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

Bourdin, Blaise; Chambolle, Antonin (2000), Implementation of an adaptive finite-element approximation of the Mumford-Shah functional, Numerische Mathematik, 85, 4, p. 609-646. http://dx.doi.org/10.1007/PL00005394

Type
Article accepté pour publication ou publié
Date
2000
Journal name
Numerische Mathematik
Volume
85
Number
4
Publisher
Springer
Pages
609-646
Publication identifier
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Author(s)
Bourdin, Blaise
Chambolle, Antonin cc
Abstract (EN)
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.
Subjects / Keywords
Mumford-Shah problem