Photoacoustic Imaging Taking into Account Attenuation

Details Photoacoustic Imaging Taking into Account Attenuation Photoacoustic Imaging Taking into Account Attenuation

2010-09-22

arxiv.org/abs/1009.4350v1

Mathematical Modeling in Biomedical Imaging II Lecture Notes in Mathematics, 2012, Volume 2035/2012, 85-130

Mathematics

Analysis of PDEs

Scientific paper

10.1007/978-3-642-22990-9_4

First, we review existing attenuation models and discuss their causality properties, which we believe to be essential for algorithms for inversion with attenuated data. Then, we survey causality properties of common attenuation models. We also derive integro-differential equations which the attenuated waves are satisfying. In addition we discuss the ill--conditionness of the inverse problem for calculating the unattenuated wave from the attenuated one.

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