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Master thesis

Méthodes numériques pour la résolution du problème inverse en électrocardiographie

Amel Karoui 1, 2, 3
3 CARMEN - Modélisation et calculs pour l'électrophysiologie cardiaque
IMB - Institut de Mathématiques de Bordeaux, Inria Bordeaux - Sud-Ouest, IHU-LIRYC
Abstract : The purpose of this report is to describe the work I did during my internship. It’s a question of solving the inverse problem in electrocardiography which consists in the determination of the electrical potential on the surface of the heart from measurements made on the surface of the torso. To do this, we used the Fundamental Solutions Method based on an integral representation by introducing two different regularization techniques, the regularization of Tikhonov and the Fading regularization which serve to eliminate theill-posed nature of the inverse problem. The results confirm a good performance in terms of the accuracy of calculation for the two methods. The study of robustness still requiresmore efforts.
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https://hal.inria.fr/hal-03086981
Contributor : Amel Karoui <>
Submitted on : Wednesday, December 23, 2020 - 10:21:07 AM
Last modification on : Thursday, December 24, 2020 - 3:30:41 AM

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Amel Karoui. Méthodes numériques pour la résolution du problème inverse en électrocardiographie. Optimisation et contrôle [math.OC]. 2017. ⟨hal-03086981⟩

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