Singular perturbations for a problem of cardiac images tracking

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 me...

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Bibliographic Details
Published inAsymptotic analysis Vol. 92; no. 1-2; pp. 161 - 185
Main Authors Benmansour, Khadidja, Pousin, Jérôme
Format Journal Article
LanguageEnglish
Published 2015
Subjects
Asymptotic properties
Elastic deformation
Image segmentation
Medical
Tensors
Tracking
Tracking problem
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Summary: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.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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ISSN:0921-7134
DOI:10.3233/ASY-141267