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Sectional Photoacoustic Imaging

Presented by: 
O Scherzer [University of Vienna and Radon Institute]
Thursday 1st December 2011 - 14:00 to 15:00
INI Seminar Room 2
The literature on reconstruction formulas for photoacoustic tomography is vast. The various reconstruction formulas differ by the used measurement devices and geometry on which the data are sampled. In standard photoacoustic imaging the object under investigation is illuminated uniformly. Recently, sectional photoacoustic imaging techniques, using focusing techniques for initializing and measuring the pressure along a plane, appeared in the literature. This talk surveys existing and provides novel exact reconstruction formulas for sectional photoacoustic imaging. Sectional imaging is a research topic on its own, but can also be used as an approach for identification of the absorption density and the speed of sound by photoacoustic measurements. The mathematical model for such an experiment is developed and exact reconstruction formulas for both parameters are presented. This is joint work with P.Elbau, A. Kirsch, R. Schulze.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons