Can anyone really help to explain the Weiss procedure of deconvolution process with FFT ?

Can anyone help to explain the Weiss procedure of deconvolution process with FFT ?


In my understanding, the deconvolution process with FFT is to use divide operator instead of the deconvolution operator, that is


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In order to convolve two functions 'a' and 'b', we can take their Fourier


Transform(FT) and multiply them in Fourier domain i.e.


C= FT(a) * FT(b)


c = IFT(C)


and then Inverse Ft(IFT) of 'C' gives us the convolution of 'a' and 'b'.


Now if we want to deconvolve 'a' from 'c' to get 'b' we can do


B = FT(c)/FT(a)


b = IFT(B)


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however, when i read the paper by Wiess, he used a normalization function g,


and a delta function delta, to implement the deconvolution,


(in equation (6) and (7))


what do the equations mean??? why Weiss design the equation?





thank you!








in this paper


Deriving intrinsic images from image sequences


Weiss Y.


proc. ICCV 2001





download paper:


http://www.ai.mit.edu/courses/6.899/pape...

Can anyone really help to explain the Weiss procedure of deconvolution process with FFT ?
Dude, you are wasting your time. Go to a newsgroup for this kind of thing.
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Reply:great question!