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iCAPs_v2/packages/gspbox/operators/gsp_pyramid_cell2coeff.m
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gsp_pyramid_cell2coeff.m
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function coeff = gsp_pyramid_cell2coeff(ca,pe)
%GSP_PYRAMID_CELL2COEFF Cell array to vector transform for the pyramid
% Usage: coeff = gsp_pyramid_cell2coeff(ca,pe);
%
% Input parameters:
% ca : Cell array with the coarse approximation at each level
% pe : Cell array with the prediction errors at each level
% Output parameters:
% coeff : Vector of coefficient
%
% This function compress the cell array ca and pe into a single
% vector of coefficients. It keeps the smaller coarse approximation and
% the prediction errors.
%
% Example:
%
% [ca,pe] = gsp_pyramid_analysis(Gs, f);
% coeff = gsp_pyramid_cell2coeff(ca,pe);
%
% See also: gsp_pyramid_analysis gsp_pyramid_synthesis
% gsp_graph_multiresolution
%
% Demo: gsp_demo_pyramid
%
%
% Url: http://lts2research.epfl.ch/gsp/doc/operators/gsp_pyramid_cell2coeff.php
% Copyright (C) 2013-2016 Nathanael Perraudin, Johan Paratte, David I Shuman.
% This file is part of GSPbox version 0.7.0
%
% This program is free software: you can redistribute it and/or modify
% it under the terms of the GNU General Public License as published by
% the Free Software Foundation, either version 3 of the License, or
% (at your option) any later version.
%
% This program is distributed in the hope that it will be useful,
% but WITHOUT ANY WARRANTY; without even the implied warranty of
% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
% GNU General Public License for more details.
%
% You should have received a copy of the GNU General Public License
% along with this program. If not, see <http://www.gnu.org/licenses/>.
% If you use this toolbox please kindly cite
% N. Perraudin, J. Paratte, D. Shuman, V. Kalofolias, P. Vandergheynst,
% and D. K. Hammond. GSPBOX: A toolbox for signal processing on graphs.
% ArXiv e-prints, Aug. 2014.
% http://arxiv.org/abs/1408.5781
% Author: Nathanael Perraudin
% Date : 5 Aout 2014
% Testing : test_pyramid
Nl = length(ca) - 1;
N = 0;
for ii = 1 : (Nl+1)
N = N+length(ca{ii});
end
Nv = size(ca{Nl}, 2);
coeff = zeros(N,Nv);
Nt = length(ca{Nl+1});
coeff(1:Nt, :) = ca{Nl+1};
ind = Nt+1;
for ii = 1 : Nl
Nt = length(ca{Nl+1-ii});
coeff(ind:(ind+Nt-1), :) = pe{Nl+1-ii};
ind = ind + Nt;
end
if (ind-1) ~= N
error('Something is wrong here: contact the gspbox team')
end
end
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