STABILITY AND RESOLUTION ANALYSIS FOR A TOPOLOGICAL DERIVATIVE BASED IMAGING FUNCTIONAL

被引：114

作者：

Ammari, Habib ^{[1
]}

Garnier, Josselin ^{[2
,3
]}

Jugnon, Vincent ^{[4
]}

Kang, Hyeonbae ^{[5
]}

机构：

[1] Ecole Normale Super, Dept Math & Applicat, F-75005 Paris, France

[2] Univ Paris 07, Lab Probabilites & Modeles Aleatoires, F-75251 Paris 5, France

[3] Univ Paris 07, Lab Jacques Louis Lions, F-75251 Paris 5, France

[4] Ecole Polytech, Ctr Math Appl, CNRS, UMR 7641, F-91128 Palaiseau, France

[5] Inha Univ, Dept Math, Inchon 402751, South Korea

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2012年 / 50卷 / 01期

关键词：

stability; resolution; imaging; Helmholtz equation; topological derivative; MUltiple SIgnal Classification; backpropagation; Kirchhoff migration; asymptotic expansion; IMPEDANCE TOMOGRAPHY; ALGORITHM;

D O I：

10.1137/100812501

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The aim of this paper is to study a topological derivative based anomaly detection algorithm. We compare its performance with other imaging approaches such as MUltiple SIgnal Classification, backpropagation, and Kirchhoff migration. We also investigate its stability with respect to medium and measurement noises as well as its resolution. A simple postprocessing of the data set is introduced and shown to be essential in order to obtain an efficient topological based imaging functional, both in terms of resolution and stability.

引用

页码：48 / 76

页数：29

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