arXiv:1405.2679 [math.AP]AbstractReferencesReviewsResources
Reconstruction and stability in acousto-optic imaging for absorption maps with bounded variation
Habib Ammari, Loc Hoang Nguyen, Laurent Seppecher
Published 2014-05-12Version 1
The aim of this paper is to propose for the first time a reconstruction scheme and a stability result for recovering from acoustic-optic data absorption distributions with bounded variation. The paper extends earlier results on smooth absorption distributions. It opens a door for a mathematical and numerical framework for imaging, from internal data, parameter distributions with high contrast in biological tissues.
Categories: math.AP
Related articles: Most relevant | Search more
arXiv:2001.07858 [math.AP] (Published 2020-01-22)
On diffusive scaling in acousto-optic imaging
arXiv:2001.01657 [math.AP] (Published 2020-01-06)
Composition operator for functions of bounded variation
arXiv:1903.02349 [math.AP] (Published 2019-03-06)
Approximation of the Mumford-Shah Functional by Phase Fields of Bounded Variation