Medical Engineering & Physics
Volume 30, Issue 2 , Pages 144-153 , March 2008

Application of conformal transformation to elliptic geometry for electric impedance tomography

Received 13 April 2006 ,Revised 19 March 2007 ,Accepted 22 March 2007.

References 

  1. Brown BH, Barber DC, Seagar AD. Applied potential tomography: possible clinical applications. Clin Phys Physiol Meas. 1985;6(2):109–121
  2. Woo EJ, Hua P, Webster JG, Tompkins WJ. A robust image reconstruction algorithm and its parallel implementation in electrical impedance tomography. IEEE Trans Med Imag. 1986;MI-12(2):137–146
  3. Brown BH, Barber DC, Morice AH, Leathard AD. Cardiac and respiratory related electrical impedance changes in the human thorax. IEEE Trans Biomed Eng. 1994;41(8):
  4. Smith RWM, Freeston IL, Brown BH. A real-time impedance tomography system for clinical use design and preliminary results. IEEE Trans Biomed Eng. 1995;42(2):133–140
  5. Murai T, Kagawa Y. Electrical impedance computed tomography based on a finite element model. IEEE Trans Biomed Eng. 1985;BME-32:177–184
  6. Pullan A. A high-order coupled finite element/boundary element torso model. IEEE Trans Biomed Eng. 1996;43(3):292–297
  7. Sinton MB, Brown BH, Barber DC, McArdle FJ, Leathard AD. Noise and spatial resolution of a real-time electrical impedance tomograph. Clin Phys Physiol Meas. 1992;13(Suppl A):125–130
  8. Isaacson D. Distinguishability of conductivities by electrical computed tomography. IEEE Trans Med Imag. 1986;MI-5:91–95
  9. Cheney M, Isaacson D, Newell JC. Electrical impedance tomography. SIAM Rev. 1999;41(1):85–101
  10. Jain H, Isaacson D, Edic P, Newell JC. Electrical impedance tomography of complex conductivity distribution with noncircular boundary. IEEE Trans Biomed Eng. 1997;44:1051–1060
  11. Saka B, Yilmaz A. Elliptic cylinder geometry for distinguishability analysis in impedance tomography. IEEE Trans Biomed Eng. 2004;51:126–132
  12. Kleinermann F, Avis NJ, Alhargan FA. Analytical solution to the three-dimensional electricaforward problem for an elliptical cylinder. Physiol Meas. 2002;23:141–147
  13. Akdoğan K, Yilmaz A, Saka B. Analysis of forward problem in EIT by using analytical and finite element methods. In: IEEE MWCAS. Cairo, December 27–30. 2003;
  14. Metherall P, Barber DC, Smallwood RH, Brown BH. Three-dimensional electrical impedance tomography. Nature. 1996;380:509–512
  15. Köksal A, Eyüboğlu BM. Determination of optimum injected current patterns in electrical impedance tomography. Physiol Meas. 1995;16:A99–A109
  16. Cheney M, Isaacson D. Distinguishability in impedance imaging. IEEE Trans Biomed Eng. 1992;39:852–860
  17. Nehari Z. Conformal Mapping. McGraw-Hill; 1952;
  18. Churchill RV, Brown JW. Complex Variables and Applications. McGraw-Hill; 1984;

PII: S1350-4533(07)00059-8

doi: 10.1016/j.medengphy.2007.03.007

Medical Engineering & Physics
Volume 30, Issue 2 , Pages 144-153 , March 2008