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Issue Math. Model. Nat. Phenom.
Volume 4, Number 1, 2009
Modelling and numerical methods in contact mechanics
Page(s) 183 - 194
DOI 10.1051/mmnp/20094109
Published online 27 January 2009

Math. Model. Nat. Phenom. Vol. 4, No. 1, 2009, pp. 183-194
DOI: 10.1051/mmnp/20094109

Singular Perturbations For Heart Image Segmentation Tracking

J. Pousin

Université de Lyon, Université Lyon 1 ; INSA de Lyon, F-69100 ; École Centrale de Lyon ; CNRS, UMR5208, Institut Camille Jordan, 20 Av. E. Einstein F-69100 Villeurbanne Cedex, France

jerome.pousin@insa-lyon1.fr

Published online: 27 January 2009

Abstract
In this note we give a result of convergence when time goes to infinity for a quasi static linear elastic model, the elastic tensor of which vanishes at infinity. This method is applied to segmentation of medical images, and improves the 'elastic deformable template' model introduced previously.


Mathematics Subject Classification. 74B05, 35B75, 76M45, 74505

Key words: images segmentation -- linear elasticity -- singular perturbations techniques


© EDP Sciences 2009


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