Detecting stochastic inclusions in electrical impedance tomography

Andrea Barth, Bastian Harrach, Nuutti Hyvönen, Lauri Mustonen

Research output: Contribution to journalArticleScientificpeer-review

13 Citations (Scopus)
56 Downloads (Pure)

Abstract

This work considers the inclusion detection problem of electrical impedance tomography with stochastic conductivities. It is shown that a conductivity anomaly with a random conductivity can be identified by applying the factorization method or the monotonicity method to the mean value of the corresponding Neumann-to-Dirichlet map provided that the anomaly has high enough contrast in the sense of expectation. The theoretical results are complemented by numerical examples in two spatial dimensions.
Original languageEnglish
Article number115012
Pages (from-to)1-18
JournalInverse Problems
Volume33
Issue number11
DOIs
Publication statusPublished - Oct 2017
MoE publication typeA1 Journal article-refereed

Keywords

  • electrical impedance tomography
  • stochastic conductivity
  • inclusion detection
  • factorization method
  • monotonicity method

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