Inverse problem for the 3D equation of radiative transfer

  • G. S. Abdoulaev
  • A. H. Hielscher
Conference paper


We present the first three-dimensional tomographic reconstruction scheme for general geometries and arbitrary spatial material distributions that is based on the equation of radiative transfer. This scheme builds on the concept of model-based iterative image reconstruction, in which a forward model provides prediction of detector readings, and a gradient-based updating scheme minimizes an objective function. The gradient of the objective function is found by employing an adjoint differentiation method.


Inverse Problem Radiative Transfer Forward Model Mesh Node Reconstruction Scheme 
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Copyright information

© Springer-Verlag Italia 2003

Authors and Affiliations

  • G. S. Abdoulaev
    • 1
  • A. H. Hielscher
    • 1
  1. 1.Department of Biomedical EngineeringColumbia UniversityNew YorkUSA

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