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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.
Original language | English |
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Journal | SIAM Journal on Applied Mathematics |
Volume | 80 |
Issue number | 1 |
Pages (from-to) | 20-43 |
Number of pages | 24 |
ISSN | 0036-1399 |
DOIs | |
Publication status | Published - 2020 |
Keywords
- electrical impedance tomography
- Kelvin transformation
- depth dependence
- distinguishability
- Electrical impedance tomography
- Depth dependence
- Distinguishability
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Dive into the research topics of 'Optimal depth-dependent distinguishability bounds for electrical impedance tomography in arbitrary dimension'. Together they form a unique fingerprint.Activities
- 1 Visiting another research institution
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Aalto University
Henrik Garde (Visiting researcher)
1 Feb 2019 → 31 Dec 2019Activity: Visiting another research institution