Anthony
2006-04-23 20:39:44 UTC
In my understanding, the deconvolution process with FFT is to use divide operator instead of the deconvolution operator, that is
--------------
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)
--------------------------
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/papers/13_02.PDF