Towards a d-bar reconstruction method for three-dimensional EIT

H. Cornean, K. Knudsen, S. Siltanen

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

31 Citationer (Scopus)

Abstract

Three-dimensional electrical impedance tomography (EIT) is considered. Both uniqueness proofs and theoretical reconstruction algorithms available for this problem rely on the use of exponentially growing solutions to the governing conductivity equation. The study of those solutions is continued here. It is shown that exponentially growing solutions exist for low complex frequencies without imposing any regularity assumption on the conductivity. Further, a reconstruction method for conductivities close to a constant is given. In this method the complex frequency is taken to zero instead of infinity. Since this approach involves only moderately oscillatory boundary data, it enables a new class of three-dimensional EIT algorithms, free from the usual high frequency instabilities.

OriginalsprogEngelsk
TidsskriftJournal of Inverse and Ill-Posed Problems
Vol/bind14
Udgave nummer2
Sider (fra-til)111-134
Antal sider24
ISSN0928-0219
DOI
StatusUdgivet - 1 jan. 2006

Fingeraftryk

Dyk ned i forskningsemnerne om 'Towards a d-bar reconstruction method for three-dimensional EIT'. Sammen danner de et unikt fingeraftryk.

Citationsformater