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topological asymptotic expansion

ESAIM: Mathematical Modelling and Numerical Analysis (1)

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A topological asymptotic analysis for the regularized grey-level image classification problem
Didier Auroux, Lamia Jaafar Belaid, Mohamed Masmoudi
Journal:

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 41 / Issue 3 / May 2007

Published online by Cambridge University Press:

02 August 2007, pp. 607-625

Print publication:

May 2007
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The aim of this article is to propose a new method for the grey-level image classification problem. We first present the classicalvariational approach without and with a regularization term in order tosmooth the contours of the classified image. Then we present the generaltopological asymptotic analysis, and we finally introduce its application tothe grey-level image classification problem.