A topological asymptotic analysis for the regularized grey-level image classification problem
ESAIM: Modélisation mathématique et analyse numérique, Tome 41 (2007) no. 3, pp. 607-625.

The aim of this article is to propose a new method for the grey-level image classification problem. We first present the classical variational approach without and with a regularization term in order to smooth the contours of the classified image. Then we present the general topological asymptotic analysis, and we finally introduce its application to the grey-level image classification problem.

DOI : 10.1051/m2an:2007027
Classification : 35Q80, 49J20, 49K20, 65-04, 68-04, 68U10
Mots clés : image classification, topological asymptotic expansion, image restoration
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     title = {A topological asymptotic analysis for the regularized grey-level image classification problem},
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Auroux, Didier; Belaid, Lamia Jaafar; Masmoudi, Mohamed. A topological asymptotic analysis for the regularized grey-level image classification problem. ESAIM: Modélisation mathématique et analyse numérique, Tome 41 (2007) no. 3, pp. 607-625. doi : 10.1051/m2an:2007027. http://archive.numdam.org/articles/10.1051/m2an:2007027/

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