ELECTRICAL IMPEDANCE IMAGING FOR SEARCHING ANOMALIES

  • Ohin Kwon (Department of Mathematics and Natural Science Research Institute, Yonsei University) ;
  • Seo, Jin-Keun (Department of Mathematics, Yonsei University) ;
  • Woo, Eung-Je (School of Electronics and Information, Kyung Hee University) ;
  • Yoon, Jeong-Rock (School of Mathematics, Korea Institute for Advanced Study)
  • Published : 2001.07.01

Abstract

The aim of EIT (electrical impedance tomography) system is to image cross-section conductivity distribution of a human body by means of both generating and sensing electrodes attached on to the surface of the body, where currents are injected and voltages are measured. EIT has been suffered from the severe ill-posedness which is caused by the inherent low sensitivity of boundary measurements to any changes of internal tissue conductivity values. With a limited set of current-to-voltage data, figuring out full structure of the conductivity distribution could be extremely difficult at present time, so it could be worthwhile to extract some necessary partial information of the internal conductivity. We try to extract some key patterns of current-to-voltage data that furnish some core information on the conductivity distribution such s location and size. This overview provides our recent observation on the location search and the size estimation.

Keywords

References

  1. Trans. Amer. Math. Soc. v.347 Local uniqueness in the inverse problem with one measurement G, Alessandrini, V.;Isakov;J. Powell
  2. SIAM J. Appl. Math. v.58 The inverse conductivity problem with one measurement: bounds on the size of the unknown object G, Alessandrini;E. Rosset
  3. Proc. Amer. Math. Soc. v.128 Optimal size estimates for the inverse conductivity problem with one measurement G. Alessandrini;E. Rosset;J.K. Seo
  4. Arch. Rat. Mech. Anal. v.101 Identification problem in potential theory H, Bellout;A. Friedman
  5. Trans. Amer. Math. Soc. v.332 Inverse problem in potential theory H. Bellout;A. Friedman;V. Isakov
  6. Inverse Problems v.16 Numerical implementation of two non-interative methods for locating inclusions by impedance tomography M. Bruhl;M. Hanke
  7. Inverse Problems v.7 Numerical recovery of certain discontinuous electrical conductivities K. Brayan
  8. Inverse Problems v.14 Identification of conductivity imperfections of small parameter by boundary measurements. Continuous dependence and computational reconstruction D.J. Cedio-Fengya;S. Moskow;M. Vogelius
  9. SIAM Review v.41 Electrical impedance tomography M. Cheney;D. Isaacson;J.C. Newell
  10. SIAM J. of Math. Anal. v.30 Inverse conductivity problem: error estimates and approximate identification for perturbed disks E. Fabes;H. Kang;J.K. Seo
  11. Indiana Univ. Math. J. v.38 On the nuiqueness in the inverse conductivity problem with one measurement A. Friedman;V. Isakov
  12. Arch. Rat. Mech. Anal. v.105 Identification of small inhomogeneities of extreme conductivity by boundary measuremetns: a theorem on continuous dependence A. Friedman;M. Vogelius
  13. Inverse Problems v.14 The determination of a discontinuity in a conductivity from a single boundary measurement F. Hettlich;W. Rundell
  14. Clin. Phys. Physiol. Meas. v.9 A regularized electrical impedance tomography reconstruction algorithm P. Hua;W. Tompkins;J. Webster
  15. IEEE Trans. Medical Imaging Distinguishability of conductivities by electric current computed tomogtaphy D. Isaacson
  16. Inverse Problems v.12 Layer potential technique for the inverse conductivity problem H. Kang;J.K. Seo
  17. SIAM J. Appl. Math. v.59 Inverse conductivity problem with one measurement: uniqueness for balls in R³
  18. SIAM J. of Math. Anal. v.28 Inverse conductivity problem with one measurement: Stability and estimations of size H. Kang;J. K. Seo;D. Sheen
  19. Inverse Problems v.17 Total size estimation and identification of multiple anomalies in the inverse electrical impdeance tomography O. Kwon;J.K. Seo
  20. A real time algorithm for the location search of discontinuous concuctivites with one measurement O. Kwon;J.K. Seo;J.R. Yoon
  21. Inverse conductivity problem: Local search method for multiple anomalies