Optical tomography on graphs

Francis J. Chung, Anna C. Gilbert, Jeremy G. Hoskins, John C. Schotland

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

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.

Original languageEnglish
Article number055016
JournalInverse Problems
Volume33
Issue number5
DOIs
StatePublished - Apr 5 2017

Bibliographical note

Publisher Copyright:
© 2017 IOP Publishing Ltd.

Keywords

  • inverse Born series
  • optical tomograpy
  • spectral graph theory

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Signal Processing
  • Mathematical Physics
  • Computer Science Applications
  • Applied Mathematics

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