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Write an m-file "myfourier.m" which takes two images, computes FFT, phase and amplitude and swaps the amplitudes between two images.
function myfourier im1=imread('cameraman.png'); imd1=double(im1); im2=imread('class_f.png'); imd2=double(im2); FI1=fft2(imd1); phase1=angle(FI1); amplitude1=abs(FI1); FI2=fft2(imd2); phase2=angle(FI2); amplitude2=abs(FI2); NFI1=amplitude1.*exp(i*phase1); NFI2=amplitude2.*exp(i*phase2); RI1=ifft2((NFI1)); RI2=ifft2((NFI2)); figure;imshow(real(RI1),[]); figure;imshow(real(RI2),[]); NFI1=amplitude1.*exp(i*phase2); NFI2=amplitude2.*exp(i*phase1); RI1=ifft2((NFI1)); RI2=ifft2((NFI2)); figure;imshow(real(RI1),[]); figure;imshow(real(RI2),[]);
What information is encoded in the amplitude and phase? How the change of phase and amplitude affects the transformed image?
prove abc+abc''+ab''c+a''bc=ab+ac+bc
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