A Complete Linear Discretization for Calculating the Magnetic Field Using the Boundary Element Method

IEEE Transactions on Biomedical Engineering

Volumn 41, Issue 5, 1994, Pages 455-460

  Ferguson, A Stewart ^a   Zhang, Xu ^a   Stroink, Gerhard ^a  

^a DALHOUSIE UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY ELEMENT METHOD; ELECTRIC CONDUCTIVITY; ELECTRIC CONDUCTORS;

LINEAR DISCRETIZATION; PIECEWISE LINEAR FUNCTIONS;

MAGNETIC FIELDS;

ANALYTIC METHOD; ARTICLE; GEOMETRY; LINEAR SYSTEM; MAGNETIC FIELD;

DIAGNOSTIC IMAGING; ELECTRIC CONDUCTIVITY; ELECTROMAGNETIC FIELDS; LINEAR MODELS; MODELS, THEORETICAL; SUPPORT, NON-U.S. GOV'T; SURFACE PROPERTIES;

EID: 0028436743     PISSN: 00189294     EISSN: 15582531     Source Type: Journal    
DOI: 10.1109/10.293220     Document Type: Article

References (15)

1. G. Stroink, “Cardiomagnetic imaging,” in Frontiers in Cardiovascular Imaging, Ch. 11, B. L. Zaret, L. Kaufman, A. S. Berson and R. A. Dunn (eds.), Raven Press: New York, pp. 161–177, 1993.
2. M. Hämäläinen, R. Hari, R. J. Ilmoniemi, J. Knuutila and O. V. Lounasmaa, “Magnetoencephalography—theory, instrumentation, and applications to noninvasive studies of the working human brain,” Rev. Modern Phys., vol. 65, no. 2, pp. 413–97, 1993.
3. F. Grynszpan and D. B. Geselowitz, “Model studies of the magnetocardiogram,” Biophys. J., vol. 13, pp. 911–925, 1973.
4. E. Nyssen, “Potentiaalkaarten in de elektrokardiologie: Een zoektocht naar technieken voor de verbetering van hun klinische toepassing,” Ph.D. Thesis, Vrije Univ. Brussel, Brussels, Belgium, 1986, pp. 94–109.
5. D. B. Geselowitz, “On the magnetic field generated outside an inhomogeneous volume conductor by internal volume currents,” IEEE Trans. Magn., vol. 6, pp. 346–347, 1970.
6. B. N. Cuffin and D. Cohen, “Magnetic fields of a dipole in special volume conductor shapes,” IEEE Trans. Biomed. Eng., vol. BME-24, pp. 372–381, 1977.
7. A. C. Barnard, I. M. Duck, M. S. Lynn and W. P. Timlake, “The application of electromagnetic theory to electrocardiography II: The numerical solution to the integral equations,” Biophys. J., vol. 7, pp. 463–491, 1967.
8. J. Nenonen, C. J. Purcell, M. B. Horacek, G. Stroink and T. Katila, “Magnetocardiographic functional localization using a current dipole in a realistic torso,” IEEE Trans. Biomed. Eng., vol. 38, pp. 658-664, 1991.
9. P. P. Silvester and R. L. Ferrari, Finite Elements for Electrical Engineers. Cambridge, UK: Cambridge University Press, 1983, Ch. 3.
10. J. C. de Munck, “A linear discretization of the volume conductor boundary integral equation using analytically integrated elements,” IEEE Trans. Biomed. Eng., vol. 39, pp. 986–990, 1992.
11. L. Urankar, “Common compact analytical formulas for computation of geometry integrals on a basic cartesian sub-domain in boundary and volume integral methods,” Eng. Anal. Boundary Elements, vol. 7, pp. 124–129, 1990.
12. T. Kuwahara and T. Takeda, “A formula of boundary integral for potential problem and its consideration,” in Proc. First Japan-China Symp. Boundary Element Methods Theory Apply., M. Tanaka and Q. H. Du, eds., New York: Pergamon, 1987, pp. 47–56.
13. T. Kuwahara and T. Takeda, “An effective analysis for threedimensional boundary element method using analytically integrated higher-order elements,” Trans. IEE Japan, vol. 107-A, pp. 275–282, 1987, (In Japanese).
14. J. Radon, “Zur mechanischen Kubatur,” Monat. Mathematik, vol. 52, pp. 286–300, 1948.
15. A. Van Oosterom and J. Strackee, “The solid angle of a plane triangle,” IEEE Trans. Biomed. Eng., vol. BME-30, pp. 125–126, 1983.