Singular perturbations for a problem of cardiac images tracking

Article type: Research Article

Authors: Benmansour, Khadidja | Pousin, Jérôme^;

Affiliations: Université de Lyon, ICJ-INSA de Lyon, UMR CNRS 5202, Institut Camille Jordan, 20 av. A. Einstein, Villeurbanne F-69100, France

Note: [] Corresponding author. E-mail: jerome.pousin@insa-lyon.fr

Abstract: The result presented in this article is an adaptation of the gradient flow technique applied to a periodic problem combined with a singular perturbation method. The motivation for considering such a question originates from problems of cardiac images segmentation and of tracking cardiac images in medical image analysis. The ‘elastic deformable template’ model introduced previously for image segmentation is improved and adapted to the image tracking problem. A result of convergence is proved, for a periodic linear elastic model, the elastic tensor of which vanishes, when the parameter associated to the quasi-static technique goes to infinity.

Keywords: images tracking, linear elasticity, singular perturbations techniques

DOI: 10.3233/ASY-141267

Journal: Asymptotic Analysis, vol. 92, no. 1-2, pp. 161-185, 2015