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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2411.19520 |
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| _version_ | 1866929608834678784 |
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| author | Lagracie, Emma Weynans, Lisl Coudière, Yves |
| author_facet | Lagracie, Emma Weynans, Lisl Coudière, Yves |
| contents | Electrocardiographic imaging non-invasively reconstructs activation maps of the heart from temporal body surface potential maps by post-processing solutions of an inverse problem. Typically, activation times are detected through the maximal deflection of the temporal or spatial derivative of recovered extracellular or transmembrane potentials. However, this method can introduce artificial lines of block in the map, falsely indicating a pathology. Consequently, several complex algorithms have been developed in an attempt to smooth activation maps while preserving true discontinuities. We propose a straightforward method for computing activation maps from recovered transmembrane voltages, wherein activation time is defined as the first time a predefined threshold is crossed. We evaluate this thresholdbased method against traditional deflection-based methods using simulated data, following the approach of Shuler et al. [1]. Our findings indicate that the threshold method, when combined with classical Tikhonov regularization, produces smooth activation maps even in the presence of true lines of block. Given the variability in performance of deflectionbased methods compared to those reported in [1], we emphasize the difficulty of establishing a universally effective post-processing method for computing activation maps. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_19520 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Assessment of a Threshold Method for Computing Activation Maps from Reconstructed Transmembrane Voltages Lagracie, Emma Weynans, Lisl Coudière, Yves Analysis of PDEs Electrocardiographic imaging non-invasively reconstructs activation maps of the heart from temporal body surface potential maps by post-processing solutions of an inverse problem. Typically, activation times are detected through the maximal deflection of the temporal or spatial derivative of recovered extracellular or transmembrane potentials. However, this method can introduce artificial lines of block in the map, falsely indicating a pathology. Consequently, several complex algorithms have been developed in an attempt to smooth activation maps while preserving true discontinuities. We propose a straightforward method for computing activation maps from recovered transmembrane voltages, wherein activation time is defined as the first time a predefined threshold is crossed. We evaluate this thresholdbased method against traditional deflection-based methods using simulated data, following the approach of Shuler et al. [1]. Our findings indicate that the threshold method, when combined with classical Tikhonov regularization, produces smooth activation maps even in the presence of true lines of block. Given the variability in performance of deflectionbased methods compared to those reported in [1], we emphasize the difficulty of establishing a universally effective post-processing method for computing activation maps. |
| title | Assessment of a Threshold Method for Computing Activation Maps from Reconstructed Transmembrane Voltages |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2411.19520 |