Electrode Position Scaling in Realistic Laplacian Computation

Author

Bortel, Radoslav ; Sovka, Pavel

Author_Institution

Fac. of Electr. Eng., Czech Tech. Univ., Prague

Volume

55

Issue

9

fYear

2008

Firstpage

2314

Lastpage

2316

Abstract

This note discusses the effects of the electrode position scaling on the realistic Laplacian (RL) computation. It is shown that when the RL is estimated with the help of Tikhonov regularization and the generalized cross-validation (GCV) criterion, improper electrode position scaling may influence the GCV criterion, which results in the decrease of RL precision. We identify what the proper scaling should be, and we provide a closer examination of how the GCV criterion is affected by the electrode position scaling.

Keywords

Laplace equations; biomedical electrodes; biomedical measurement; electroencephalography; filtering theory; medical signal processing; spatial filters; splines (mathematics); 3-D spline coefficient equation matrix; EEG spatial filtration technique; Tikhonov regularization; electrode position scaling effects; generalized cross-validation criterion; head surface potential recording; realistic Laplacian computation; Biological system modeling; Biomedical electrodes; Boundary element methods; Brain modeling; Computational modeling; Electrodes; Electroencephalography; Filtration; Head; Laplace equations; Magnetic heads; Skin; Skull; Spatial resolution; Laplacian; regularization; surface; surface Laplacian; Algorithms; Brain Mapping; Computer Simulation; Diagnosis, Computer-Assisted; Electrodes; Electroencephalography; Humans; Models, Neurological;

fLanguage

English

Journal_Title

Biomedical Engineering, IEEE Transactions on

Publisher

ieee

ISSN

0018-9294

Type

jour

DOI

10.1109/TBME.2008.921168

Filename

4473362