Modeling the volume conductor-double Fourier series approximation versus spherical harmonic expansion

Author

Lafer, Gerhard ; Wach, Paul ; Tilg, Bernhard

Author_Institution

Dept. of Biophys., Graz Univ. of Technol., Austria

fYear

1998

fDate

15-18 Feb 1998

Firstpage

5

Lastpage

6

Abstract

A method for parametric description of boundary surfaces based on combined second order surface and double Fourier series approximation is presented. Gauss transformation is used to determine the best fitting parameters. The method is applied to approximate the conductivity interfaces of volume conductor models needed for solving the bioelectromagnetic forward and inverse problem. The attained quality of fit was compared to that obtained applying the surface harmonic expansion for modeling the volume conductor shape. In that case, the coefficients of expansion are found by nonlinear least-squares fit

Keywords

Fourier series; bioelectric phenomena; inverse problems; physiological models; Gauss transformation; best fitting parameters; bioelectromagnetic forward problem; bioelectromagnetic inverse problem; boundary surfaces; conductivity interfaces; double Fourier series approximation; nonlinear least-squares fit; parametric description; spherical harmonic expansion; volume conductor modeling; Conductivity; Conductors; Ellipsoids; Fourier series; Gaussian processes; Inverse problems; Shape; Surface fitting; Surface morphology; Surface reconstruction;

fLanguage

English

Publisher

ieee

Conference_Titel

Bioelectromagnetism, 1998. Proceedings of the 2nd International Conference on

Conference_Location

Melbourne, Vic.

Print_ISBN

0-7803-3867-7

Type

conf

DOI

10.1109/ICBEM.1998.666367

Filename

666367