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Article Dans Une Revue SIAM Journal on Imaging Sciences Année : 2010

Application of the topological gradient method to color image restoration

Didier Auroux
Lamia Jaafar Belaid
  • Fonction : Auteur
Badreddine Rjaibi
  • Fonction : Auteur

Résumé

The aim of this paper is to generalize to color images the topological gradient method for the restoration problem. First, we consider a simple extension from grey-level to color images, by considering a channel by channel method. Then, as there should be some coupling between the different channels, we propose considering a tensorial approach: the Di Zenzo gradient. We derive an asymptotic expansion of this gradient with respect to the insertion of a small crack in the image, and we propose a new algorithm based on the topological gradient for the color image restoration problem. Finally, we illustrate these two approaches with numerical results.

Dates et versions

hal-01275633 , version 1 (17-02-2016)

Identifiants

Citer

Didier Auroux, Lamia Jaafar Belaid, Badreddine Rjaibi. Application of the topological gradient method to color image restoration. SIAM Journal on Imaging Sciences, 2010, 3 (2), pp.153-175. ⟨10.1137/080721017⟩. ⟨hal-01275633⟩
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