Issue |
ESAIM: M2AN
Volume 41, Number 3, May-June 2007
|
|
---|---|---|
Page(s) | 607 - 625 | |
DOI | https://doi.org/10.1051/m2an:2007027 | |
Published online | 02 August 2007 |
A topological asymptotic analysis for the regularized grey-level image classification problem
1
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
Received:
28
October
2005
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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.