Evaluation of fifteen algorithms for the resolution of the electrocardiography imaging inverse problem using ex-vivo and in-silico data
MIGERDITICHAN, Pauline
Université de Bordeaux [UB]
Modélisation et calculs pour l'électrophysiologie cardiaque [CARMEN]
IHU-LIRYC
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Université de Bordeaux [UB]
Modélisation et calculs pour l'électrophysiologie cardiaque [CARMEN]
IHU-LIRYC
MIGERDITICHAN, Pauline
Université de Bordeaux [UB]
Modélisation et calculs pour l'électrophysiologie cardiaque [CARMEN]
IHU-LIRYC
< Reduce
Université de Bordeaux [UB]
Modélisation et calculs pour l'électrophysiologie cardiaque [CARMEN]
IHU-LIRYC
Language
en
Article de revue
This item was published in
Frontiers in Physiology. 2018-11-28, vol. 9, p. 1708
Frontiers
English Abstract
The electrocardiographic imaging inverse problem is ill-posed. Regularization has to be applied to stabilize the problem and solve for a realistic solution. Here, we assess different regularization methods for solving ...Read more >
The electrocardiographic imaging inverse problem is ill-posed. Regularization has to be applied to stabilize the problem and solve for a realistic solution. Here, we assess different regularization methods for solving the inverse problem. In this study, we assess i) zero order Tikhonov regularization (ZOT) in conjunction with the Method of Fundamental Solutions (MFS), ii) ZOT regularization using the Finite Element Method (FEM) and iii) the L1-Norm regularization of the current density on the heart surface combined with FEM. Moreover, we apply different approaches for computing the optimal regularization parameter, all based on the Generalized Singular Value Decomposition (GSVD). These methods include Generalized Cross Validation (GCV), Robust Generalized Cross Validation (RGCV), ADPC, U-Curve and Composite REsidual and Smoothing Operator (CRESO) methods. Both simulated and experimental data are used for this evaluation. Results show that the RGCV approach provides the best results to determine the optimal regularization parameter using both the FEM-ZOT and the FEM-L1-Norm. However for the MFS-ZOT, the GCV outperformed all the other regularization parameter choice methods in terms of relative error and correlation coefficient. Regarding the epicardial potential reconstruction, FEM-L1-Norm clearly outperforms the other methods using the simulated data but, using the experimental data, FEM based methods perform as well as MFS. Finally, the use of FEM-L1-Norm combined with RGCV provides robust results in the pacing site localization.Read less <
English Keywords
Regularization Parameter Choice
Fundamental 20 Solutions Method
Pacing 21 Site Localization
Electrocardiography
Finite Elemet Method
Generalized Singular Value Decomposition
Tikhonov Regularization
L1-Norm Regularization
Inverse Problem
Robust Generalized Cross Validation
Origin
Hal imported