Title :
Alternative generalized eigensystem vectors which minimize the epicardial surface Laplacian for a given area-weighted amplitude
Author :
Olson, LG ; Throne, RD
Author_Institution :
Dept. of Mech. Eng., Nebraska Univ., Lincoln, NE, USA
Abstract :
The authors have previously presented the generalized eigensystem (GES) approach as an alternative to zero, first, and second order Tikhonov regularization methods for the ill-conditioned inverse problem of electrocardiography. The results from the GES methods were generally superior to those of Tikhonov regularization although first- and second-order Tikhonov regularization, which penalize the epicardial surface gradient and surface Laplacian, performed well. In this study, the authors test GESL expansion vectors which minimize the epicardial surface gradient and surface Laplacian for a given area-weighted epicardial amplitude. Results from experimental data indicate that, although these new GESL vectors perform better than zero-order Tikhonov regularization, they do not perform as well as the original GES vectors
Keywords :
Laplace transforms; electrocardiography; inverse problems; medical signal processing; minimisation; physiological models; vectors; alternative generalized eigensystem vectors; area-weighted epicardial amplitude; electrodiagnostics; epicardial surface Laplacian minimization; epicardial surface gradient; ill-conditioned ECG inverse problem; second order Tikhonov regularization methods; surface Laplacian; Computer errors; Electric potential; Electrodes; Electrostatics; Finite element methods; Geometry; Heart; Inverse problems; Laplace equations; Testing;
Conference_Titel :
Computers in Cardiology 1998
Conference_Location :
Cleveland, OH
Print_ISBN :
0-7803-5200-9
DOI :
10.1109/CIC.1998.731966