Describing head shape with surface harmonic expansions

Author

Purcell, Christopher ; Mashiko, Takunori ; Odaka, Kazumi ; Ueno, Keiichi

Author_Institution

NTT Basic Res. Lab., Tokyo, Japan

Volume

38

Issue

3

fYear

1991

fDate

3/1/1991 12:00:00 AM

Firstpage

303

Lastpage

306

Abstract

A method is presented that uses a surface harmonic expansion to describe the shape of a head boundary. The coefficients of the expansion and the best fitting origin of the expansion are found by a nonlinear least-squares fit. This results in a compact representation of the shape of the head boundary. As with the 2-D and 3-D Fourier descriptions, once the coefficients are known, it is easy to construct triangular tessellations of any desired fineness. However, there is no requirement to sample the head in any particular sequence or at special angles. This facilitates calculation of the electric potential and magnetic field generated by neural current sources using discretized integral equations.

Keywords

physiological models; Fourier descriptions; discretized integral equations; expansion coefficients; head shape description; magnetic field; neural current sources; surface harmonic expansions; triangular tessellations; Biomedical measurements; Conductivity; Electric potential; Information science; Integral equations; Laboratories; Magnetic field measurement; Magnetic heads; Shape; Visual perception; Computer Simulation; Electric Conductivity; Electromagnetic Fields; Head; Models, Biological; Surface Properties;

fLanguage

English

Journal_Title

Biomedical Engineering, IEEE Transactions on

Publisher

ieee

ISSN

0018-9294

Type

jour

DOI

10.1109/10.133214

Filename

133214