Optical tomography on graphs
Combinatorics
2017-04-26 v1
Abstract
We present an algorithm for solving inverse problems on graphs analogous to those arising in diffuse optical tomography for continuous media. In particular, we formulate and analyze a discrete version of the inverse Born series, proving estimates characterizing the domain of convergence, approximation errors, and stability of our approach. We also present a modification which allows additional information on the structure of the potential to be incorporated, facilitating recovery for a broader class of problems.
Cite
@article{arxiv.1609.03041,
title = {Optical tomography on graphs},
author = {Francis J. Chung and Anna C. Gilbert and Jeremy G. Hoskins and John C. Schotland},
journal= {arXiv preprint arXiv:1609.03041},
year = {2017}
}