Electrical impedance tomography using level set representation and total variational regularization

Eric T. Chung, Tony Chan, Xue Cheng Tai*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

171 Scopus citations

Abstract

In this paper, we propose a numerical scheme for the identification of piecewise constant conductivity coefficient for a problem arising from electrical impedance tomography. The key feature of the scheme is the use of level set method for the representation of interface between domains with different values of coefficients. Numerical tests show that our method can recover sharp interfaces and can tolerate a relatively high level of noise in the observation data. Results concerning the effects of number of measurements, noise level in the data as well as the regularization parameters on the accuracy of the scheme are also given.

Original languageEnglish (US)
Pages (from-to)357-372
Number of pages16
JournalJournal of Computational Physics
Volume205
Issue number1
DOIs
StatePublished - May 1 2005

ASJC Scopus subject areas

  • Numerical Analysis
  • Modeling and Simulation
  • Physics and Astronomy (miscellaneous)
  • Physics and Astronomy(all)
  • Computer Science Applications
  • Computational Mathematics
  • Applied Mathematics

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