Finite element-based space-time total variation-type regularization of the inverse problem in electrocardiographic imaging
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- August 2024
- DOI:
- 10.48550/arXiv.2408.11573
- arXiv:
- arXiv:2408.11573
- Bibcode:
- 2024arXiv240811573H
- Keywords:
-
- Mathematics - Numerical Analysis;
- Computer Science - Computer Vision and Pattern Recognition