The boundary element method in the forward and inverse problem of electrical impedance tomography

IEEE Transactions on Biomedical Engineering

Volumn 47, Issue 6, 2000, Pages 792-800

  De Munck, Jan C ^a   Faes, Theo J C ^a   Heethaar, Rob M ^a  

^a VU UNIVERSITY MEDICAL CENTER   (Netherlands)

Author keywords

Boundary element method (bem); Electrical impedance tomography (eit); Inverse problem; Parametric method

Indexed keywords

ALGORITHM; ANIMAL; AORTA; ARTICLE; BIOLOGICAL MODEL; COMPARATIVE STUDY; COMPUTER SIMULATION; ELECTRODE; HUMAN; IMPEDANCE; INSTRUMENTATION; LUNG; METHODOLOGY; NONLINEAR SYSTEM; PHYSIOLOGY; SIGNAL PROCESSING; STATISTICS; TOMOGRAPHY; ANALYTIC METHOD; ANATOMY; COMPUTER ASSISTED IMPEDANCE TOMOGRAPHY; CONDUCTANCE; ELECTRIC POTENTIAL; FINITE ELEMENT ANALYSIS; GEOMETRY; IMAGE RECONSTRUCTION; PARAMETER; SIGNAL NOISE RATIO; SIMULATION;

ALGORITHMS; ANIMALS; AORTA; COMPUTER SIMULATION; ELECTRIC IMPEDANCE; ELECTRODES; HUMANS; LUNG; MODELS, BIOLOGICAL; NONLINEAR DYNAMICS; SIGNAL PROCESSING, COMPUTER-ASSISTED; TOMOGRAPHY;

ALGORITHMS; BOUNDARY ELEMENT METHOD; COMPUTER SIMULATION; GEOMETRY; INVERSE PROBLEMS; MEASUREMENT ERRORS; PARAMETER ESTIMATION; VOLTAGE MEASUREMENT;

LUNG CONDUCTIVITY; MINIMIZATION PROBLEM;

ELECTRIC IMPEDANCE TOMOGRAPHY;

EID: 0033625606     PISSN: 00189294     EISSN: None     Source Type: Journal    
DOI: 10.1109/10.844230     Document Type: Article

References (29)

1. E. Cherkaeva and A. C. Tripp, Inverse conductivity problem for inaccurate measurements, Inverse Problems, vol. 12, pp. 869-883, 1996.
2. L. Borcea, J. G. Berryman, and G. C. Papanicolaou, High-contrast impedance tomography, Inverse Problems, vol. 12, pp. 835-858, 1996.
3. A. Plaskowski, M. S. Beek, R. Thorn, and J. Pyakowski, Imaging Industrial flows, Applications of Electrical Procès Tomography. Philadelphia, PA: Inst. Phys., 1995.
4. B. H. Brown, D. C. Barber, and A. D. Seagar, Applied potential tomography: Possible clinical application, Clin. Phys. Physiol. Meas., vol. 6, pp. 109-121, 1985.
5. J. G. Webster, Electrical Impedance Tomography, J. G. Webster, Ed. New York: Adam Hilger, 1990.
6. D. C. Barber and B. H. Brown, Applied potential tomography, J. Phys. E.: Sei. Instrum., vol. 37, pp. 723-732, 1984.
7. D. C. Barber and A. D. Seagar, Applied potential tomography, Clin. Phys. Physiol. Meas., vol. 8, pp. 47-54, 1987.
8. F. Santosa and M. Vogelius, A backprojection algorithm for electrical impedance imaging, SIAM J. Appl. Math., vol. 50, pp. 216-243, 1990.
9. A. P. Calderon, On an inverse boundary value problem, in Proc. Soc. Brasileira de Mathematica Seminar on Numerical Analysis and its Application to Continuum Mechanics, Rio de Janeiro, Argentina, 1980, pp. 65-73.
10. W. R. Breckon andM. K. Pidcock, Mathematical aspects of impedance imaging, Clin. Phys. Physiol. Meas., vol. 8, pp. 77-84, 1987.
11. T. J. Yorkey, J. G. Webster, and W. J. Tompkins, Comparing reconstruction algorithms for electrical impedance tomography, IEEE Trans. BiomedEng., vol. BME-34, pp. 843-851, Nov. 1987.
12. W. P. Liu, P. Hua, and J. G. Webster, Three-dimensional reconstruction in electrical impedance tomography, Clin. Phys. Physiol. Meas., vol. 9, pp. 131-135, 1988.
13. P. Hua, E. J. Woo, J. G. Webster, and W. J. Tompkins, Iterative reconstruction methods using regularization and optimal current patterns in electrical impedance tomography, IEEE Trans. Med. Imag., vol. 10, pp. 621-628, Aug. 1991.
14. T. J. Yorkey and J. G. Webster, A comparison of impedance tomographic reconstruction algorithms, Clin. Phys. Physiol. Meas., vol. 8, pp. 55-62, 1987.
15. D. Isaacson, M. Cheney, andJ. C. Newell, Comments on reconstruction algorithms, Clin. Phys. Physiol. Meas., pp. 83-89, 1992.
16. P. Hua and E. J. Woo, Reconstruction algorithms, in Electrical Impedance Tomography, J. G. Webster, Ed. New York: Adam Hilger, 1990, pp. 97-136.
17. J. P. Morucci and P. M. Marsili, Bioelectrical impedance techniques in medicine, Part III: Impedance imaging, second section: Reconstruction algorithms, Crit. Rev. Biomed. Eng., vol. 24, no. 4-6, pp. 599-654, 1996.
18. A. Vonk Noordegraaf, T. J. C. Faes, A. Janse, J. T. Marcus, R. M. Heethaar, P. E. Postmus, and P. M. J. M. De Vries, Improvement of cardiac imaging in electrical impedance tomography by means of a new electrode configuration, Physiol. Meas., vol. 17, pp. 179-188, 1996.
19. R. Duraiswami, G. L. Chahine, and K. Sarkar, Boundary element techniques for efficient 2-D and 3-D electrical impedance tomography, Chem. Eng. Sei, vol. 13, pp. 2185-2196, 1997.
20. R. Duraiswami, K. Sarkar, and G. L. Chahine, Efficient 2-D and 3-D electrical impedance tomography using dual reciprocity boundary element techniques, Eng. Anal, with Boundary Elements, 1997, to be published.
21. 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. 986-989, Sept. 1992.
22. A. C. L. Barnard, J. M. Duck, M. S. Lynn, and W. P. Timlake, The application of electromagnetic theory to electrocardiology II, Biophys. J., vol. 7, pp. 463-491, 1967.
23. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series and Products (corrected and enlarged edition). San Diego, CA: Academic, 1979.
24. Y Bard, Non Linear Parameter Estimation. New York: Academic, 1974.
25. W. H. Press, B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling, Numerical Recipes in C. Cambridge, U.K.: Cambridge Univ. Press, 1988.
26. A. D. Seagar, D. C. Barber, and B. H. Brown, Theoretical limits to the sensitivity and resolution in impedance imaging, Clin. Phys. Physiol. Meas.. vol. 8, pp. 13-31, 1987.
27. M. Van Herk and H. Kooy, Automatic three-dimensional correlation of CT-CT, CT-MRI and CT-SPECT using chamber matching, Med. Phys.. vol. 21, pp. 1163-1178, 1994.
28. L. A. W. Smulders and V. A. Oosterom, Application of electrical impedance tomography to the determination of lung volume, Clin. Phys. Physiol. Meas.. vol. 13, pp. 167-170, 1992.
29. D. S. Holder, Electrical impedance tomography (EIT) of brain function, Brain Topogr.. vol. 5, pp. 87-93, 1992.