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A Nash-game approach to joint image restoration and segmentation
Applied Mathematical Modelling (2014)
  • Moez Kallal, University of Tunis El Manar
  • Rajae Aboulaich
  • Abderrahmane Habbal
  • Maher Moakher, University of Tunis El Manar
We propose a game-theoretic 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.
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Moez Kallal, Rajae Aboulaich, Abderrahmane Habbal and Maher Moakher. "A Nash-game approach to joint image restoration and segmentation" Applied Mathematical Modelling Vol. 38 Iss. 11-12 (2014)
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