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Conference paper

A Spectral Geometrical Model for Compton Scatter Tomography Based on the SSS Approximation

In Proceedings of the the 4th International Conference on Image Formation in X-ray Computed Tomography — 2016, pp. 577-580

By Kazantsev, Ivan G.1; Olsen, Ulrik Lund2,3; Poulsen, Henning Friis2,3; Hansen, Per Christian4,5

From

RAS - Institute of Computational Mathematics and Mathematical Geophysics1

Department of Physics, Technical University of Denmark2

Neutrons and X-rays for Materials Physics, Department of Physics, Technical University of Denmark3

Department of Applied Mathematics and Computer Science, Technical University of Denmark4

Scientific Computing, Department of Applied Mathematics and Computer Science, Technical University of Denmark5

The forward model of single scatter in the Positron Emission Tomography for a detector system possessing an excellent spectral resolution under idealized geometrical assumptions is investigated. This model has the form of integral equations describing a flux of photons emanating from the same annihilation event and undergoing a single scattering at a certain angle.

The equations for single scatter calculation are derived using the Single Scatter Simulation approximation. We show that the three-dimensional slice-by-slice filtered backprojection algorithm is applicable for scatter data inversion provided some assumptions on the attenuation map are justified.

Language: English
Year: 2016
Pages: 577-580
Proceedings: 4th International Conference on Image Formation in X-Ray Computed Tomography
Types: Conference paper
ORCIDs: Olsen, Ulrik Lund , Poulsen, Henning Friis and Hansen, Per Christian

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