TOPOLOGICAL GRADIENT FOR A FOURTH ORDER OPERATOR USED IN IMAGE ANALYSIS

被引：8

作者：

Aubert, Gilles ^{[1
]}

Drogoul, Audric ^{[1
]}

机构：

[1] Univ Nice Sophia Antipolis, CNRS, LJAD, UMR 7351, F-06100 Nice, France

来源：

ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS | 2015年 / 21卷 / 04期

关键词：

Topological gradient; fourth order PDE; fine structures; 2D imaging; FINE-STRUCTURES; RESTORATION;

D O I：

10.1051/cocv/2014061

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper is concerned with the computation of the topological gradient associated to a fourth order Kirchhoff type partial differential equation and to a second order cost function. This computation is motivated by fine structure detection in image analysis. The study of the topological sensitivity is performed both in the cases of a circular inclusion and a crack.

引用

页码：1120 / 1149

页数：30

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