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.
|Title of host publication||Proceedings of the The 4th International Conference on Image Formation in X-Ray Computed Tomography|
|Publication status||Published - 2016|
|Event||4th International Conference on Image Formation in X-Ray Computed Tomography - Bamberg, Germany|
Duration: 18 Jul 2016 → 22 Jul 2016
Conference number: 4
|Conference||4th International Conference on Image Formation in X-Ray Computed Tomography|
|Period||18/07/2016 → 22/07/2016|