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%function out=shiftpp(in,rows,cols)␍%performs partial-pixel shift (with wraparound) using FFT␍% Modified from shiftpp.m to correct a phase factor that appeared when using␍% odd sized arrays. ␍% Manuel Guizar - Dec 13, 2007␍␍% 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 out=shiftpp2(in,rows,cols)␍␍[nr,nc]=size(in);␍Nr = ifftshift([-fix(nr/2):ceil(nr/2)-1]);␍Nc = ifftshift([-fix(nc/2):ceil(nc/2)-1]);␍[Nc,Nr] = meshgrid(Nc,Nr);␍out = ifft2(fft2(in).*exp(i*2*pi*(rows*Nr/nr+cols*Nc/nc)));␍return␍