Image Reconstruction from Experimental Data in Diffusion Tomography

  • Michael V. Klibanov
  • Thomas R. Lucas
  • Robert M. Frank
Part of the The IMA Volumes in Mathematics and its Applications book series (IMA, volume 110)


The authors have recently introduced a novel imaging algorithm for optical/diffusion tomography, the “Elliptic Systems Method” (ESM). In this article the performance of the ESM is analyzed for experimental data. Images are obtained for the case of a single source and seven (7) detector locations, an unusually limited number of source/detector pairs. These images are verified by numerical simulation. A new approach to data fitting (at the detectors) is introduced.


Inverse Problem Image Reconstruction Elliptic System Background Medium Diffusion Tomography 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer Science+Business Media New York 1999

Authors and Affiliations

  • Michael V. Klibanov
    • 1
  • Thomas R. Lucas
    • 1
  • Robert M. Frank
    • 1
  1. 1.Department of MathematicsUniversity of North Carolina at CharlotteCharlotteUSA

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