Reconstructions in Ultrasound Modulated Optical Tomography
Analysis of PDEs
2010-04-12 v3 Mathematical Physics
math.MP
Abstract
We introduce a mathematical model for ultrasound modulated optical tomography and present a simple reconstruction scheme for recovering the spatially varying optical absorption coefficient from scanning measurements with narrowly focused ultrasound signals. Computational results for this model show that the reconstruction of sharp features of the absorption coefficient is possible. A formal linearization of the model leads to an equation with a Fredholm operator, which explains the stability observed in our numerical experiments.
Keywords
Cite
@article{arxiv.0910.2748,
title = {Reconstructions in Ultrasound Modulated Optical Tomography},
author = {Moritz Allmaras and Wolfgang Bangerth},
journal= {arXiv preprint arXiv:0910.2748},
year = {2010}
}
Comments
Section 2 now contains a more detailed derivation of the mathematical model.