \label{fig:cornell_distrib}}
+ \end{center}
+ \end{figure}
+
+ \begin{figure}[!htb]
+ \begin{center}
+ \resizebox{0.8\textwidth}{!}{\input{nnsearch.pstex_t}}
+ \parbox{0.8\textwidth}{\caption{Gathering photons via nearest
+ neighbour search.}
+ \label{fig:nnsearch}}
+ \end{center}
+ \end{figure}
+
+ The distribution step is performed by the {\tt mkpmap} utility. It is
+ responsible for building the photon map and saving it to a file for
+ subsequent reuse by {\tt rpict}\footnote{Unless noted otherwise, {\tt
+ rpict} also implies its siblings {\tt rtrace} and {\tt rview}.} for the
+ actual rendering and photon gathering.
+
+ \noindent Four photon types are available:
+ \begin{description}
+ \item{\bf Global photons} account for all indirect (ambient)
+ illumination incident on surfaces with a diffuse component.
+ \item{\bf Caustic photons} account for all indirect specular to
+ diffuse transfers, i.e. caustics. These transport paths are also
+ accounted for by global photons, but not visualised directly like
+ caustics.
+ \item{\bf Volume photons} account for indirect illumination within
+ participating media using the {\it mist\/} primitive.
+ \item{\bf Direct photons} account for the direct component from light
+ sources and are only intended as a debugging option.
+ \end{description}
+ Each photon type is stored in a separate photon map and visualised
+ differently.
+
+ The stock RADIANCE functionality (referred to here as RADIANCE
+ Classic$^\mathsf{TM}$) is preserved in {\tt rpict} if no command line
+ arguments pertaining to the photon map are given. When rendering with the
+ photon map, the ambient calculation is augmentented by a photon map
+ density estimate, but the direct and indirect specular components are
+ still delivered by RADIANCE Classic.
+
+
+
+
+ \subsection{Supported Primitives}
+
+ Material types in RADIANCE require additional code to probabilistically
+ generate outgoing directions for incident photons using monte carlo
+ methods. This has been done for those materials with fixed BRDFs / BTDFs:
+
+ \begin{description}
+ \item{Gaussian:}
+ {\it plastic, metal, trans, plastic2, metal2, trans2}
+ \item{Refracting/Reflecting:}
+ {\it glass, dielectric, interface, mirror}
+ \item{Mixtures:}
+ {\it mixfunc, mixdata}
+ \item{Patterns:}
+ {\it colorfunc, brightfunc, colordata, brightdata, colorpict}
+ \item{Textures:}
+ {\it texfunc, texdata}
+ \item{Volumes:}
+ {\it mist, antimatter}
+ \end{description}
+
+ Materials for user defined BRDFs / BTDFs such as {\it plasfunc, metfunc,
+ transfunc, brtdfunc, plasdata, metdata,\/} and {\it transdata\/} are
+ currently {\bf not} supported due to the high sampling overhead in
+ conjunction with the photon map. A wavelet representation is being
+ developed for these. {\tiny (But don't hold your breath...)}
+
+ In order for volume photons to function correctly with materials which
+ modify the coefficient of extinction and scattering albedo (i.e. {\it
+ dielectric\/} and {\it interface\/}), it is necessary to surround the
+ light source(s) and viewpoint with a mist boundary (e.g. {\it bubble\/}),
+ unless one intends to restrict volume photons to a small section of the
+ scene. Participating media are essentially hacked into RADIANCE, and this
+ calls for peculiar workarounds. In order to get volume caustics from
+ light passing through an object, it must also be surrounded by a mist
+ boundary. Alternatively, the mist parameters can be set globally on the
+ command line, however this requires setting the source and viewpoint
+ boundaries' extinction to zero, otherwise extinction is accumulated.
+ Furthermore, {\tt rpict} only accounts for inscattering along rays of
+ finite length, i.e. which intersect a local object. The scene therefore
+ requires peripheral geometry to delineate a finite expanse of mist, e.g.
+ a mist boundary for the entire scene. Confusing? Blame Greg!
+
+ Light sources require additional code for photon emission. Currently
+ supported primitives are {\it light, spotlight, glow,\/} and {\it
+ source.\/} To ensure accurate distribution light source geometries are
+ partitioned to a user specified resolution, and photons emitted from
+ each partition. In the case of the {\it source\/} primitive there is no
+ geometry to partition; instead, the scene cube faces are partitioned and
+ act as emitters, unless photon {\it ports\/} are used (see section
+ \ref{sec:ports}). The {\it glow\/} primitive acts as a regular light
+ source. Virtual sources are disabled with the photon map, since caustic
+ photons already account for these effects.
+
+ Light sources may be modified by function files. During photon emission,
+ the predefined variables passed to them (see {\tt rayinit.cal}) are
+ defined in terms of the photon origin on the light source:
+ \begin{itemize}
+ \item the emitted photon's direction {\tt Dx}, {\tt Dy}, and {\tt Dz}
+ points towards the photon origin
+ \item {\tt Nx}, {\tt Ny}, and {\tt Nz} is the normal on the light
+ source surface at the photon origin
+ \item {\tt Px}, {\tt Py}, and {\tt Pz} is the emitted photon's origin
+ \item {\tt T} and {\tt Ts} are undefined
+ \item {\tt Rdot} is the dot product of the surface normal and the
+ photon's direction at its origin.
+ \end{itemize}
+
+
+
+
+ \subsection{Optimisations}
+
+ A number of optimisations have been incorporated into the
+ implementation to either improve performance or accuracy. The user
+ must be aware of the fact that most of these optimisations incur
+ trade-offs; increasing performance will inevitably compromise
+ accuracy, and vice versa. Such is the harsh reality of Monte Carlo.
+
+
+
+
+ \subsubsection{Final Gather}
+
+ Per Christensen's {\it final gather\/} scheme \cite{Chri00} has been
+ integrated into the implementation and is available as an option to
+ accelerate the global photon gathering step. Global photon irradiance is
+ precomputed for a fraction of the photon positions and stored with the
+ photons. This reduces the overhead of global photon lookups during the
+ gathering phase; only the single closest global photon is retrieved, and
+ its precomputed irradiance can be used directly (figure
+ \ref{fig:finalgather}). However, final gather has the disadvantage of
+ introducing bias to the solution for scenes with nonuniform indirect
+ illumination. When accurate simulation is required it's best to forego
+ this option. Final gather may also be combined with the bias compensating
+ operator explained below.
+
+ \begin{figure}[!htb]
+ \begin{center}
+ \includegraphics[width=0.6\textwidth]{finalgather1.ps}
+ \parbox{0.9\textwidth}{\caption{Radiance derived from precomputed
+ global photon irradiance for final
+ gather. Note the caustic from the
+ glass sphere.}
+ \label{fig:finalgather}}
+ \end{center}
+ \end{figure}
+
+
+
+
+
+ \subsubsection{Bias Compensation}
+
+ The number of photons used for an irradiance estimate (also referred to
+ as the estimate {\it bandwidth\/}) affords the user control over the
+ quality and accuracy of the rendering by trading off between noise and
+ bias. Setting this too low may result in excessive noise. Setting this
+ too high may result in excessive blurring and local bias in the solution.
+
+ To counter the bias/noise tradeoff, a {\it bias compensating operator\/}
+ was developed and incorporated into the irradiance estimate as an option.
+ Its purpose is to adapt the bandwidth within a user specified lower and
+ upper bound. The operator employs a binary search for an optimal
+ bandwidth based on the likelihood that deviations from a running average
+ irradiance are due to noise or bias. This results in substantially
+ improved contours in nonuniform indirect illumination (particularly
+ caustics) with a slight increase in noise in these regions (figure
+ \ref{fig:biascomp}). The operator also compensates boundary bias
+ (darkening at polygon edges) and chromatic bias. However, this
+ sophistication comes at a hefty price; performance will suffer severely
+ under this operator.
+
+ \begin{figure}[!htb]
+ \begin{center}
+ \includegraphics[angle=-90, width=0.6\textwidth]
+ {spot-bias-50000-false.ps}\\[0.5cm]
+ \includegraphics[angle=-90, width=0.6\textwidth]
+ {spot-biascomp-50000-false.ps}
+ \parbox{0.9\textwidth}{\caption{Top: falsecolour rendering of
+ severely biased caustic with a
+ bandwidth of 5000 photons. The
+ caustic should have an irradiance
+ of 10 $W/m^2$. Bottom: falsecolour
+ rendering of the same caustic with
+ bias compensation using a
+ bandwidth of 50--5000 photons.}
+ \label{fig:biascomp}}
+ \end{center}
+ \end{figure}
+
+
+
+
+ \subsubsection{Irradiance Thresholds}
+
+ Performance can be tweaked with the {\it irradiance threshold\/}
+ parameter, which can be specified separately for each photon type. This
+ is assumed to be the minimum visible irradiance contributed by the photon
+ map. A maximum search radius for photon gathering is derived from this
+ threshold based on the photon flux and the number of photons to gather.
+ No photons beyond this radius will be searched, which can speed up the
+ search dramatically. This of course presupposes some knowledge of the
+ lighting levels in the scene on behalf of the user. Unfortunately,
+ setting the threshold too high will result in frequent ``short'' gathers,
+ finding fewer photons than requested. While this isn't tragic, it can
+ introduce noise or banding. However, grossly overestimated thresholds can
+ lead to the complete omission of low indirect illumination, which is
+ unacceptable, except possibly for crude previews. With reasonable
+ settings the artifacts are usually quite subtle while still yielding a
+ performance gain. Caustics benefit most from this parameter, since they
+ are only visible where the photons cluster, while the rest of the scene
+ is sparse and therefore contributes negligible illumination.
+
+
+
+
+ \subsubsection{Photon Ports}
+ \label{sec:ports}
+
+ Emitting photons from the {\it source\/} primitive presents a
+ challenge; there is no local geometry associated with these distant
+ sources. While the default behaviour is to emit photons from the
+ scene cube faces, this can become highly inefficient for sources
+ with large solid angles. These are infact situations for which a
+ forward raytracer is fundamentally inappropriate. RADIANCE Classic's
+ backward raytracer fares better here, since sending a ray to a large
+ source is trivial. With the forward raytracer, the majority of
+ emitted photons will be lost and won't contribute to the photon
+ map. To aggravate the situation, distant sources are often used to
+ render interior daylit spaces. With the viewer positioned inside,
+ the few photons that actually strike the geometry must also pass
+ through windows or skylights before they can even contribute visibly
+ to the photon map. Needless to say, this amounts to abysmal
+ performance.
+
+ A simple workaround to the problem is the concept of photon {\it
+ ports\/}. The ports are basically apertures through which photons can
+ enter the space containing the viewpoint. These can be windows,
+ skylights, but also invisible polygons within the scene (figure
+ \ref{fig:port}). There is a price to pay however, since this scheme
+ requires user intervention. The user must define the port geometry and
+ specify them according to their modifiers. If the user places the ports
+ intelligently, the photon loss factor will be reduced dramatically,
+ resulting in a substantial increase in performance.
+
+ \begin{figure}[!htb]
+ \begin{center}
+ \includegraphics[width=0.85\textwidth]{port1.eps}
+ \parbox{0.9\textwidth}{\caption{Typical daylighting geometry with
+ window as photon port for distant
+ sources.}
+ \label{fig:port}}
+ \end{center}
+ \end{figure}
+
+ All objects using the specified port modifiers act as ports during photon
+ distribution. Photons are emitted directly from the ports rather than
+ from the scene cube faces. The ports must be defined in the scene
+ description such that the surface normals point {\bf outside}. The
+ incident flux from distant sources is evaluated at each port and the
+ sources are checked for occlusion. However, no interreflection
+ calculation is made; ports differ from {\it illums\/} in this respect.
+ Photons are scattered by the port upon emission as if they had passed
+ through it.
+
+ In some cases ports may not coincide with any scene geometry. These
+ situations call for invisible ports. Photons should be emitted from
+ them, but they should not be affected by scattering through the port,
+ and the port should not be visible during rendering. The simple
+ solution is to define photon ports using the {\it antimatter\/}
+ modifier, with {\it void\/} as its only string argument.
+
+ Photon ports are the only optimisation in the implementation which
+ do not compromise accuracy for performance, assuming the user knows
+ what he/she/it is doing. It should also be noted that the photon
+ port concept in the current release is a simple hack as an interim
+ to a more sophisticated and flexible distribution method. Future
+ implementations may use importance information for photon paths to
+ yield more intelligent and efficient distribution, possibly even
+ without user intervention. {\tiny (Or not. Probably not.)}
+
+
+
+
+ \section{Photon Distribution with {\tt mkpmap}}
+
+ The {\tt mkpmap} utility accepts a RADIANCE octree as input and generates
+ a photon map of each specified type for the scene. The photons are stored
+ in a space subdividing data structure \cite{Bent75} which facilitates
+ nearest neighbour queries required for the gathering step. The data
+ structure is written to a portable binary file for subsequent use by {\tt
+ rpict}.
+
+ If a photon map with the specified file name already exists, {\tt mkpmap}
+ aborts without overwriting. The need for this protection stems from the
+ frustration of having photon maps from very long previous distribution
+ passes obliterated by the command line history! There is no ``clobber''
+ option; the files must be renamed or removed by hand. This is an
+ annoyance, but better safe than sorry...
+
+
+
+
+ \subsection{Distribution Algorithm}
+
+ The parametrisation of the distribution step is primarily intended to be
+ user friendly; the user specifies the required number of photons stored
+ in each map. These are treated as ``targets'' which the photon
+ distribution code tries to attain, since there is no way of knowing the
+ outcome of the distribution a priori. The distribution algorithm makes an
+ educated guess at the number of photons it must emit in order to satisfy
+ the targets. This is based on the results of a distribution prepass in
+ which a small number of photons (a fraction of the minimum specified
+ target) is emitted and distributed. Since the distribution process scales
+ linearly, the remaining number of photons to emit can be predicted and
+ distributed in the main pass. The actual number of photons generated
+ after the distribution is complete will approximate the targets.
+
+
+
+ \subsection{Distribution Failure}
+
+ The distribution step may bog down and terminate after a user specified
+ number of distribution prepass attempts if any of the specified photon
+ maps are still empty. This is usually an indication of a scene anomaly or
+ an incompatible photon map specification. This is intended as a
+ convenience for the user; without it, {\tt mkpmap} would end up in an
+ infinite loop. It is nevertheless the user's responsibility to specify
+ compatible photon map types and to check the validity of the scene.
+
+ \noindent The following situations can cause {\tt mkpmap} to fail:
+
+ \begin{itemize}
+
+ \item pathological scenes in which none of the light sources see
+ any geometry
+
+ \item specifying a global photon map for a scene containing no
+ materials with diffuse component
+
+ \item specifying a caustic photon map for a scene containing no
+ materials with diffuse or specular component
+
+ \item specifying a volume photon map for a scene lacking the
+ {\it mist\/} primitive.
+
+ \end{itemize}
+
+
+
+ \subsection{Runaway Photons}
+
+ Photons may become trapped inside {\it dielectric\/} or {\it
+ interface\/} materials, often due to infinite total reflection.
+ These ``runaway'' photons are terminated after a user defined bounce
+ limit is exceeded, and a warning is issued under the assumption that
+ this is an anomaly of the scene geometry.
+
+
+
+ \subsection{Progress Report}
+
+ If progress reports are enabled, {\tt mkpmap} will report the following
+ during distribution:
+ \begin{quote}
+ {\tt $N_e$ emitted, $N_g$ global, $N_c$ caustic, $N_v$ volume,
+ $N_d$ direct, $P$\% after $T$ hours},
+ \end{quote}
+ where:
+ \begin{itemize}
+ \item $N_e$ is the total number of emitted photons
+ \item $N_g$, $N_c$, $N_v$, and $N_d$ is the number of global, caustic,
+ volume, and direct photons stored, respectively
+ \item $P$ is the percentage completed
+ \item $T$ is the time elapsed.
+ \end{itemize}
+
+ When precomputing global photon irradiance a report will also be issued
+ with the number of precomputed photons $N_p$:
+ \begin{quote}
+ {\tt $N_p$ precomputed, $P$\% after $T$ hours},
+ \end{quote}
+
+ If precomputation is combined with bias compensation, error statistics
+ will also be reported (see section \ref{sec:rpict.report}).
+
+
+
+
+ \subsection{Command line arguments for {\tt mkpmap}}
+
+ The general synopsis of the {\tt mkpmap} utility is:
+ \begin{quote}
+ {\tt mkpmap [options] octree}
+ \end{quote}
+ The options are as follows:
+ \begin{description}
+
+ \item{\tt -apg <file> <nphotons>}\\ The output file name and
+ approximate number of photons for the global photon map.
+
+ \item{\tt -app <file> <nphotons> <bandwidth>}\\ The output file name
+ for the precomputed global photon map, the approximate number of
+ photons (before precomputation), and the number of photons
+ (bandwidth) to use for the precomputed irradiance estimate.
+
+ \item{\tt -appb <file> <nphotons> <nestimate\_min> <nestimate\_max>}\\
+ Same as above, but applying bias compensation within the minimum
+ and maximum number of photons on the precomputed irradiance
+ estimate.
+
+ \item{\tt -appt <thresh>} \\ Irradiance threshold for precomputed
+ global photon map in $W/m^2$.
+
+ \item{\tt -apc <file> <nphotons>}\\ The output file name and
+ approximate number of photons for the caustic photon map.
+
+ \item{\tt -apv <file> <nphotons>}\\ The output file name and
+ approximate number of photons for the volume photon map. Volume
+ photons can only be used with octrees containing the {\it mist\/}
+ primitive.
+
+ \item{\tt -apd <file> <nphotons>}\\ The output file name and
+ approximate number of photons for the direct photon map. Direct
+ photon maps are useful to determine suitable settings for the {\tt
+ -ds} and {\tt -dp} options when using light sources with modifiers.
+ This can provide a visual check for the resolution of the
+ probability density function used for photon emission in
+ conjunction with complex output distributions. It can also serve as
+ a validation tool for comparison with RADIANCE's direct component.
+ The quality of the direct photon irradiance is poor, and only
+ accounts for surfaces with diffuse component. For these reasons,
+ the direct photon map is strictly a debugging option. It is in no
+ way intended to replace RADIANCE's direct calculation.
+
+ \item{\tt -apD <frac>}\\ Fraction of the minimum number of photons
+ specified which are emitted in the distribution prepass. Increase
+ this if the number of stored photons differs substantially from
+ your specified targets. This parameter may exceed 1.
+
+ \item{\tt -apf <frac>}\\ Fraction of global photons to precompute for
+ final gather, in the range $]0,1]$. The remaining photons are
+ discarded.
+
+ \item{\tt -apm <max>}\\
+ Specifies the maximum number of bounces for a photon before
+ termination as runaway photon.
+
+ \item{\tt -apM <max>}\\
+ Specifies the maximum number of distribution prepass attempts
+ before terminating if some photon maps are still empty. This should
+ only be increased under very unusual circumstances, as it normally
+ indicates a scene anomaly or photon map specifications which are
+ incompatible with the scene.
+
+ \item{\tt -apo <mod>}\\
+ Specifies photon port modifier. All objects with this modifier will
+ act as ports for photons emitted from the {\it source\/} primitive.
+ This option can be used in mutliple instances with cumulative
+ effect.
+
+ \item{\tt -apO <file>}\\
+ Photon port modifiers are read from the specified file.
+
+ \item{\tt -bv}\\
+ Toggles backface visibility. Enabling this switch causes photons to
+ be stored and possibly reradiated if they strike the back of a
+ surface, otherwise they are ignored and immediately absorbed.
+
+ \item{\tt -dp <res>}\\ Resolution for sampling user defined light
+ source emission distributions, in samples per steradian. This is
+ required for numerically integrating the flux emitted by the light
+ source and for constructing a probability density function (PDF)
+ for photon emission. The accuracy of photon emission with user
+ specified distributions depends on this parameter. Increase it if
+ caustics exhibit spurious artifacts.
+
+ \item{\tt -ds <frac>}\\ Light source partition size ratio; light
+ sources are partitioned to distribute the photon emission over its
+ surface. This parameter specifies the ratio of the size (per
+ dimension) of each partition to the scene cube.
+
+ \item{\tt -e <file>}\\
+ Redirect diagnostics and progress reports to specified file.
+
+ \item{\tt -i <inc>}\\
+ Photon heap size increment; photon heaps are enlarged by this
+ amount when storage overflows. No need to fiddle with this.
+
+ \item{\tt -ma <ralb> <galb> <balb>}\\
+ Global scattering albedo. See {\tt rpict}.
+
+ \item{\tt -me <rext> <gext> <bext>}\\
+ Global extinction coefficient. See {\tt rpict}.
+
+ \item{\tt -mg <gecc>}\\
+ Global scattering eccentricity. See {\tt rpict}.
+
+ \item{\tt -t <sec>}\\
+ Generate progress report in specified intervals.
+ \end{description}
+
+ The {\tt -apc}, {\tt -apv}, and {\tt -apd} options can be freely combined
+ with either {\tt -apg}, {\tt -app}, or {\tt -appb}. At least one of these
+ must be specified... or nothing happens!
+
+
+
+
+ \section{Querying the Photon Map with {\tt pmapinfo}}
+
+ The {\tt pmapinfo} tool supplies the following information about a photon
+ map:
+ \begin{itemize}
+ \item the photon map type as identified by magic number:
+ \begin{itemize}
+ \item {\tt Radiance\_Global\_Photon\_Map},
+ \item {\tt Radiance\_PreComp\_Global\_Photon\_Map},
+ \item {\tt Radiance\_Caustic\_Photon\_Map},
+ \item {\tt Radiance\_Volume\_Photon\_Map}, or
+ \item {\tt Radiance\_Direct\_Photon\_Map}
+ \end{itemize}
+ \item the {\tt mkpmap} command line used to build the photon map
+ \item the number of photons in the photon map
+ \item the photon flux averaged over the RGB colour channels.
+ \end{itemize}
+
+
+
+
+ \section{Photon Gathering with {\tt rpict}}
+
+ The modified {\tt rpict} rendering tool takes the photon map generated by
+ {\tt mkpmap} and perform the photon gathering and density estimation.
+ Without photon map functionality enabled, it behaves like RADIANCE
+ Classic.
+
+
+
+
+ \subsection{Caustic Photon Visualisation}
+
+ Caustic photons are visualised at points seen directly by the observer,
+ or via specular reflections. Virtual light sources are disabled with the
+ caustic photon map, since these effects are already accounted for. Note
+ that irradiance calculations with {\tt rtrace} using caustic photons are
+ surface bound. Irradiance for points which do not lie on surfaces will be
+ biased.
+
+
+
+
+ \subsection{Global Photon Visualisation}
+
+ Global photons are visualised via an intermediate ambient bounce, which
+ reduces noise (figure \ref{fig:visualisation}). An exception to the rule
+ is a debugging option which directly visualises the global photons.
+ Ambient values (specified with {\tt -av}) are ignored. The global photon
+ irradiance may be optionally precomputed by {\tt mkpmap} to speed things
+ up at the expense of accuracy.
+ \begin{figure}[!htb]
+ \begin{center}
+ \includegraphics[width=0.75\textwidth]{visualisation.eps}
+ \parbox{0.9\textwidth}{\caption{Caustic photons are visualised at
+ the primary ray, while an
+ intermediate stratified sampling
+ step is used between the primary
+ ray and the global photon
+ contribution.}
+ \label{fig:visualisation}}
+ \end{center}
+ \end{figure}
+
+
+
+
+
+ \subsection{Progress Report}
+ \label{sec:rpict.report}
+
+ Bias compensation statistics are provided in the progress report with the
+ standard {\tt -t} option. The statistics reported for each photon type
+ subject to bias compensation are as follows:
+ \begin{quote}
+ {\tt $N_{min}$/$N_{max}$/$N_{avg}$ $ptype$,
+ ($\epsilon_{min}$/$\epsilon_{max}$/$\epsilon_{rms}$ error)},
+ \end{quote}
+ where:
+ \begin{itemize}
+ \item $N_{min}$, $N_{max}$, and $N_{avg}$ are the minimum, maximum,
+ and average number of photons used per irradiance estimate,
+ respectively
+ \item $ptype$ is one of {\tt global}, {\tt caustic}, {\tt volume}, or
+ {\tt direct}.
+ \item \sloppy $\epsilon_{min}$, $\epsilon_{max}$, and $\epsilon_{rms}$
+ are the minimum, maximum, and RMS (root mean square) estimated
+ relative errors in the irradiance estimates, respectively.
+ \end{itemize}
+
+ Since bias cannot be determined without knowing the actual illumination
+ there is no reliable way of separating it from noise. As such, the error
+ estimates are crude and only serve as a guide to judge the quality of
+ the operator and its parametrisation.
+
+
+
+
+ \subsection{Command Line Arguments for {\tt rpict}}
+
+ The photon map is disabled by default and must be explicitly enabled
+ using one or more of the {\tt -ap} options. The different photon map
+ types may be renderered independently or in combination. Note that
+ rendering only the global or caustic photon map does not take all light
+ transport paths into consideration, and may omit some indirect
+ illumination. Since modifying the lights or geometry invalidates the
+ photon map, a warning is issued if the octree is newer than the photon
+ map.
+
+ The multitude of options can be daunting for beginners, and it helps to
+ start with a basic set of parameters upon which to refine if necessary. A
+ physically valid simulation using the photon map is obtained with the
+ following basic parameters:
+ \begin{quote}
+ \sloppy
+ {\tt mkpmap -apg <pmap> <nphotons> -apc <pmap> <nphotons> <octree>\\
+ rpict -apg <pmap> <bwidth> -apc <pmap> <bwidth> -ab 1 -vf <view>
+ <octree>}
+ \end{quote}
+ As with RADIANCE Classic, the {\tt -ad}, {\tt -ar}, and {\tt -aa}
+ parameters must be modified in some cases to improve the rendering
+ quality. Parameters pertaining to caustic photons must be omitted for
+ scenes lacking specular materials. The {\tt rpict} photon map options are
+ as follows:
+ \begin{description}
+
+ \item{\tt -ab <nbounces>}\\ The number of ambient bounces; setting
+ this to a positive value will include global photon contributions
+ via {\bf one} ambient bounce (regardless of the actual number
+ specified). The irradiance cache may be applied to the top level
+ ambient rays, but photon map lookups are not cached. Setting this
+ to a negative value will visualise the global photons directly.
+ With precomputed global photons this produces a Voronoi diagram.
+ The quality of the resulting renderings is usually abysmal, hence
+ this setting is primarily intended for debugging purposes, e.g. to
+ check the illuminance distribution. Caustic photons are not
+ visualised with this setting, because the directly visualised
+ global photon map already accounts for them in this case. As with
+ RADIANCE Classic, the default value of 0 disables the ambient
+ component; global photons are not visualised, but caustic photons
+ are still visualised directly.
+
+ \item{\tt -apg <file> <bwidth>}\\ Loads the global photon map from the
+ file and uses the specified number of photons (bandwidth) for a
+ global irradiance estimate.
+
+ \item{\tt -apgb <file> <minbwidth> <maxbwidth>}\\ Same as above, but
+ applying bias compensation within the minimum and maximum bandwidth
+ to the global irradiance estimate.
+
+ \item{\tt -apgt <thresh>} \\ Irradiance threshold for global photon
+ map in $W/m^2$.
+
+ \item{\tt -app <file>}\\ Loads the precomputed global photon map from
+ the file and uses the precomputed irradiance for final gather.
+
+ \item{\tt -apc <file> <bwidth>}\\ Loads the caustic photon map from
+ the file and uses the specified number of photons (bandwidth) for a
+ caustic irradiance estimate.
+
+ \item{\tt -apcb <file> <minbwidth> <maxbwidth>}\\ Same as above, but
+ applying bias compensation within the minimum and maximum bandwidth
+ to the caustic irradiance estimate.
+
+ \item{\tt -apct <thresh>} \\ Irradiance threshold for caustic photon
+ map in $W/m^2$.
+
+ \item{\tt -apv <file> <bwidth>}\\ Loads the volume photon map from
+ the file and uses the specified number of photons (bandwidth) for
+ a volume irradiance estimate within the {\it mist\/} primitive.
+
+ \item{\tt -apvb <file> <minbwidth> <maxbwidth>}\\ Same as above, but
+ applying bias compensation within the minimum and maximum bandwidth
+ to the volume irradiance estimate.
+
+ \item{\tt -apvt <thresh>} \\ Irradiance threshold for volume photon
+ map in $W/m^2$.
+
+ \item{\tt -apd <file> <bwidth>}\\ Loads the direct photon map from
+ the file and uses the specified number of photons (bandwidth) for
+ a direct irradiance estimate. RADIANCE's direct calculation is
+ disabled, and only surfaces with diffuse component are accounted
+ for. This is stricly a debugging and validation option, and
+ rarely needed in practice.
+
+ \item{\tt -apdb <file> <minbwidth> <maxbwidth>}\\ Same as above, but
+ applying bias compensation within the minimum and maximum bandwidth
+ to the direct irradiance estimate.
+
+ \item{\tt -apdt <thresh>} \\ Irradiance threshold for direct photon
+ map in $W/m^2$.
+
+ \end{description}
+
+
+
+
+ \section{Bugs and Weirdness}
+
+ \begin{itemize}
+
+% \item Although analytical validation has shown the photon map can
+% achieve an accuracy within $\pm 0.5\%$ for very simple scenes,
+% the simulated lighting levels can deviate very slightly
+% seriously from Real\-Life$^\mathsf{TM}$ when complex geometry is
+% involved or inappropriate parameters are used. An experimental
+% validation based on measurements under more realistic conditions
+% is still being evaluated.
+
+ \item The spotlight focal point is ignored by the photon map; it
+ coincides with the light source surface. This corresponds to
+ specifying a direction vector of infinitesimal length in
+ RADIANCE Classic.
+
+ \item {\tt mkpmap}'s distribution algorithm can exceed the specified
+ number of photons with scenes having high reflectance or when
+ excessively high settings of {\tt -apD} are used.
+
+ \item Caustic photon irradiance will be biased when passing {\tt
+ rtrace} points which do not lie on a surface.
+
+ \end{itemize}
+
+
+
+
+ \section{Parameter Ranges}
+
+ The following table lists typical ranges for various parameters used with
+ {\tt mkpmap} and {\tt rpict}. It is primarily aimed at novices, who are
+ no doubt bewildered by the plethora of options. The ranges are
+ recommendations based on the developer's experience, and should not be
+ interpreted as fixed constraints. In some situations it is not unlikely
+ to use settings far beyond the typical range.
+
+ \begin{table}[!htb]
+ \begin{center}
+ \begin{tabular}{|l|l|}
+ \hline
+ {\tt mkpmap} parameter & typical range \\
+ \hline
+ \hline
+ {\tt <nphotons>} & 50000--1000000 \\
+ {\tt -apD} & 0.1--10 \\
+ {\tt -apf} & 0.25--0.5 \\
+ {\tt -apm} & 5000--10000 \\
+ {\tt -dp} & 1000--100000 \\
+ {\tt -ds} & 0.0001--0.01 \\
+ \hline
+ \hline
+ {\tt rpict} parameter & typical range \\
+ \hline
+ \hline
+ {\tt <bwidth>} & 50--2000 \\
+ {\tt <thresh>} & 0.001--0.1 \\
+ \hline
+ \end{tabular}
+ \caption{Parameter ranges for {\tt mkpmap} and {\tt rpict}.}
+ \end{center}
+ \end{table}
+
+
+
+
+ \clearpage
+ \section{Troubleshooting}
+
+ \begin{table}[!htb]
+ \begin{center}
+ \begin{tabular}
+ {|p{0.3\textwidth}|p{0.3\textwidth}|p{0.3\textwidth}|}
+ \hline
+ {\bf Problem} & {\bf Cause} & {\bf Solution} \\
+ \hline
+ \hline
+ {\tt mkpmap} stores too many photons &
+ Too many emitted photons in distribution prepass &
+ Reduce {\tt -apD} \\
+ \hline
+ Number of stored photons differs substantially from
+ specification &
+ Too few photons emitted in distribution prepass; prediction for
+ main pass inaccurate &
+ Increase {\tt -apD} \\
+ \hline
+ Excessive noise in photon irradiance &
+ Bandwidth too low &
+ Increase bandwidth \\
+ \hline
+ Excessive blurring in photon irradiance &
+ Bandwidth too high &
+ Decrease bandwidth or increase size of photon map \\
+ \hline
+ Excessive noise and blurring in different regions &
+ Bandwidth is fixed &
+ Apply bias compensation for dynamic bandwidth \\
+ \hline
+ Severe irradiance falloff at polygon edges &
+ Boundary bias due to high bandwidth &
+ Reduce bandwidth or apply bias compensation \\
+ \hline
+ Splotchy ambient illumination from global photons &
+ Excessively noisy density estimates; too few ambient samples;
+ irradiance caching too inaccurate &
+ Check density estimate with {\tt -ab -1}, and increase bandwidth
+ if necessary; increase {\tt -ad} if illumination has high
+ variance or contains caustics; increase {\tt -ar} and/or decrease
+ {\tt -aa} \\
+ \hline
+ Banding in photon irradiance &
+ Maximum photon search radius too small &
+ Decrease irradiance threshold \\
+ \hline
+ {\tt mkpmap} complains about runaway photons &
+ Photons stuck in infinite scattering loop, possibly pathological
+ geometry or materials &
+ Check geometry and materials; increase {\tt -apm} \\
+ \hline
+ Direct photon irradiance from modified light source deviates
+ significantly &
+ Probability density function cannot adequately resolve emission
+ distribution; too few source partitions &
+ Increase {\tt -dp}; if distribution varies over surface, decrease
+ {\tt -ds} \\
+ \hline
+ \end{tabular}
+ \caption{Troubleshooting chart.}
+ \end{center}
+ \end{table}
+
+ \begin{table}[!htb]
+ \begin{center}
+ \begin{tabular}
+ {|p{0.3\textwidth}|p{0.3\textwidth}|p{0.3\textwidth}|}
+ \hline
+ {\bf Problem} & {\bf Cause} & {\bf Solution} \\
+ \hline
+ \hline
+ {\tt mkpmap} is slow with {\it source\/} primitive &
+ {\it source\/} emits from scene cube faces &
+ Define photon ports \\
+ \hline
+ {\tt mkpmap} bogs down in light source flux integration &
+ Excessively high probability density function resolution; too
+ many source partitions &
+ Decrease {\tt -dp}; increase {\tt -ds} \\
+ \hline
+ {\tt mkpmap} bails out after too many distribution prepasses &
+ Using caustic photons with non-specular geometry; using volume
+ photons without {\it mist\/}; pathological geometry or
+ nonabsorbing materials; light sources see no geometry &
+ Check scene and specify compatible photon types \\
+ \hline
+ Everything is slow &
+ User expects too much &
+ Twiddle thumbs \\
+ \hline
+ \end{tabular}
+ \caption{Troubleshooting chart (continued).}
+ \end{center}
+ \end{table}
+
+
+
+
+ \begin{thebibliography}{99}
+ \bibitem[Ward94]{Ward94}
+ Gregory J.~Ward: ``The RADIANCE Lighting Simulation and
+ Rendering System''. Proceedings SIGGRAPH~'94, July~1994
+ \bibitem[Ward98]{Ward98}
+ Greg Ward Larson and Rob Shakespeare: {\it Rendering with
+ RADIANCE\/}. Morgan Kaufmann, San Francisco, 1998
+ \bibitem[Jens96]{Jens96}
+ Henrik Wann Jensen: ``Global Illumination using Photon Maps''.
+ Rendering Techniques '96, Eds. X.~Pueyo and P.~Schr\"oder,
+ Springer-Verlag, 1996
+ \bibitem[Jens97]{Jens97}
+ Henrik Wann Jensen: ``Rendering Caustics on Non-Lambertian
+ Surfaces''. Computer Graphics Forum, vol.~16~(1), March~1997
+ \bibitem[Jens98]{Jens98}
+ Henrik Wann Jensen and Per H.~Christensen: ``Efficient
+ Simulation of Light Transport in Scenes with Participating
+ Media using Photon Maps''. Proceedings SIGGRAPH~'98, July~1998
+ \bibitem[Jens00]{Jens00}
+ Henrik Wann Jensen and Niels J{\o}rgen Christensen: ``A
+ Practical Guide to Global Illumination using Photon Maps''.
+ SIGGRAPH~2000 Course Notes~8, July~2000
+ \bibitem[Bent75]{Bent75}
+ Jon Louis Bentley: ``Multidimensional Binary Search Trees
+ Used for Associative Searching''. CACM 18(9), 1975
+ \bibitem[Chri00]{Chri00}
+ Per Christensen: ``Faster Photon Map Global Illumination''.
+ Journal of Graphics Tools, vol.~4~(3), April~2000
+ \end{thebibliography}
+@
+
+
+1.2
+log
+@Documented -apM and distrib prepass termination
+@
+text
+@d438 7
+a444 7
+ number of distribution prepasses if any of the specified photon maps are
+ still empty. This is usually an indication of a scene anomaly or an
+ incompatible photon map specification. This is intended as a convenience
+ for the user; without it, {\tt mkpmap} would end up in an infinite loop.
+ It is nevertheless the user's responsibility to specify compatible photon
+ map types and to check the validity of the scene.
+
+d564 6
+a569 6
+ Specifies the maximum number of distribution prepasses before
+ terminating if some photon maps are still empty. This should only be
+ increased under very unusual circumstances, as it normally indicates
+ a scene anomaly or photon map specifications which are incompatible
+ with the scene.
+
+@
+
+
+1.1
+log
+@Initial revision
+@
+text
+@d8 1
+a8 1
+ Version 3.12}
+d128 1
+a128 1
+ Four photon types are available:
+d435 29
+a474 1
+
+d563 7
+d821 1
+a821 1
+ \section{Bugs}
+d825 7
+a831 7
+ \item Although analytical validation has shown the photon map can
+ achieve an accuracy within $\pm 0.5\%$ for very simple scenes,
+ the simulated lighting levels can deviate very slightly
+ seriously from Real\-Life$^\mathsf{TM}$ when complex geometry is
+ involved or inappropriate parameters are used. An experimental
+ validation based on measurements under more realistic conditions
+ is still being evaluated.
+a843 16
+
+ \item \sloppy Pathological scenes containing light sources which see
+ no geometry will leave {\tt mkpmap} in an infinite loop.
+
+ \item {\tt mkpmap} may wind up in an infinite loops in the
+ following situations:
+ \begin{itemize}
+ \item specifying a global photon map for a scene containing
+ no materials with diffuse component
+ \item specifying a caustic photon map for a scene containing no
+ materials with diffuse or specular component
+ \item specifying a volume photon map for a scene lacking the
+ {\it mist\/} primitive.
+ \end{itemize}
+ It is the user's responsibility to specify compatible photon map
+ types for the scene.
+d971 1
+a971 1
+ {\tt mkpmap} stuck in infinite loop &
+@

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