The D-Bar Method for Diffuse Optical Tomography: A Computational Study

Research output: Contribution to journalArticleScientificpeer-review

Researchers

  • J. Tamminen
  • T. Tarvainen
  • S. Siltanen

Research units

  • University College London
  • Tallinna Tehnikaulikool Toendab, Eesti
  • University of Helsinki
  • University of Eastern Finland

Abstract

The D-bar method at negative energy is numerically implemented. Using the method, we are able to numerically reconstruct potentials and investigate exceptional points at negative energy. Subsequently, applying the method to diffuse optical tomography, a new way of reconstructing the diffusion coefficient from the associated Complex Geometrics Optics solution is suggested and numerically validated.

Details

Original languageEnglish
Pages (from-to)225-240
Number of pages16
JournalExperimental Mathematics
Volume26
Issue number2
Publication statusPublished - 2017
MoE publication typeA1 Journal article-refereed

    Research areas

  • D-bar method, diffuse optical tomography, exceptional points, inverse problems, numerical simulation

ID: 6884488