Thermoacoustic tomography arising in brain imaging
Analysis of PDEs
2015-05-19 v1 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1009.1687,
title = {Thermoacoustic tomography arising in brain imaging},
author = {Plamen Stefanov and Gunther Uhlmann},
journal= {arXiv preprint arXiv:1009.1687},
year = {2015}
}