Reconstruction of a piecewise constant conductivity on a polygonal partition via shape optimization in EIT

Elena Beretta, Stefano Micheletti, Simona Perotto, Matteo Santacesaria

Research output: Contribution to journalArticle

Abstract

In this paper, we develop a shape optimization-based algorithm for the electrical impedance tomography (EIT) problem of determining a piecewise constant conductivity on a polygonal partition from boundary measurements. The key tool is to use a distributed shape derivative of a suitable cost functional with respect to movements of the partition. Numerical simulations showing the robustness and accuracy of the method are presented for simulated test cases in two dimensions.

Original languageEnglish (US)
Pages (from-to)264-280
Number of pages17
JournalJournal of Computational Physics
Volume353
DOIs
StatePublished - Jan 15 2018

Fingerprint

shape optimization
Acoustic impedance
Shape optimization
electrical impedance
Tomography
partitions
tomography
Derivatives
conductivity
Computer simulation
costs
simulation

Keywords

  • Electrical impedance tomography
  • Neumann-to-Dirichlet map
  • Reconstruction algorithm
  • Regularization
  • Shape optimization

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)
  • Computer Science Applications

Cite this

Reconstruction of a piecewise constant conductivity on a polygonal partition via shape optimization in EIT. / Beretta, Elena; Micheletti, Stefano; Perotto, Simona; Santacesaria, Matteo.

In: Journal of Computational Physics, Vol. 353, 15.01.2018, p. 264-280.

Research output: Contribution to journalArticle

Beretta, Elena ; Micheletti, Stefano ; Perotto, Simona ; Santacesaria, Matteo. / Reconstruction of a piecewise constant conductivity on a polygonal partition via shape optimization in EIT. In: Journal of Computational Physics. 2018 ; Vol. 353. pp. 264-280.
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