Acousto-Electric Tomography with Total Variation Regularization
| Autor: | Adesokan, Bolaji James, Jensen, Bjørn, Jin, Bangti, Knudsen, Kim |
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| Rok vydání: | 2018 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1088/1361-6420/aaece5 |
| Popis: | 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. Comment: 22 pages, 30 figures |
| Databáze: | arXiv |
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