Optimal depth-dependent distinguishability bounds for electrical impedance tomography in arbitrary dimension

Henrik Garde, Nuutti Hyvönen

Research output: Working paperResearch

Abstract

The inverse problem of electrical impedance tomography is severely ill-posed. In particular, the resolution of images produced by impedance tomography deteriorates as the distance from the measurement boundary increases. Such depth dependence can be quantified by the concept of distinguishability of inclusions. This paper considers the distinguishability of perfectly conducting ball inclusions inside a unit ball domain, extending and improving known two-dimensional results to an arbitrary dimension d ≥ 2 with the help of Kelvin transformations. The obtained depth-dependent distinguishability bounds are also proven to be optimal.
Original languageEnglish
PublisherarXiv.org
Number of pages20
Publication statusPublished - 2019

Fingerprint

electrical impedance
balls
tomography
inclusions
impedance
conduction

Keywords

  • electrical impedance tomography
  • Kelvin transformation
  • depth dependence
  • distinguishability

Cite this

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abstract = "The inverse problem of electrical impedance tomography is severely ill-posed. In particular, the resolution of images produced by impedance tomography deteriorates as the distance from the measurement boundary increases. Such depth dependence can be quantified by the concept of distinguishability of inclusions. This paper considers the distinguishability of perfectly conducting ball inclusions inside a unit ball domain, extending and improving known two-dimensional results to an arbitrary dimension d ≥ 2 with the help of Kelvin transformations. The obtained depth-dependent distinguishability bounds are also proven to be optimal.",
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Optimal depth-dependent distinguishability bounds for electrical impedance tomography in arbitrary dimension. / Garde, Henrik; Hyvönen, Nuutti.

arXiv.org, 2019.

Research output: Working paperResearch

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