Thermoacoustic tomography arising in brain imaging
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🧮 math.AP
math-phmath.MP
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brainsoundspeedthermoacoustictomographywhenacrossarising
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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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