A nonlinear inverse problem inspired by three‐dimensional diffuse tomography: Explicit formulas

Abstract

We use time of flight information to obtain explicit inversion formulas for a simple model of optical tomography. This can be considered as an instance of a more general nonlinear inversion problem for multi‐terminal networks. In this case the network is nonplanar with lots of cycles but the underlying physical model yields a highly structured situation. © 2003 Wiley Periodicals, Inc. Int J Imaging Syst Technol 12, 198–203, 2002; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/ima.10031

Document Details

Document Type
Pub Defense Publication
Publication Date
Jan 01, 2002
Source ID
10.1002/ima.10031

Entities

People

  • F. Alberto Grünbaum
  • Laura Felicia Matusevich

Organizations

  • Air Force Office of Scientific Research
  • Clay Mathematics Institute
  • National Science Foundation

Tags

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Fluid Dynamics.
  • Neural Network Machine Learning.