An approximation of the Mumford-Shah energy by a family of discrete edge-preserving functionals - Inria - Institut national de recherche en sciences et technologies du numérique Accéder directement au contenu
Article Dans Une Revue Nonlinear Analysis: Theory, Methods and Applications Année : 2006

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

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.
Fichier non déposé

Dates et versions

inria-00417759 , version 1 (16-09-2009)

Identifiants

  • HAL Id : inria-00417759 , version 1

Citer

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, 2006, 64 (9), pp.1908-1930. ⟨inria-00417759⟩
145 Consultations
0 Téléchargements

Partager

Gmail Facebook X LinkedIn More