Higher order generalized eigensystem and Tikhonov regularization techniques for inverse electrocardiography

Abstract

The authors have previously presented the generalized eigensystem (GES) approach as an alternative to truncated singular value decomposition and zero order Tikhonov regularization methods for the ill-conditioned inverse problem of electrocardiography. Here, they extend their comparison of GES with Tikhonov regularization utilizing higher order regularizers applied to a realistic heart/torso geometry with measured epicardial and body surface potentials. Utilizing higher order regularizers the results from Tikhonov regularization more closely match those of the GES techniques.