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Optical Engineering

Iterative regularized least-mean mixed-norm image restoration
Author(s): Min-Cheol Hong; Tania Stathaki; Aggelos K. Katsaggelos
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Paper Abstract

We develop a regularized mixed-norm image restoration algorithm to deal with various types of noise. A mixed-norm functional is introduced, which combines the least mean square (LMS) and the least mean fourth (LMF) functionals, as well as a smoothing functional. Two regularization parameters are introduced: one to determine the relative importance of the LMS and LMF functionals, which is a function of the kurtosis, and another to determine the relative importance of the smoothing functional. The two parameters are chosen in such a way that the proposed functional is convex, so that a unique minimizer exists. An iterative algorithm is utilized for obtaining the solution, and its convergence is analyzed. The novelty of the proposed algorithm is that no knowledge of the noise distribution is required, and the relative contributions of the LMS, the LMF, and the smoothing functionals are adjusted based on the partially restored image. Experimental results demonstrate the effectiveness of the proposed algorithm.

Paper Details

Date Published: 1 October 2002
PDF: 10 pages
Opt. Eng. 41(10) doi: 10.1117/1.1503072
Published in: Optical Engineering Volume 41, Issue 10
Show Author Affiliations
Min-Cheol Hong, Soongsil Univ. (South Korea)
Tania Stathaki, Imperial College of Science, Technology, and Medicine (United Kingdom)
Aggelos K. Katsaggelos, Northwestern Univ. (United States)

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