Title :
Electrode Position Scaling in Realistic Laplacian Computation
Author :
Bortel, Radoslav ; Sovka, Pavel
Author_Institution :
Fac. of Electr. Eng., Czech Tech. Univ., Prague
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;
Journal_Title :
Biomedical Engineering, IEEE Transactions on
DOI :
10.1109/TBME.2008.921168
