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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.
Originalsprog | Engelsk |
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Tidsskrift | SIAM Journal on Applied Mathematics |
Vol/bind | 80 |
Udgave nummer | 1 |
Sider (fra-til) | 20-43 |
Antal sider | 24 |
ISSN | 0036-1399 |
DOI | |
Status | Udgivet - 2020 |
Fingeraftryk
Dyk ned i forskningsemnerne om 'Optimal depth-dependent distinguishability bounds for electrical impedance tomography in arbitrary dimension'. Sammen danner de et unikt fingeraftryk.Aktiviteter
- 1 Gæsteophold ved andre institutioner
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Aalto University
Garde, H. (Gæsteforsker)
1 feb. 2019 → 31 dec. 2019Aktivitet: Gæsteophold ved andre institutioner