2D Deconvolution using FFT in Matlab Problems

Question

I have convoluted an image I created in matlab with a 2D Gaussian function which I have also defined in matlab and now I am trying to deconvolve the resultant matrix to see

Answer 1

R = FC/Fimg needs to be R = FC./Fimg; You need to do division element-wise.

Answer 2

Here are some Octave (version 3.6.2) plots of that deconvolved Gaussian.

% deconvolve in frequency domain
Fimg = fft2(img,599,599);
FC = fft2(C);
R = FC ./ Fimg;
r = ifft2(R);

% show deconvolved Gaussian
figure(1);
subplot(2,3,1), imshow(img), title('image');
subplot(2,3,2), imshow(Z), title('Gaussian');
subplot(2,3,3), imshow(C), title('image blurred by Gaussian');
subplot(2,3,4), mesh(X,Y,Z), title('initial Gaussian');
subplot(2,3,5), imagesc(real(r(1:300,1:300))), colormap gray, title('deconvolved Gaussian');
subplot(2,3,6), mesh(X,Y,real(r(1:300,1:300))), title('deconvolved Gaussian');

% show difference between Gaussian and deconvolved Gaussian
figure(2);
gdiff = Z - real(r(1:300,1:300));
imagesc(gdiff), colorbar, colormap gray, title('difference between initial Gaussian and deconvolved Guassian');