Regularization in cardiac source imaging

Authors:
Tuomas Lunttila;Jukka Nenonen;Erkki Somersalo
Affiliations:
Helsinki University of Technology, Laboratory of Biomedical Engineering, Espoo, Finland;Helsinki University of Technology, Laboratory of Biomedical Engineering, Espoo, Finland and Helsinki University Central Hospital, BioMag Laboratory, Helsinki, Finland;Helsinki University of Technology, Institute of Mathematics, Espoo, Finland
Venue:
FIMH'03 Proceedings of the 2nd international conference on Functional imaging and modeling of the heart
Year:
2003

Citing 2
Cited 0

Analysis of discrete ill-posed problems by means of the L-curve

SIAM Review
Matrix computations (3rd ed.)

Matrix computations (3rd ed.)

Quantified Score

Hi-index	0.00

Visualization

Abstract

Estimation of bioelectric currents in the heart involves the solution of an ill-posed inverse problem in electro- and magnetocardiography. The problem becomes linear in respect to current magnitudes when the equivalent sources are constrained into a pre-determined grid of reconstruction points. Still, a proper regularization is required to obtain physiologically meaningful results. This paper discusses the application of deterministic methods (such as Tikhonov or Wiener regularization) and statistical inversion. The deterministic methods require determination of an optimal regularization parameter, while the statistical inversion relies on application of a prior for the source distribution. Comparison of selected regularization methods is performed with simulated magnetocardiographic data.