Page Menu
Home
c4science
Search
Configure Global Search
Log In
Files
F80721187
rbox.htm
No One
Temporary
Actions
Download File
Edit File
Delete File
View Transforms
Subscribe
Mute Notifications
Award Token
Subscribers
None
File Metadata
Details
File Info
Storage
Attached
Created
Mon, Sep 2, 06:31
Size
8 KB
Mime Type
text/html
Expires
Wed, Sep 4, 06:31 (1 d, 22 h)
Engine
blob
Format
Raw Data
Handle
20431611
Attached To
rCADDMESH CADD_mesher
rbox.htm
View Options
This document is not UTF8. It was detected as Shift JIS and converted to UTF8 for display.
<!DOCTYPE HTML PUBLIC "-//IETF//DTD HTML//EN">
<html>
<head>
<title>
rbox -- generate point distributions
</title>
</head>
<body>
<!-- Navigation links -->
<p><b><a
name=
"TOP"
>
Up:
</a></b>
<a
href=
"http://www.geom.umn.edu/software/qhull"
>
Home page
</a>
for Qhull
<br>
<b>
Up:
</b>
<a
href=
"index.htm#TOC"
>
Qhull manual
</a>
: Table of Contents
<br>
<b>
To:
</b>
<a
href=
"qh-quick.htm#programs"
>
Programs
</a>
•
<a
href=
"qh-quick.htm#options"
>
Options
</a>
•
<a
href=
"qh-opto.htm#output"
>
Output
</a>
•
<a
href=
"qh-optf.htm#format"
>
Formats
</a>
•
<a
href=
"qh-optg.htm#geomview"
>
Geomview
</a>
•
<a
href=
"qh-optp.htm#print"
>
Print
</a>
•
<a
href=
"qh-optq.htm#qhull"
>
Qhull
</a>
•
<a
href=
"qh-optc.htm#prec"
>
Precision
</a>
•
<a
href=
"qh-optt.htm#trace"
>
Trace
</a><br>
<b>
To:
</b>
<a
href=
"#synopsis"
>
sy
</a>
nopsis
•
<a
href=
"#outputs"
>
ou
</a>
tputs
•
<a
href=
"#examples"
>
ex
</a>
amples
•
<a
href=
"#notes"
>
no
</a>
tes
•
<a
href=
"#options"
>
op
</a>
tions
<hr>
<!-- Main text of document -->
<h1><a
href=
"http://www.geom.umn.edu/graphics/pix/Special_Topics/Computational_Geometry/cone.html"
><img
src=
"qh--cone.gif"
alt=
"[CONE]"
align=
"middle"
width=
"100"
height=
"100"
></a>
rbox -- generate point distributions
</h1>
<blockquote>
rbox generates random or regular points according to the
options given, and outputs the points to stdout. The
points are generated in a cube, unless 's', 'x', or 'y'
are given.
</blockquote>
<h3><a
href=
"#TOP"
>
ｻ
</a><a
name=
"synopsis"
>
rbox synopsis
</a></h3>
<pre>
rbox- generate various point distributions. Default is random in cube.
args (any order, space separated):
3000 number of random points in cube, lens, spiral, sphere or grid
D3 dimension 3-d
c add a unit cube to the output ('c G2.0' sets size)
d add a unit diamond to the output ('d G2.0' sets size)
l generate a regular 3-d spiral
r generate a regular polygon, ('r s Z1 G0.1' makes a cone)
s generate cospherical points
x generate random points in simplex, may use 'r' or 'Wn'
y same as 'x', plus simplex
Pn,m,r add point [n,m,r] first, pads with 0
Ln lens distribution of radius n. Also 's', 'r', 'G', 'W'.
Mn,m,r lattice (Mesh) rotated by [n,-m,0], [m,n,0], [0,0,r], ...
'27 M1,0,1' is {0,1,2} x {0,1,2} x {0,1,2}. Try 'M3,4 z'.
W0.1 random distribution within 0.1 of the cube's or sphere's surface
Z0.5 s random points in a 0.5 disk projected to a sphere
Z0.5 s G0.6 same as Z0.5 within a 0.6 gap
Bn bounding box coordinates, default 0.5
h output as homogeneous coordinates for cdd
n remove command line from the first line of output
On offset coordinates by n
t use time as the random number seed (default is command line)
tn use n as the random number seed
z print integer coordinates, default 'Bn' is 1e+06
</pre>
<h3><a
href=
"#TOP"
>
ｻ
</a><a
name=
"outputs"
>
rbox outputs
</a></h3>
<blockquote>
The format of the output is the following: first line contains
the dimension and a comment, second line contains the
number of points, and the following lines contain the points,
one point per line. Points are represented by their coordinate values.
<p>
For example,
<tt>
rbox c 10 D2
</tt>
generates
<blockquote>
<pre>
2 RBOX c 10 D2
14
-0.4999921736307369 -0.3684622117955817
0.2556053225468894 -0.0413498678629751
0.0327672376602583 -0.2810408135699488
-0.452955383763607 0.17886471718444
0.1792964061529342 0.4346928963760779
-0.1164979223315585 0.01941637230982666
0.3309653464993139 -0.4654278894564396
-0.4465383649305798 0.02970019358182344
0.1711493843897706 -0.4923018137852678
-0.1165843490665633 -0.433157762450313
-0.5 -0.5
-0.5 0.5
0.5 -0.5
0.5 0.5
</pre>
</blockquote>
</blockquote>
<h3><a
href=
"#TOP"
>
ｻ
</a><a
name=
"examples"
>
rbox examples
</a></h3>
<pre>
rbox 10
10 random points in the unit cube centered at the
origin.
rbox 10 s D2
10 random points on a 2-d circle.
rbox 100 W0
100 random points on the surface of a cube.
rbox 1000 s D4
1000 random points on a 4-d sphere.
rbox c D5 O0.5
a 5-d hypercube with one corner at the origin.
rbox d D10
a 10-d diamond.
rbox x 1000 r W0
100 random points on the surface of a fixed simplex
rbox y D12
a 12-d simplex.
rbox l 10
10 random points along a spiral
rbox l 10 r
10 regular points along a spiral plus two end
points
rbox 1000 L10000 D4 s
1000 random points on the surface of a narrow lens.
rbox 1000 L100000 s G1e-6
1000 random points near the edge of a narrow lens
rbox c G2 d G3
a cube with coordinates +2/-2 and a diamond with
coordinates +3/-3.
rbox 64 M3,4 z
a rotated, {0,1,2,3} x {0,1,2,3} x {0,1,2,3} lat-
tice (Mesh) of integer points.
rbox P0 P0 P0 P0 P0
5 copies of the origin in 3-d. Try 'rbox P0 P0 P0
P0 P0 | qhull QJ'.
r 100 s Z1 G0.1
two cospherical 100-gons plus another cospherical
point.
100 s Z1
a cone of points.
100 s Z1e-7
a narrow cone of points with many precision errors.
</pre>
<h3><a
href=
"#TOP"
>
ｻ
</a><a
name=
"notes"
>
rbox notes
</a></h3>
<blockquote>
Some combinations of arguments generate odd results.
</blockquote>
<h3><a
href=
"#TOP"
>
ｻ
</a><a
name=
"options"
>
rbox options
</a></h3>
<pre>
n number of points
Dn dimension n-d (default 3-d)
Bn bounding box coordinates (default 0.5)
l spiral distribution, available only in 3-d
Ln lens distribution of radius n. May be used with
's', 'r', 'G', and 'W'.
Mn,m,r lattice (Mesh) rotated by {[n,-m,0], [m,n,0],
[0,0,r], ...}. Use 'Mm,n' for a rigid rotation
with r = sqrt(n^2+m^2). 'M1,0' is an orthogonal
lattice. For example, '27 M1,0' is {0,1,2} x
{0,1,2} x {0,1,2}.
s cospherical points randomly generated in a cube and
projected to the unit sphere
x simplicial distribution. It is fixed for option
'r'. May be used with 'W'.
y simplicial distribution plus a simplex. Both 'x'
and 'y' generate the same points.
Wn restrict points to distance n of the surface of a
sphere or a cube
c add a unit cube to the output
c Gm add a cube with all combinations of +m and -m to
the output
d add a unit diamond to the output.
d Gm add a diamond made of 0, +m and -m to the output
Pn,m,r add point [n,m,r] to the output first. Pad coordi-
nates with 0.0.
n Remove the command line from the first line of out-
put.
On offset the data by adding n to each coordinate.
t use time in seconds as the random number seed
(default is command line).
tn set the random number seed to n.
z generate integer coordinates. Use 'Bn' to change
the range. The default is 'B1e6' for six-digit
coordinates. In R^4, seven-digit coordinates will
overflow hyperplane normalization.
Zn s restrict points to a disk about the z+ axis and the
sphere (default Z1.0). Includes the opposite pole.
'Z1e-6' generates degenerate points under single
precision.
Zn Gm s
same as Zn with an empty center (default G0.5).
r s D2 generate a regular polygon
r s Z1 G0.1
generate a regular cone
</pre>
<!-- Navigation links -->
<hr>
<p><b>
Up:
</b>
<a
href=
"http://www.geom.umn.edu/software/qhull"
>
Home page
</a>
for Qhull
<br>
<b>
Up:
</b>
<a
href=
"index.htm#TOC"
>
Qhull manual
</a>
: Table of Contents
<br>
<b>
To:
</b>
<a
href=
"qh-quick.htm#programs"
>
Programs
</a>
•
<a
href=
"qh-quick.htm#options"
>
Options
</a>
•
<a
href=
"qh-opto.htm#output"
>
Output
</a>
•
<a
href=
"qh-optf.htm#format"
>
Formats
</a>
•
<a
href=
"qh-optg.htm#geomview"
>
Geomview
</a>
•
<a
href=
"qh-optp.htm#print"
>
Print
</a>
•
<a
href=
"qh-optq.htm#qhull"
>
Qhull
</a>
•
<a
href=
"qh-optc.htm#prec"
>
Precision
</a>
•
<a
href=
"qh-optt.htm#trace"
>
Trace
</a><br>
<b>
To:
</b>
<a
href=
"#synopsis"
>
sy
</a>
nopsis
•
<a
href=
"#outputs"
>
ou
</a>
tputs
•
<a
href=
"#examples"
>
ex
</a>
amples
•
<a
href=
"#notes"
>
no
</a>
tes
•
<a
href=
"#options"
>
op
</a>
tions
<!-- GC common information -->
<hr>
<p><a
href=
"http://www.geom.umn.edu/"
><img
src=
"qh--geom.gif"
align=
"middle"
width=
"40"
height=
"40"
></a><i>
The Geometry Center
Home Page
</i></p>
<p>
Comments to:
<a
href=
mailto:qhull@geom.umn.edu
>
qhull@geom.umn.edu
</a>
<br>
Created: Sept. 25, 1995 ---
<!-- hhmts start -->
Last modified: August 12, 1998
<!-- hhmts end -->
</p>
</body>
</html>
Event Timeline
Log In to Comment