A Nash-game approach to joint image restoration and segmentation

Moez Kallel; Rajae Aboulaich; Abderrahmane Habbal; Maher Moakher

hal-00648708, version 1

A Nash-game approach to joint image restoration and segmentation

Moez Kallel ¹, Rajae Aboulaich^a^, 2, Abderrahmane Habbal () ^3, 4, Maher Moakher^b^, 5

(2011)

Résumé : We propose a game theory approach to simultaneously restore and segment noisy images. We define two players: one is restoration, with the image intensity as strategy, and the other is segmentation with contours as strategy. Cost functions are the classical relevant ones for restoration and segmentation, respectively. The two players play a static game with complete information, and we consider as solution to the game the so-called Nash Equilibrium. For the computation of this equilibrium we present an iterative method with relaxation. The results of numerical experiments performed on some real images show the relevance and efficiency of the proposed algorithm.

a – Ecole Mohammadia d'Ingénieurs
b – Ecole Nationale dÍngénieurs de Tunis
1 : Institut Préparatoire aux Etudes d'Ingénieur de Tunis (IPEIT)
Université de Tunis
2 : Laboratoire d'Etudes et Recherche en Mathématiques Appliquées (LERMA)
Ecole Mohammadia d'Ingénieurs
3 : Laboratoire Jean Alexandre Dieudonné (JAD)
CNRS : UMR6621 – Université Nice Sophia Antipolis [UNS]
4 : OPALE (INRIA Sophia Antipolis / INRIA Grenoble Rhône-Alpes)
INRIA – CNRS : UMR6621 – Université Nice Sophia Antipolis [UNS]
5 : Ecole Nationale d'Ingénieurs de Tunis (ENIT)
Ecole Nationale d'Ingénieurs de Tunis

hal-00648708, version 1
http://hal.inria.fr/hal-00648708
oai:hal.inria.fr:hal-00648708
Contributeur : Abderrahmane Habbal <>
Soumis le : Mardi 6 Décembre 2011, 11:51:36
Dernière modification le : Mardi 6 Décembre 2011, 12:03:53

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