Finite element-based space-time total variation-type regularization of the inverse problem in electrocardiographic imaging

• URL: http://arxiv.org/abs/2408.11573v1
• Date: Wed, 21 Aug 2024 12:28:56 GMT
• Title: Finite element-based space-time total variation-type regularization of the inverse problem in electrocardiographic imaging
• Authors: Manuel Haas, Thomas Grandits, Thomas Pinetz, Thomas Beiert, Simone Pezzuto, Alexander Effland,
• Abstract summary: Reconstructing cardiac electrical activity from body surface electric potential measurements results in the severely ill-posed inverse problem in electrocardiography. This work presents a novel approach for reconstructing the epicardial potential from body surface potential maps based on a space-time total variation-type regularization.
• Score: 36.374785477116326
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Reconstructing cardiac electrical activity from body surface electric potential measurements results in the severely ill-posed inverse problem in electrocardiography. Many different regularization approaches have been proposed to improve numerical results and provide unique results. This work presents a novel approach for reconstructing the epicardial potential from body surface potential maps based on a space-time total variation-type regularization using finite elements, where a first-order primal-dual algorithm solves the underlying convex optimization problem. In several numerical experiments, the superior performance of this method and the benefit of space-time regularization for the reconstruction of epicardial potential on two-dimensional torso data and a three-dimensional rabbit heart compared to state-of-the-art methods are demonstrated.

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