Inverse problem for the 3D equation of radiative transfer

Gassan S. Abdoulaev, Andreas Hielscher

Research output: Chapter in Book/Report/Conference proceedingConference contribution


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.
Original languageEnglish (US)
Title of host publicationNumerical Mathematics and Advanced Applications
StatePublished - 2003


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