Inverse problem for the 3D equation of radiative transfer

Gassan S.  Abdoulaev; Andreas Hielscher

doi:https://doi.org/10.1007/978-88-470-2089-4_49

Inverse problem for the 3D equation of radiative transfer

Gassan S. Abdoulaev, Andreas Hielscher

Biomedical Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

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 language	English (US)
Title of host publication	Numerical Mathematics and Advanced Applications
Publisher	Springer
DOIs	https://doi.org/10.1007/978-88-470-2089-4_49
State	Published - 2003

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title = "Inverse problem for the 3D equation of radiative transfer",

abstract = "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.",

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AU - Abdoulaev, Gassan S.

AU - Hielscher, Andreas

PY - 2003

Y1 - 2003

N2 - 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.

AB - 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.

U2 - https://doi.org/10.1007/978-88-470-2089-4_49

DO - https://doi.org/10.1007/978-88-470-2089-4_49

M3 - Conference contribution

BT - Numerical Mathematics and Advanced Applications

PB - Springer

ER -

Inverse problem for the 3D equation of radiative transfer

Abstract

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