%% dft2demo3
%% show symmetrically replicated image and log of shifted |DFT|

% get image
load clown
X = [X,fliplr(X)];
X = [X;flipud(X)];

% get 2D FFT of image
FX = fft2(X); 
sFX = fftshift(FX);

% display results 
figure(1)
showgimg(X,128)
figure(2)
showgimg(log(ones(size(sFX))+abs(sFX)),128)