An approximation of the Mumford-Shah energy by a family of discrete edge-preserving functionals

Abstract : We show the Gamma-convergence of a family of discrete functionals to the Mumford and Shah image segmentation functional. The functionals of the family are constructed by modifying the elliptic approximating functionals proposed by Ambrosio and Tortorelli. The quadratic term of the energy related to the edges of the segmentation is replaced by a nonconvex functional.
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Nonlinear Analysis Theory Methods and Applications, Elsevier, 2006, 64 (9), pp.1908-1930
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https://hal.inria.fr/inria-00417759
Contributeur : Laure Blanc-Féraud <>
Soumis le : mercredi 16 septembre 2009 - 17:37:23
Dernière modification le : jeudi 24 mars 2016 - 01:05:49

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Gilles Aubert, Laure Blanc-Féraud, Riccardo March. An approximation of the Mumford-Shah energy by a family of discrete edge-preserving functionals. Nonlinear Analysis Theory Methods and Applications, Elsevier, 2006, 64 (9), pp.1908-1930. <inria-00417759>

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