Summary
The aim of this chapter is to consider two challenging problems in photo-acoustic imaging. We consider extended optical sources in an attenuating acoustic background. We provide algorithms to correct the effects of imposed boundary conditions and that of attenuation as well. By testing our measurements against an appropriate family of functions, we show that we can access the Radon transform of the initial condition in the acoustic wave equation, and thus recover quantitatively the absorbing energy density. We also show how to compensate the effect of acoustic attenuation on image quality by using the stationary phase theorem.
Keywords
- Singular Value Decomposition
- Attenuation Model
- Numerical Inversion
- Homogeneous Dirichlet Boundary Condition
- Impose Boundary Condition
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Acknowledgements
This work was supported by the ERC Advanced Grant Project MULTIMOD–267184.
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Ammari, H., Bretin, E., Jugnon, V., Wahab, A. (2012). Photoacoustic Imaging for Attenuating Acoustic Media. In: Ammari, H. (eds) Mathematical Modeling in Biomedical Imaging II. Lecture Notes in Mathematics(), vol 2035. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22990-9_3
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DOI: https://doi.org/10.1007/978-3-642-22990-9_3
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