A topological asymptotic analysis for the regularized grey-level image classification problem
Institut de Mathématiques de Toulouse, UMR 5219, Université Paul Sabatier Toulouse 3,
31062 Toulouse cedex 9, France
2 ENIT-LAMSIN, BP37, 1002 Tunis Belvédère, Tunisia
Revised: 15 January 2007
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.
Mathematics Subject Classification: 35Q80 / 49J20 / 49K20 / 65-04 / 68-04 / 68U10
Key words: Image classification / topological asymptotic expansion / image restoration.
© EDP Sciences, SMAI, 2007