Non-local approximation of the Mumford-Shah functional

被引:65
作者
Braides, A [1 ]
Maso, GD [1 ]
机构
[1] SISSA,I-34013 TRIESTE,ITALY
关键词
D O I
10.1007/s005260050068
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The Mumford-Shah functional, introduced to study image segmentation problems, is approximated in the sense of Gamma-convergence by a sequence of non-local integral functionals.
引用
收藏
页码:293 / 322
页数:30
相关论文
共 19 条
[1]   APPROXIMATION OF FUNCTIONALS DEPENDING ON JUMPS BY ELLIPTIC FUNCTIONALS VIA GAMMA-CONVERGENCE [J].
AMBROSIO, L ;
TORTORELLI, VM .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1990, 43 (08) :999-1036
[2]  
AMBROSIO L, 1989, B UNIONE MAT ITAL, V3B, P857
[3]   VARIATIONAL-PROBLEMS IN SBV AND IMAGE SEGMENTATION [J].
AMBROSIO, L .
ACTA APPLICANDAE MATHEMATICAE, 1989, 17 (01) :1-40
[4]  
AMBROSIO L, 1992, B UNIONE MAT ITAL, V6B, P105
[5]   EXISTENCE THEORY FOR A NEW CLASS OF VARIATIONAL-PROBLEMS [J].
AMBROSIO, L .
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1990, 111 (04) :291-322
[6]  
[Anonymous], WEAKLY DIFFERENTIABL
[7]  
[Anonymous], P IEEE C COMP VIS PA
[8]  
Attouch H., 1984, VARIATIONAL CONVERGE
[9]  
BOUCHITTE G, 1995, J REINE ANGEW MATH, V458, P1
[10]   IMAGE SEGMENTATION BY VARIATIONAL-METHODS - MUMFORD AND SHAH FUNCTIONAL AND THE DISCRETE APPROXIMATIONS [J].
CHAMBOLLE, A .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1995, 55 (03) :827-863