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68 lines
2.6 KiB
Matlab
68 lines
2.6 KiB
Matlab
% Proyects a 1D function onto orthonormalized base, returns residual too
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% The weighting function has not been tested extensively
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% [coeffs reconstrproj] = projectleg1D_2(input,maxorder,Xext,w);
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% March 10, 2009
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% Copyright (c) 2016, Manuel Guizar Sicairos, James R. Fienup, University of Rochester
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% All rights reserved.
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%
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% Redistribution and use in source and binary forms, with or without
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% modification, are permitted provided that the following conditions are
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% met:
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%
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% * Redistributions of source code must retain the above copyright
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% notice, this list of conditions and the following disclaimer.
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% * Redistributions in binary form must reproduce the above copyright
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% notice, this list of conditions and the following disclaimer in
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% the documentation and/or other materials provided with the distribution
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% * Neither the name of the University of Rochester nor the names
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% of its contributors may be used to endorse or promote products derived
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% from this software without specific prior written permission.
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%
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% THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
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% AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
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% IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
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% ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
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% LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
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% CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
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% SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
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% INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
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% CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
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% ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
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% POSSIBILITY OF SUCH DAMAGE.
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function [coeffs, reconstrproj] = projectleg1D_2(input,maxorder,Xext,w)
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import math.legendrepoly1D_2
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polys = legendrepoly1D_2(Xext,maxorder,w);
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reconstrproj = input;
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for ii = 1:length(polys(1,1,:)),
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coeffs(ii) = sum(sum(reconstrproj.*polys(:,:,ii).*w));
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% end
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%
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%
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% for ii = 1:length(polys(1,1,:)),
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reconstrproj = reconstrproj-polys(:,:,ii)*coeffs(ii);
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end
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% coeffs,
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% figure(5);
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% imagesc((real(reconstrproj)));
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% axis square;
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% colorbar;
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% colormap gray;
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% title('extracted from autocorrelation and projected to legendres')
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%
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% figure(6);
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% % imagesc((real(proj)));
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% imagesc((real(reconstrproj-)));
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% axis square;
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% colorbar;
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% colormap gray;
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% title('projection to legendres') |