Dynamic inverse obstacle problems with electrical impedance tomography

Mathematics and Computers in Simulation

Volumn 66, Issue 4-5 SPEC. ISS., 2004, Pages 399-408

  Kim, K Y ^a   Kim, B S ^a   Kim, M C ^a   Kim, S ^a  

^a Jeju National University   (South Korea)

Author keywords

Dynamic inverse obstacle problem; Electrical impedance tomography; Extended Kalman filter

Indexed keywords

ALGORITHMS; BOUNDARY CONDITIONS; COMPUTER SIMULATION; ELECTRIC CONDUCTIVITY; ELECTRIC POTENTIAL; FINITE ELEMENT METHOD; KALMAN FILTERING; KINEMATICS; NONLINEAR EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS;

DYNAMIC INVERSE OBSTACLE PROBLEMS; ELECTRICAL IMPEDENCE TOMOGRAPHY; EXTENDED KALMAN FILTERS; RESISTIVITY;

TOMOGRAPHY;

EID: 3042816350     PISSN: 03784754     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.matcom.2004.02.004     Document Type: Conference Paper

References (16)

1. J.G. Webster, Electrical Impedance Tomography, Adam Hilger, Bristol, 1990.
2. R.A. Williams, M.S. Beck, Process Tomography: Principles, Techniques and Applications, Butterworth-Heinemann, Oxford, 1995.
3. Cheney M., Isaacson D., Newell J.C. Electrical impedance tomography. SIAM Rev. 41(1):1999;85-101.
4. Smith R.W.M., Freeston I.L., Brown B.H. A real-time electrical impedance tomography system for clinical use - design and preliminary results. IEEE Trans. Biomed. Eng. 42(2):1995;133-140.
5. Ceccio S.L., George D.L. Review of electrical impedance techniques for the measurement of multiphase flows. J. Fluids Eng. 118:1996;391-399.
6. Yorkey T.J., Webster J.G., Tompkins W.J. Comparing reconstruction algorithms for electrical impedance tomography. IEEE Trans. Biomed. Eng. 34(11):1987;843-852.
7. Vauhkonen M., Karjalainen P.A., Kaipio J.P. A Kalman filter approach to track fast impedance changes in electrical impedance tomography. IEEE Trans. Biomed. Eng. 45(4):1998;486-493.
8. Vauhkonen P.J., Vauhkonen M., Makinen T., Karjalainen P.A., Kaipio J.P. Dynamic electrical impedance tomography - phantom studies. Inverse Problems Eng. 8:2000;495-510.
9. M. Vauhkonen, Electrical impedance tomography and prior information, Doctoral Dissertation, Department of Applied Physics, University Kuopio, Finland, 1997.
10. Kim K.Y., Kim B.S., Kim M.C., Lee Y.J., Vauhkonen M. Image reconstruction in time-varying electrical impedance tomography based on the extended Kalman filter. Meas. Sci. Technol. 12(8):2001;1032-1039.
11. Kim K.Y., Kang S.I., Kim M.C., Kim S., Lee Y.J., Vauhkonen M. Dynamic image reconstruction in electrical impedance tomography with known internal structures. IEEE Trans. Magn. 38(2):2002;1301-1304.
12. Kim K.Y., Kang S.I., Kim M.C., Kim S., Lee Y.J., Vauhkonen M. Dynamic imaging in electrical impedance tomography with known internal structures. Inverse Problems Eng. 11(1):2003;1-19.
13. Y. Bar-Shalom, X.-R. Li, Estimation and Tracking: Principles, Techniques, and Softwares, Artech House, 1993.
14. Somersalo E., Cheney M., Isaacson D. Existence and uniqueness for electrode models for electric current computed tomography. SIAM J. Appl. Math. 52(4):1992;1023-1040.
15. A. Gelb, Applied Optimal Estimation, MIT Press, Cambridge, MA, 1974.
16. M.S. Grewal, A.P. Andrews, Kalman Filtering: Theory and Practice, Prentice-Hall, Englewood Cliffs, NJ, 1993.