Reconstruction of a combination of the absorption and scattering coefficients with a discrete ordinates method consistent with the source–detector system

Abstract

In the present work a combination of the absorption and scattering coefficients in heterogeneous two-dimensional media is estimated using the source–detector methodology and a discrete ordinates method whose directions of radiation propagation are taken in a way that is consistent with the source–detector system for parallel beams of radiation.

The domain partition, the solution of the direct problem, and the source–detector methodology are described. Test case results are also presented.

Keywords:

• Computerized Tomography
• Natural base
• Parallel beams
• Inverse radiative transfer
• q-ART algorithm

Acknowledgements

The authors acknowledge the financial support provided by CNPq – Conselho Nacional de Desenvolvimento Científico e Tecnológico, FAPERJ – Fundação Carlos Chagas Filho de Amparo à Pesquisa do Estado do Rio de Janeiro, and CAPES – Comissão de Aperfeiçoamento de Pessoal de Nível Superior.

Notes

^†E-mail: [email protected]

*E-mail: [email protected]

*E-mail: [email protected]

Additional information

Notes on contributors

Antônio J. Silva Neto

^†E-mail: [email protected]

*E-mail: [email protected]