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arXiv · 1009.1687

Thermoacoustic tomography arising in brain imaging

Plamen Stefanov·Gunther Uhlmann
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Abstract

We study the mathematical model of thermoacoustic and photoacoustic tomography when the sound speed has a jump across a smooth surface. This models the change of the sound speed in the skull when trying to image the human brain. We derive an explicit inversion formula in the form of a convergent Neumann series under the assumptions that all singularities from the support of the source reach the boundary.

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Plamen Stefanov, Gunther Uhlmann. 2010-09-09. Thermoacoustic tomography arising in brain imaging. https://doi.org/10.1088/0266-5611%2F27%2F4%2F045004

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