68
Views
6
CrossRef citations to date
0
Altmetric
Original Articles

Non-linear integral equations for the complete electrode model in inverse impedance tomography

&
Pages 1267-1288 | Received 29 Feb 2008, Accepted 04 Mar 2008, Published online: 23 Dec 2008

References

  • Somersalo , E , Cheney , M and Isaacson , D . 1992 . Existence and uniqueness for electrode models for electric current computed tomography . SIAM J. Appl. Math. , 52 : 1023 – 1040 .
  • Eckel , H and Kress , R . 2007 . Nonlinear integral equations for the inverse electrical impedance problem . Inverse Probl. , 23 : 475 – 491 .
  • Borcea , L . 2002 . Electrical impedance tomography . Inverse Probl. , 18 : R99 – R136 .
  • Hanke , M and Brühl , M . 2003 . Recent progress in electrical impedance tomography . Inverse Probl. , 19 : S65 – S90 .
  • Kress , R . 1999 . Linear Integral Equations , 2 , Berlin Heidelberg, New York : Springer-Verlag .
  • Eckel , H . 2008 . “ Numerical study of an evolutionary algorithm for electrical impedance tomography ” . In Dissertation , Göttingen : Ph.D. diss., Universität Göttingen .
  • Ciulli , S and Ispas , S . 1996 . Anomalous thresholds and edge singularities in electrical impedance tomography . J. Math. Phys. , 37 : 4388 – 4417 .
  • Elliott , D . 1998 . Sigmoidal transformations and the trapezoidal rule . J. Austral. Math. Soc. B , 40 : E77 – E137 .
  • Kress , R . 1990 . A Nyström method for boundary integral equations in domains with corners . Numer. Math. , 58 : 145 – 161 .
  • Kress , R . 1998 . Numerical Analysis , Berlin Heidelberg New York : Springer-Verlag .
  • Eckel , H and Potthast , R . 2007 . An evolutionary Newton method for shape reconstruction . J. Integral Equat. and Appl. , 19 : 261 – 287 .
  • Vaukhonen , M . 1997 . “ Electrical impedance tomography and prior information ” . In Dissertation , Kuopio University Publications, Ph.D. diss., University of Kuopio .
  • Kress , R and Rundell , W . 2005 . Nonlinear integral equations and iterative solution for an inverse boundary value problem . Inverse Probl. , 21 : 1207 – 1223 .
  • Cheney , M and Isaacson , D . 1992 . Distinguishability in Impedance Imaging . IEEE T. Bio-med. Eng. , 39 : 852 – 1040 .
  • Hahn , G , Just , A and Hellige , G . 2007 . Determination of the dynamic measurement error of EIT systems . ICEBI conference Graz 2007, IFMBE Proc. , 17 : 320 – 323 .
  • Ider , YZ . 1990 . Electrical impedance tomography of translationally uniform cylindrical objects with general cross-sectional boundaries . IEEE T. Med. Imaging , 9 : 49 – 59 .
  • Just , A . 1998 . Core imaging by electrical resistivity tomography . Proc. SEGJ Int. Symp. , 4 : 231 – 237 . Tokyo 1998

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.