Acousto-electric tomography with total variation regularization

Bolaji James Adesokan, Bjorn Jensen*, Bangti Jin, Kim Knudsen

*Corresponding author for this work

Research output: Contribution to journalJournal articleResearchpeer-review

24 Downloads (Pure)

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, and the well-posedness of the optimization problem, and present an easy-toimplement and robust numerical method based on successive linearization, smoothing and iterative reweighting. Extensive numerical experiments are presented to illustrate the feasibility of the proposed approach.
Original languageEnglish
Article number035008
JournalInverse Problems
Volume35
Issue number3
Number of pages25
ISSN0266-5611
DOIs
Publication statusPublished - 2019

Keywords

  • Acousto-electric tomography
  • Reconstruction
  • Total variation

Fingerprint Dive into the research topics of 'Acousto-electric tomography with total variation regularization'. Together they form a unique fingerprint.

Cite this