Adesokan, B;
Jensen, B;
Jin, B;
Knudsen, K;
(2019)
Acousto-Electric Tomography with Total Variation Regularization.
Inverse Problems
, 35
(3)
, Article 035008. 10.1088/1361-6420/aaece5.
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Abstract
We study the numerical reconstruction problem in acousto-electric tomography of recovering the conductivity distribution in a bounded domain from interior power density data. We propose a numerical method for recovering discontinuous conductivity distributions, by reformulating it as an optimization problem with L 1 fitting and total variation penalty subject to PDE constraints. We establish continuity and differentiability results for the forward map, the well-posedness of the optimization problem, and present an easy-to-implement and robust numerical method based on successive linearization, smoothing and iterative reweighing. Extensive numerical experiments are presented to illustrate the feasibility of the proposed approach.
| Type: | Article |
|---|---|
| Title: | Acousto-Electric Tomography with Total Variation Regularization |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1088/1361-6420/aaece5 |
| Publisher version: | https://doi.org/10.1088/1361-6420/aaece5 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | acousto-electric tomography, reconstruction, total variation |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Computer Science |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10059459 |
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