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Journal of Inverse and Ill-posed Problems

Editor-in-Chief: Kabanikhin, Sergey I.

IMPACT FACTOR 2017: 0.941
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CiteScore 2017: 0.91

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Volume 22, Issue 6


Reconstructing conductivities with boundary corrected D-bar method

Samuli Siltanen / Janne P. Tamminen
Published Online: 2014-02-15 | DOI: https://doi.org/10.1515/jip-2013-0042


The aim of electrical impedance tomography is to form an image of the conductivity distribution inside an unknown body using electric boundary measurements. The computation of the image from measurement data is a non-linear ill-posed inverse problem and calls for a special regularized algorithm. One such algorithm, the so-called D-bar method, is improved in this work by introducing new computational steps that remove the so far necessary requirement that the conductivity should be constant near the boundary. The numerical experiments presented suggest two conclusions. First, for most conductivities arising in medical imaging, it seems the previous approach of using a best possible constant near the boundary is sufficient. Second, for conductivities that have high contrast features at the boundary, the new approach produces reconstructions with smaller quantitative error and with better visual quality.

Keywords: Inverse problem; ill-posed problem; electrical impedance tomography; inverse conductivity problem

MSC: 58F15; 58F17; 53C35

About the article

Received: 2013-07-08

Published Online: 2014-02-15

Published in Print: 2014-12-01

Funding Source: Tampere University of Technology

Funding Source: Pirkanmaan kulttuurirahasto

Funding Source: Finnish Centre of Excellence in Inverse Problems Research

Award identifier / Grant number: CoE-project 213476

Citation Information: Journal of Inverse and Ill-posed Problems, Volume 22, Issue 6, Pages 847–870, ISSN (Online) 1569-3945, ISSN (Print) 0928-0219, DOI: https://doi.org/10.1515/jip-2013-0042.

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