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Solving a variational image restoration model which involves L∞ constraints

Lintner, Stéphane and Malgouyres, François (2004) Solving a variational image restoration model which involves L∞ constraints. Inverse Problems, 20 (3). pp. 815-831. ISSN 0266-5611. doi:10.1088/0266-5611/20/3/010.

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In this paper, we seek a solution to linear inverse problems arising in image restoration in terms of a recently posed optimization problem which combines total variation minimization and wavelet-thresholding ideas. The resulting nonlinear programming task is solved via a dual Uzawa method in its general form, leading to an efficient and general algorithm which allows for very good structure-preserving reconstructions. Along with a theoretical study of the algorithm, the paper details some aspects of the implementation, discusses the numerical convergence and eventually displays a few images obtained for some difficult restoration tasks.

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Additional Information:© Institute of Physics and IOP Publishing Limited 2004. Received 16 July 2003, in final form 22 January 2004. Published 26 March 2004. Print publication: Issue 3 (June 2004). The authors would like to thank Frédéric Falzon (Alcatel Space) for his support. The work of SL was supported by Alcatel Space Industry, while studying at the Ecole Normale Supérieure de Cachan (France).
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Issue or Number:3
Record Number:CaltechAUTHORS:LINip04
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:11772
Deposited By: Archive Administrator
Deposited On:24 Sep 2008 05:38
Last Modified:12 Jul 2022 19:46

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