Solution of inverse problems in image processing by wavelet expansion

Authors:
G. Wang;J. Zhang;G. W. Pan
Affiliations:
Department of Electrical Engineering and Computer Science, University of Wisconsin-Milwaukee, Milwaukee, WI;Department of Electrical Engineering and Computer Science, University of Wisconsin-Milwaukee, Milwaukee, WI;Department of Electrical Engineering and Computer Science, University of Wisconsin-Milwaukee, Milwaukee, WI
Venue:
ICASSP'93 Proceedings of the 1993 IEEE international conference on Acoustics, speech, and signal processing: image and multidimensional signal processing - Volume V
Year:
1993

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Abstract

In this paper, we describe a wavelet approach to linear inverse problems in image processing. In this approach, the images and the operator to be inverted are expanded by wavelets and various constraints for a regularized solution are enforced through wavelet coefficients. This approach also provides a solution to an important problem in multigrid/ multiresolution processing: representing an operator in different resolutions. The application of the proposed approach is demonstrated through image restoration.