The linearized inverse problem in multifrequency electrical impedance tomography

Giovanni S. Alberti, Habib Ammari, Bangti Jin, Jin Keun Seo, Wenlong Zhang

Research output: Contribution to journalArticlepeer-review

37 Citations (Scopus)


This paper provides an analysis of the linearized inverse problem in multifrequency electrical impedance tomography. We consider an isotropic conductivity distribution with a finite number of unknown inclusions with different frequency dependence, as is often seen in biological tissues. We discuss reconstruction methods for both fully known and partially known spectral profiles and demonstrate in the latter case the successful employment of difference imaging. We also study the reconstruction with an imperfectly known boundary and show that the multifrequency approach can eliminate modeling errors and recover almost all inclusions. In addition, we develop an efficient group sparse recovery algorithm for the robust solution of related linear inverse problems. Several numerical simulations are presented to illustrate and validate the approach.

Original languageEnglish
Pages (from-to)1525-1551
Number of pages27
JournalSIAM Journal on Imaging Sciences
Issue number4
Publication statusPublished - 2016

Bibliographical note

Publisher Copyright:
© 2016 Society for Industrial and Applied Mathematics.

All Science Journal Classification (ASJC) codes

  • General Mathematics
  • Applied Mathematics


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