Thermoacoustic tomography arising in brain imaging
arXiv:1009.1687 · doi:10.1088/0266-5611/27/4/045004
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.