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Solution of inverse problems in image processing by wavelet expansion
Gaofeng Wang; Jun Zhang; Guang-Wen Pan;
Image Processing, IEEE Transactions on
Volume 4,
Issue 5,
May 1995
Page(s):579
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593
Abstract:
We describe a wavelet-based approach to linear inverse problems in image processing. In this approach, both the images and the linear operator to be inverted are represented by wavelet expansions, leading to a multiresolution sparse matrix representation of the inverse problem. The constraints for a regularized solution are enforced through wavelet expansion coefficients. A unique feature of the wavelet approach is a general and consistent scheme for representing an operator in different resolutions, an important problem in multigrid/multiresolution processing. This and the sparseness of the representation induce a multigrid algorithm. The proposed approach was tested on image restoration problems and produced good results
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