Implementation of an adaptive finite-element approximation of the Mumford-Shah functional

Authors

Blaise Bourdin, Laboratoire des Sciences des Procédés et des Matériaux
Antonin Chambolle, Université Paris-Dauphine

Document Type

Article

Publication Date

1-1-2000

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 the formulation introduced in [13], detail its numerical implementation and then propose a variant which is proved to converge to the Mumford-Shah problem. A few experiments are illustrated.

Publication Source (Journal or Book title)

Numerische Mathematik

First Page

609

Last Page

646

Recommended Citation

Bourdin, B., & Chambolle, A. (2000). Implementation of an adaptive finite-element approximation of the Mumford-Shah functional. Numerische Mathematik, 85 (4), 609-646. https://doi.org/10.1007/PL00005394