Optimal depth-dependent distinguishability bounds for electrical impedance tomography in arbitrary dimension
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Journal Title
Journal ISSN
Volume Title
A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
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Author
Date
2020-01-01
Major/Subject
Mcode
Degree programme
Language
en
Pages
24
20-43
20-43
Series
SIAM Journal on Applied Mathematics, Volume 80, issue 1
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.Description
Keywords
Depth dependence, Distinguishability, Electrical impedance tomography, Kelvin transformation
Other note
Citation
Garde , H & Hyvönen , N 2020 , ' Optimal depth-dependent distinguishability bounds for electrical impedance tomography in arbitrary dimension ' , SIAM Journal on Applied Mathematics , vol. 80 , no. 1 , pp. 20-43 . https://doi.org/10.1137/19M1258761
