Inverse problem for the 3D equation of radiative transfer

G. S. Abdoulaev and A. H. Hielscher
Additional contact information
G. S. Abdoulaev: Columbia University, Department of Biomedical Engineering
A. H. Hielscher: Columbia University, Department of Biomedical Engineering

A chapter in Numerical Mathematics and Advanced Applications, 2003, pp 525-533 from Springer

Abstract: Summary 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.

Keywords: Inverse Problem; Radiative Transfer; Forward Model; Mesh Node; Reconstruction Scheme (search for similar items in EconPapers)
Date: 2003
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-88-470-2089-4_49

Ordering information: This item can be ordered from
http://www.springer.com/9788847020894

DOI: 10.1007/978-88-470-2089-4_49

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().