Rd. Throne et al., Improved parameter choice methods and temporal filtering for the generalized eigensystem method applied to the inverse problem of electrocardiography, INVERSE P E, 9(4), 2001, pp. 339-365
We have previously proposed the generalized eigensystem, (GES) method as a
modal expansion method for estimating electrical potentials on the heart ou
ter surface from measurements of electrical potentials on the body surface.
In this paper, we present an alternative formulation of GES more like that
of classical Tikhonov regularization where a single continuous parameter n
eeds to be chosen. We then compare this formulation of GES with zero order
Tikhonov regularization on data collected from a swine experiment with the
swine heart paced from six different sites. Of the two algorithms used to e
stimate the regularization parameters, the composite residual and smoothing
operator (CRESO) generally outperforms the generalized cross validation (G
CV) for both GES and Tikhonov. Although the inverse problems are solved at
each time instant independently, we also incorporate temporal information b
y moving average filtering the estimates, and this is more effective for th
e GES methods than for Tikhonov. In general, the epicardial estimates using
the GES method are more accurate than the estimates generated using zero o
rder Tikhonov regularization.