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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
IHU-LIRYC, IMB - Institut de Mathématiques de Bordeaux, Inria Bordeaux - Sud-Ouest
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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Submitted on : Wednesday, December 23, 2020 - 10:21:07 AM
Last modification on : Saturday, December 4, 2021 - 3:44:00 AM


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  • HAL Id : hal-03086981, version 1



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



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