Finite element-based space-time total variation-type regularization of the inverse problem in electrocardiographic imaging
<|reference_start|>Finite element-based space-time total variation-type regularization of the inverse problem in electrocardiographic imaging: 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.<|reference_end|>
@article{haas2024finite,
    title={Finite element-based space-time total variation-type regularization of
  the inverse problem in electrocardiographic imaging},
    author={Manuel Haas, Thomas Grandits, Thomas Pinetz, Thomas Beiert, Simone
  Pezzuto, and Alexander Effland},
    journal={arXiv preprint arXiv:2408.11573},
    year={2024},
    archivePrefix={arXiv},
    eprint={2408.11573},
    primaryClass={math.NA cs.CV cs.NA}
}