SOLUTION OF INVERSE PROBLEMS IN IMAGE-PROCESSING BY WAVELET EXPANSION

In this paper, we describe a wavelet-base approach to linear inverse p roblems 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 inve rse problem. The constraints for a regularized solution are enforced t hrough wavelet expansion coefficients, A unique feature of the wavelet approach is a general and consistent scheme for representing an opera tor in different resolutions, an important problem in multigrid/multir esolution processing. This and the sparseness of the representation in duce a multigrid algorithm, The proposed approach was tested on image restoration problems and produced good results.