A Nash-game approach to joint image restoration and segmentation |
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| Institution: | 1. IPEIT, Université de Tunis, 2, Rue Jawaher Lel Nehru, 1089 Montfleury, Tunisia;2. Laboratoire LERMA, EMI, Université Mohammed V – Agdal Rabat, Avenue Ibnsina, B.P. 765 Agdal Rabat, Morocco;3. Laboratoire J.A. Dieudonné, Université de Nice, Sophia Antipolis, 06108 Nice Cedex 02, France;4. INRIA Sophia Antipolis, Opale Project 2004, route des Lucioles, B.P. 93, 06902 Sophia Antipolis Cedex, France;5. Laboratoire LAMSIN, ENIT, Université Tunis El Manar, B.P. 37, 1002 Tunis, Tunisia |
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| Abstract: | 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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| Keywords: | Image restoration Image segmentation Game theory Nash equilibrium |
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