A class of quasi-linear elliptic systems arising in image segmentation

被引：2
作者：
Birindelli, Isabeau [1 ,2 ]
Finzi Vita, Stefano [1 ]
机构：
[1] Univ Roma La Sapienza, I-00185 Rome, Italy
[2] Univ Cergy Pontoise, F-95302 Cergy Pontoise, France
来源：
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 1998年 / 5卷 / 04期
关键词：
Numerical Experiment; Large Class; Image Segmentation; Efficient Algorithm; Elliptic System;
D O I：
10.1007/s000300050056
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study a quasi-linear system arising in image segmentation in order to determine the minimum of the Mumford-Shah functional. We prove the existence of a solution for a larger class of systems including the previous one. The recursive method used in the proof produces as well an efficient algorithm that can be easily implemented in connection for example with finite element techniques. Results of some numerical experiments are also discussed.
引用
收藏
页码：445 / 459
页数：15
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