Implementation of a finite-element approximation of the Mumford-Shah functional

Blaise Bourdin, Antonin Chambolle

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    We present and detail a method for the numerical solving of the Mumford-Shah problem, based on a finite element method and on adaptive meshes. We start with a formulation introduced by A. Chambolle and G. Dal Maso, detail its numerical implementation and then propose a variant which is proved to converge to the Mumford-Shah problem. A few experiments are illustrated.
    Original languageEnglish
    JournalNumerische Mathematik
    Publication statusPublished - 1999

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