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inverse filtering image restoration

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asim asrar
asim asrar on 7 Nov 2019
Answered: Alex Zhang on 12 Sep 2020
clc;
clear all;
close all;
f=rgb2gray(im2double(imread('cameraman.tif')));
f=imresize(f,[256 256])
figure,(imshow(f))
[M,N]=size(f);
% k=2.5;
% for i=1:size(f,1)
% for j=1:size(f,2)
% h(i,j)=exp((-k)*((i-M/2)^2+(j-N/2)^2)^(5/6));
% end
% end
h=fspecial('gaussian',260,2);
g=(imfilter(f,h,'circular'));
figure,imshow(g,[]);
G = fftshift(fft2(g));
figure,imshow(log(abs(G)),[]);
H = fftshift(fft2(h));
figure,imshow(log(abs(H)),[]);
F = zeros(size(f));
R=70;
for u=1:size(f,2)
for v=1:size(f,1)
du = u - size(f,2)/2;
dv = v - size(f,1)/2;
if du^2 + dv^2 <= R^2;
F(v,u) = G(v,u)./H(v,u);
end
end
end
figure,imshow(log(abs(F)),[]);
fRestored = abs(ifft2(ifftshift(F)));
figure,imshow(fRestored, []);
this is my code for inverse filtering
in which restored image is getting fragmented into 4 parts and getting aligned arbitrarily can someone help me fix this

Answers (2)

Robert D Jordan
Robert D Jordan on 2 Apr 2020
Edited: Robert D Jordan on 2 Apr 2020
It looks like your second last line is out of order.
If the line reads:
fRestored = abs(ifftshift(ifft2(F)));
It works for me.
You were shifting before you did your IFFT.
Rob

Alex Zhang
Alex Zhang on 12 Sep 2020
Hi friend, you met this because of the second last code, it should be:
fRestored = abs(ifftshift(ifft2(F)));
I also met similar problems when I do the image restoration. The fftshif() function should always be used after fft2() or ifft2().

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