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

Gilles Aubert; Laure Blanc-Féraud; Riccardo March

inria-00417759, version 1

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

Gilles Aubert ¹, Laure Blanc-Féraud () ², Riccardo March () ³

Nonlinear Analysis Theory Methods and Applications 64, 9 (2006) 1908-1930

Résumé : 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.

1 : Laboratoire Jean Alexandre Dieudonné (JAD)
CNRS : UMR6621 – Université Nice Sophia Antipolis [UNS]
2 : ARIANA (INRIA Sophia Antipolis / Laboratoire I3S)
INRIA – Université Nice Sophia Antipolis [UNS] – CNRS : UMR7271
3 : Istituto per le Applicazioni del Calcolo "Mauro Picone" (IAC)
Consiglio Nazionale delle Ricerche

inria-00417759, version 1
http://hal.inria.fr/inria-00417759
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Contributeur : Laure Blanc-Feraud <>
Soumis le : Mercredi 16 Septembre 2009, 17:37:23
Dernière modification le : Mardi 10 Novembre 2009, 09:46:38

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