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

Blaise Bourdin; Antonin Chambolle

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

Blaise Bourdin, Antonin Chambolle

Université Paris Dauphine

Research output: Contribution to journal › Journal article › Research › peer-review

Abstract

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 language	English
Journal	Numerische Mathematik
ISSN	0029-599X
Publication status	Published - 1999

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abstract = "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.",

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AU - Chambolle, Antonin

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AB - 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.

M3 - Journal article

SN - 0029-599X

JO - Numerische Mathematik

JF - Numerische Mathematik

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