Quantitive Estimation of Imaging Parameters in Photoacoustics using Focusing or Assuming Piecewise Constant Imaging Parameters

Cet exposé a lieu dans le cadre du Workshop Imagerie Multi-Ondes :
http://www-ljk.imag.fr/membres/Faouzi.Triki/projetPbsInverses/workshopMI.html

In this talk we will discuss mathematical possibilities of estimating imaging parameters quantitatively via photoacoustic imaging. We derive backprojection formulas for focused illumination and detection. Moreover,we consider parallel estimation of the wave speed function and the absorption density, the later is the standard imaging parameter of photoacoustics. The second part of the talk is concerned with quantitative imaging of piecewise constant parameters in photoacoustic imaging. As we show, the numerical realization can be based on edge detection algorithms. The talk is based on joint work with Peter Elbau, Wolf Naetar (Vienna) and Andreas Kirsch (Karlsruhe).