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Mathematics of Photoacoustic and Thermoacoustic Tomography

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Handbook of Mathematical Methods in Imaging

Abstract

The chapter surveys the mathematical models, problems, and algorithms of the thermoacoustic tomography (TAT) and photoacoustic tomography (PAT) . TAT and PAT represent probably the most developed of the several novel “hybrid” methods of medical imaging. These new modalities combine different physical types of waves (electromagnetic and acoustic in case of TAT and PAT) in such a way that the resolution and contrast of the resulting method are much higher than those achievable using only acoustic or electromagnetic measurements.

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Acknowledgements

The work of both authors was partially supported by the NSF DMS grant 0908208. The first author was also supported by the NSF DMS grant 0604778 and by the KAUST grant KUS-CI-016-04 through the IAMCS. The work of the second author was partially supported by the DOE grant DE-FG02-03ER25577. The authors express their gratitude to NSF, DOE, KAUST, and IAMCS for the support.

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  1. Mathematics Department, Texas A & M University, College Station, TX, USA

    Peter Kuchment

  2. Department of Mathematics, University of Arizona, Tucson, AZ,USA

    Leonid Kunyansky

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  1. Peter Kuchment
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Correspondence to Peter Kuchment .

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  1. Computational Science Center, University of Vienna, Vienna, Austria

    Otmar Scherzer

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Kuchment, P., Kunyansky, L. (2015). Mathematics of Photoacoustic and Thermoacoustic Tomography. In: Scherzer, O. (eds) Handbook of Mathematical Methods in Imaging. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-0790-8_51

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