Acousto-electric tomography with total variation regularization

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

*Corresponding author for this work

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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
Issue number3
Number of pages25
Publication statusPublished - 2019


  • Acousto-electric tomography
  • Reconstruction
  • Total variation

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