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SIAM J. on Control and Optimization / Volume 50 / Issue 1

SIAM J. Control Optim. 50, pp. 48-76 (29 pages)

Stability and Resolution Analysis for a Topological Derivative Based Imaging Functional

Habib Ammari, Josselin Garnier, Vincent Jugnon, and Hyeonbae Kang

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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.

© 2012 Society for Industrial and Applied Mathematics

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KEYWORDS

AMS Subject Headings

35R30, 35B30

PUBLICATION DATA

ISSN

0363-0129 (print)  
1095-7138 (online)

Publisher

$abstract.society.value is a Member of CrossRef Society for Industrial and Applied Mathematics

ARTICLE DATA

History
Received October 21, 2010
Accepted September 30, 2011
Published online January 03, 2012
Digital Object Identifier
http://dx.doi.org/10.1137/100812501

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