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

Didier Auroux; Lamia Jaafar Belaid; Mohamed Masmoudi

ESAIM: Mathematical Modelling and Numerical Analysis (2007)

- Volume: 41, Issue: 3, page 607-625
- ISSN: 0764-583X

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topAuroux, Didier, Belaid, Lamia Jaafar, and Masmoudi, Mohamed. "A topological asymptotic analysis for the regularized grey-level image classification problem." ESAIM: Mathematical Modelling and Numerical Analysis 41.3 (2007): 607-625. <http://eudml.org/doc/250065>.

@article{Auroux2007,

abstract = {
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.
},

author = {Auroux, Didier, Belaid, Lamia Jaafar, Masmoudi, Mohamed},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis},

keywords = {Image classification; topological asymptotic expansion; image restoration.},

language = {eng},

month = {8},

number = {3},

pages = {607-625},

publisher = {EDP Sciences},

title = {A topological asymptotic analysis for the regularized grey-level image classification problem},

url = {http://eudml.org/doc/250065},

volume = {41},

year = {2007},

}

TY - JOUR

AU - Auroux, Didier

AU - Belaid, Lamia Jaafar

AU - Masmoudi, Mohamed

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

JO - ESAIM: Mathematical Modelling and Numerical Analysis

DA - 2007/8//

PB - EDP Sciences

VL - 41

IS - 3

SP - 607

EP - 625

AB -
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.

LA - eng

KW - Image classification; topological asymptotic expansion; image restoration.

UR - http://eudml.org/doc/250065

ER -

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