Topological gradient for fourth-order PDE and application to the detection of fine structures in 2D images

被引：5

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：

COMPTES RENDUS MATHEMATIQUE | 2014年 / 352卷 / 7-8期

关键词：

D O I：

10.1016/j.crma.2014.06.005

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we describe a new approach for the detection of fine structures in an image. This approach is based on the computation of the topological gradient associated with a cost function defined from a regularization of the data (possibly noisy). We get this approximation by solving a fourth-order PDE. The study of the topological sensitivity is made in the cases of both a circular inclusion and a crack. We illustrate our approach by giving two experimental results. (C) 2014 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

引用

页码：609 / 613

页数：5

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