Title :
A complete linear discretization for calculating the magnetic field using the boundary element method
Author :
Ferguson, A. Stewart ; Zhang, Xu ; Stroink, Gerhard
Author_Institution :
Dept. of Phys., Dalhousie Univ., Halifax, NS, Canada
fDate :
5/1/1994 12:00:00 AM
Abstract :
An analytic solution is derived for the magnetic field generated by current sources located in a piecewise homogeneous volume conductor. A linear discretization approach is used, whereby the surface potential is assumed to be a piecewise linear function over each tessellated surface defining the regions of differing conductivity. The magnetic field is shown to be a linear combination of vector functions which are strictly dependent on the geometry of the problem, the surface tesselation, and the observation point.
Keywords :
biomagnetism; boundary-elements methods; physiological models; biomagnetic imaging; boundary element method; complete linear discretization; differing conductivity regions definition; magnetic field calculation; observation point; piecewise homogeneous volume conductor; piecewise linear function; problem geometry; surface potential; tessellated surface; vector functions combination; Biomagnetics; Boundary element methods; Conductivity; Conductors; Humans; Integral equations; Magnetic analysis; Magnetic field measurement; Magnetic fields; Solids; Diagnostic Imaging; Electric Conductivity; Electromagnetic Fields; Linear Models; Models, Theoretical; Surface Properties;
Journal_Title :
Biomedical Engineering, IEEE Transactions on
