Image processing problem

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mr_k

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hi,
Can you help me?

Let f(x,y) be an M x N image, and let F(u,v) be its Fourier transform. Let g(x,y) be an image of dimensions (2M) x (2N) , whose Fourier transform G(u,v) is generated from F(u,v) by inserting a row of Zeros (0's) between every two rows of F, and a column of Zeros (0's) between every two columns of F.
What does the image g(x,y) look like in terms of f(x,y) ?

thanks
 



For example, I consider F(x,y) be an image of order 2 x 2. If I insert a row of Zeros (0's) between every two rows of F, and a column of Zeros (0's) between every two columns of F. Then, it become G(x,y) image of order 3 x 3 but not 4 x 4.
So, Please check your question once.

Even, insertion of zeros leads to black image.
 

hi,We need to add zeros at the edges,like that:
**broken link removed**

I think the answer is g(x,y)= 0.25f(x mod M,y mod N) but i dont know prove it.
 

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