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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. http://resolver.caltech.edu/CaltechAUTHORS:LINip04

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Abstract

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.


Item Type:Article
Related URLs:
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http://dx.doi.org/10.1088/0266-5611/20/3/010DOIUNSPECIFIED
http://www.iop.org/EJ/abstract/0266-5611/20/3/010PublisherUNSPECIFIED
http://stacks.iop.org/ip/20/815PublisherUNSPECIFIED
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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Record Number:CaltechAUTHORS:LINip04
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:LINip04
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:11772
Collection:CaltechAUTHORS
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Deposited On:24 Sep 2008 05:38
Last Modified:26 Dec 2012 10:19

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