Journal article
A spectral geometric model for Compton single scatter in PET based on the single scatter simulation approximation: Paper
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
We investigate the idealized mathematical model of single scatter in PET for a detector system possessing excellent energy resolution. The model has the form of integral transforms estimating the distribution of photons undergoing a single Compton scattering with a certain angle. The total single scatter is interpreted as the volume integral over scatter points that constitute a rotation body with a football shape, while single scattering with a certain angle is evaluated as the surface integral over the boundary of the rotation body.
The equations for total and sample single scatter calculations are derived using a single scatter simulation approximation. We show that the three-dimensional slice-by-slice filtered backprojection algorithm is applicable for scatter data inversion provided that the attenuation map is assumed to be constant.
The results of the numerical experiments are presented.
| Language: | English |
|---|---|
| Year: | 2018 |
| Pages: | 024002 |
| ISSN: | 13616420 and 02665611 |
| Types: | Journal article |
| DOI: | 10.1088/1361-6420/aaa05d |
| ORCIDs: | Olsen, Ulrik Lund , Poulsen, Henning Friis , Hansen, Per Christian and 0000-0002-8479-7349 |
