Régularité et parcimonie pour les problèmes inverses en imagerie : algorithmes et comparaisons

Mikael Carlavan 1, * Pierre Weiss 2 Laure Blanc-Féraud 1
* Corresponding author
1 ARIANA - Inverse problems in earth monitoring
CRISAM - Inria Sophia Antipolis - Méditerranée , Laboratoire I3S - SIS - Signal, Images et Systèmes
Abstract : This article is a survey on regularization techniques for inverse problems based on l1 criteria. We split these criteria in two categories : those which promote regularity of the signal (e.g. total variation) and those which express the fact that a signal is sparse in some dictionnary. In the first part of the paper, we give guidelines to choose a prior and propose a comparative study of these two priors on standard transforms such as total variation, redundant wavelets, and curvelets. In the second part of the paper, we give a sketch of different first order algorithms adpated to the minimization of these l1-terms.
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https://hal.inria.fr/inria-00503050
Contributor : Mikael Carlavan <>
Submitted on : Friday, July 16, 2010 - 4:09:57 PM
Last modification on : Thursday, October 17, 2019 - 8:55:17 AM
Long-term archiving on : Thursday, June 30, 2011 - 1:18:40 PM

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Mikael Carlavan, Pierre Weiss, Laure Blanc-Féraud. Régularité et parcimonie pour les problèmes inverses en imagerie : algorithmes et comparaisons. Traitement du Signal, Lavoisier, 2010. ⟨inria-00503050⟩

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