2003
DOI: 10.1114/1.1588655
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Noninvasive Electrocardiographic Imaging (ECGI): Application of the Generalized Minimal Residual (GMRes) Method

Abstract: Electrocardiographic imaging (ECGI) is a developing imaging modality for cardiac electrophysiology and arrhythmias. It reconstructs epicardial potentials, electrograms, and isochrones from electrocardiographic body-surface potentials noninvasively. Current ECGI methodology employs Tikhonov regularization, which imposes constraints on the reconstructed potentials or their derivatives. This approach can sometimes reduce spatial resolution by smoothing the solution. Accuracy depends on a priori knowledge of solut… Show more

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Cited by 84 publications
(60 citation statements)
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“…Epicardial potentials are then computed from the body-surface potentials applying a constraint-based Tikhonov regularization (25) and͞or an iterative GMRes method (26). Details of the mathematical methods have been provided in previous publications (25,(27)(28)(29).…”
Section: Methodsmentioning
confidence: 99%
“…Epicardial potentials are then computed from the body-surface potentials applying a constraint-based Tikhonov regularization (25) and͞or an iterative GMRes method (26). Details of the mathematical methods have been provided in previous publications (25,(27)(28)(29).…”
Section: Methodsmentioning
confidence: 99%
“…The Tikhonov regularization method 76 with CRESO-determined regularization parameter 24 is used to stabilize the inverse procedure and obtain , similar to our previous ECGI inverse computations using mesh-based BEM. 15,16,32,33,47,56,61,62,[65][66][67][68][69][70][71] Once the coefficient vector is obtained, u(x) can be computed at any location in the domain using: (5) The epicardial potential can then be calculated using: (6) Epicardial potentials are calculated using (6) on many epicardial nodes; numbers are provided for each dataset in the Results section. An epicardial potential map, reflecting the spatial distribution of potentials on the epicardial surface, is computed every millisecond during the cardiac cycle.…”
Section: Formulating the Methods Of Fundamental Solutions For Ecgimentioning
confidence: 99%
“…In Figure 9 is represented the mean solution as a transmural activation map (9a) that was compared with the CardioInsight epicardial inverse solution [31] (9b). The CardioInsight solution is interesting for comparison even if it is only an epicardial surface reconstruction.…”
Section: B Estimated Sinus Rhythm Activation Mapsmentioning
confidence: 99%