CONVERGENCE RESULTS FOR CRITICAL POINTS OF THE ONE-DIMENSIONAL AMBROSIO-TORTORELLI FUNCTIONAL WITH FIDELITY TERM

被引：0
作者：
Le, Nam Q. [1 ]
机构：
[1] Columbia Univ, Dept Math, New York, NY 10027 USA
来源：
ADVANCES IN DIFFERENTIAL EQUATIONS | 2010年 / 15卷 / 3-4期
关键词：
MUMFORD-SHAH; IMAGE SEGMENTATION; VARIATIONAL METHOD; APPROXIMATION; EQUILIBRIA; EXISTENCE;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we show that critical points of the one-dimensional Ambrosio-Tortorelli functional with fidelity term converge to those of the corresponding Mumford-Shah functional, a famous model for image segmentation. Equi-partition and convergence of the energy-density are also derived.
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页码：255 / 282
页数：28
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