mirror of
https://github.com/c-sooyoung/fold_slice.git
synced 2026-09-17 17:29:09 +09:00
68 lines
2.6 KiB
Matlab
68 lines
2.6 KiB
Matlab
% Proyects a 1D function onto orthonormalized base, returns residual too
|
|
% The weighting function has not been tested extensively
|
|
% [coeffs reconstrproj] = projectleg1D_2(input,maxorder,Xext,w);
|
|
% March 10, 2009
|
|
|
|
% Copyright (c) 2016, Manuel Guizar Sicairos, James R. Fienup, University of Rochester
|
|
% All rights reserved.
|
|
%
|
|
% Redistribution and use in source and binary forms, with or without
|
|
% modification, are permitted provided that the following conditions are
|
|
% met:
|
|
%
|
|
% * Redistributions of source code must retain the above copyright
|
|
% notice, this list of conditions and the following disclaimer.
|
|
% * Redistributions in binary form must reproduce the above copyright
|
|
% notice, this list of conditions and the following disclaimer in
|
|
% the documentation and/or other materials provided with the distribution
|
|
% * Neither the name of the University of Rochester nor the names
|
|
% of its contributors may be used to endorse or promote products derived
|
|
% from this software without specific prior written permission.
|
|
%
|
|
% THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
|
|
% AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
|
|
% IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
|
|
% ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
|
|
% LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
|
|
% CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
|
|
% SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
|
|
% INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
|
|
% CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
|
|
% ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
|
|
% POSSIBILITY OF SUCH DAMAGE.
|
|
|
|
function [coeffs, reconstrproj] = projectleg1D_2(input,maxorder,Xext,w)
|
|
import math.legendrepoly1D_2
|
|
|
|
polys = legendrepoly1D_2(Xext,maxorder,w);
|
|
reconstrproj = input;
|
|
|
|
|
|
|
|
|
|
for ii = 1:length(polys(1,1,:)),
|
|
coeffs(ii) = sum(sum(reconstrproj.*polys(:,:,ii).*w));
|
|
% end
|
|
%
|
|
%
|
|
% for ii = 1:length(polys(1,1,:)),
|
|
reconstrproj = reconstrproj-polys(:,:,ii)*coeffs(ii);
|
|
|
|
end
|
|
|
|
% coeffs,
|
|
|
|
% figure(5);
|
|
% imagesc((real(reconstrproj)));
|
|
% axis square;
|
|
% colorbar;
|
|
% colormap gray;
|
|
% title('extracted from autocorrelation and projected to legendres')
|
|
%
|
|
% figure(6);
|
|
% % imagesc((real(proj)));
|
|
% imagesc((real(reconstrproj-)));
|
|
% axis square;
|
|
% colorbar;
|
|
% colormap gray;
|
|
% title('projection to legendres') |