A proximal method for inverse problems in image processing

Pierre Weiss 1 Laure Blanc-Féraud 2
2 ARIANA - Inverse problems in earth monitoring
CRISAM - Inria Sophia Antipolis - Méditerranée , Laboratoire I3S - SIS - Signal, Images et Systèmes
Abstract : In this paper, we present a new algorithm to solve some inverse problems coming from the field of image processing. The models we study consist in minimizing a regularizing, convex criterion under a convex and compact set. The main idea of our scheme consists in solving the underlying variational inequality with a proximal method rather than the initial convex problem. Using recent results of A. Nemirovski [13], we show that the scheme converges at least as O(1/k) (where k is the iteration counter). This is in some sense an optimal rate of convergence. Finally, we compare this approach to some others on a problem of image cartoon+texture decomposition.
Type de document :
Communication dans un congrès
EUSIPCO, Aug 2009, Glasgow, United Kingdom. 2009
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Soumis le : mercredi 16 septembre 2009 - 16:18:32
Dernière modification le : lundi 5 novembre 2018 - 15:52:01
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  • HAL Id : inria-00417712, version 1



Pierre Weiss, Laure Blanc-Féraud. A proximal method for inverse problems in image processing. EUSIPCO, Aug 2009, Glasgow, United Kingdom. 2009. 〈inria-00417712〉



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