Monotonicity and separation for the Mumford-Shah problem

被引：9

作者：

David, G ^{[1
]}

Léger, JC ^{[1
]}

机构：

[1] Univ Paris 11, F-91405 Orsay, France

来源：

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE | 2002年 / 19卷 / 05期

关键词：

D O I：

10.1016/S0294-1449(02)00097-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove some monotonicity properties of the global Mumford-Shah minimizers as defined by Bonnet in [4]. The main consequence is that the only solutions for which the complement in the plane of the singular set is not connected correspond to lines and propellers. We also get a boundary version of the Mumford-Shah conjecture. (C) 2002 Editions scientifiques et medicales Elsevier SAS.

引用

页码：631 / 682

页数：52

共 20 条

[1] EXISTENCE THEORY FOR A NEW CLASS OF VARIATIONAL-PROBLEMS [J].