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

被引:6
作者
Bourdin, B
Chambolle, A [1 ]
机构
[1] Univ Paris 09, CEREMADE, CNRS UMR 7534, F-75775 Paris 16, France
[2] Univ Paris 13, LPMTM, CNRS UPR 9001, Inst Galilee, F-93430 Villetaneuse, France
关键词
D O I
10.1007/PL00005394
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
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. Mathematics Subject Classification (1991): 65N30, 26B30, 65K10, 68U10.
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页码:609 / 646
页数:38
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