An approximation of the Mumford-Shah energy by a family of discrete edge-preserving functionals

被引：4
作者：
Aubert, G
Blanc-Féraud, L
March, R
机构：
[1] UNSA, Projet Ariana, Lab 13S, CNRS, F-06902 Sophia Antipolos, France
[2] INRIA, F-06902 Sophia Antipolos, France
[3] Univ Nice Sophia Antipolis, Lab JA Dieudonne, UMR 6621, CNRS, F-06108 Nice 02, France
[4] CNR, Ist Applicaz Calcolo, I-00161 Rome, Italy
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2006年 / 64卷 / 09期
关键词：
Gamma-convergence; finite elements; image segmentation;
D O I：
10.1016/j.na.2005.07.028
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show the Gamma-convergence of a family of discrete functionals to the Mumford and Shah image segmentation functional. The functionals of the family are constructed by modifying the elliptic approximating functionals proposed by Ambrosio and Tortorelli. The quadratic term of the energy related to the edges of the segmentation is replaced by a nonconvex functional. (c) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1908 / 1930
页数：23
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