Reconstruction and stability in acousto-optic imaging for absorption   maps with bounded variation
  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. 
Habib Ammari, Loc Hoang Nguyen and Laurent Seppecher
math.AP