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A topological asymptotic analysis for the regularized grey-level image classification problem
Journal article   Open access  Peer reviewed

A topological asymptotic analysis for the regularized grey-level image classification problem

Didier Auroux, Lamia Jaafar Belaid and Mohamed Masmoudi
ESAIM: Mathematical Modelling and Numerical Analysis, Vol.41(3), pp.607-625
01/05/2007
DOI: https://doi.org/10.1051/m2an:2007027

Abstract

35Q80 49J20 49K20 65-04 68-04 68U10 Image classification image restoration topological asymptotic expansion
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.
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https://doi.org/10.1051/m2an:2007027View
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