New approach for solving electrocardiography imaging inverse problem with missing data on the body surface - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Conference Papers Year :

New approach for solving electrocardiography imaging inverse problem with missing data on the body surface

Abstract

In this work, we provide a new mathematical formulation for the inverse problem in electrocardiography imaging. The novelty of this approach is that we take into account the missing measurements on the body surface. The electrocardiography imaging is formulated as a data completion problem for the Laplace equation. The Neumann boundary condition is given at the whole body surface. The difficulty comes from the fact that the Dirichlet boundary condition is only given on a part of the body surface. In order to construct the electrical potential on the heart surface, we use an optimal control approach where the unknown potential at the external boundary is also part of the control variables. We use the method of factorization of elliptic boundary value problems combined with the finite difference method. We illustrate the theoretical results by some numerical simulations in a cylindrical domain. We numerically study the effect of the size of the missing data zone on the accuracy of the inverse solution.
Fichier principal
Vignette du fichier
tamtam2017.pdf (727.26 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-01567821 , version 1 (24-07-2017)

Identifiers

  • HAL Id : hal-01567821 , version 1

Cite

Mohammed Addouche, Nadra Bouarroudj, Jacques Henry, Fadhel Jday, Nejib Zemzemi. New approach for solving electrocardiography imaging inverse problem with missing data on the body surface. Tendances des Applications Mathématiques en Tunisie, Algérie, Maroc 10-13 mai 2017, May 2017, Hammamet, Tunisia. ⟨hal-01567821⟩
218 View
104 Download

Share

Gmail Facebook Twitter LinkedIn More