Geometric model of single scatter in PET

Author

Kazantsev, Ivan G. ; Matej, Samuel ; Lewitt, Robert M.

Author_Institution

Dept. of Comput. Sci., City Univ. of New York, NY

Volume

5

fYear

2006

fDate

Oct. 29 2006-Nov. 1 2006

Firstpage

2740

Lastpage

2743

Abstract

We present a mathematical model of single scatter in PET for a detector system possessing excellent energy resolution. Derivation of the model exploits assumptions widely used in PET and SPECT modalities for unscattered photons forward modeling. Integral equations describing a flux of photons emanating from the same annihilation event and undergoing a single scattering with a certain angle are derived in both 2D and 3D cases. Preliminary results of numerical experiments are presented.

Keywords

integral equations; light scattering; positron emission tomography; radiation detection; single photon emission computed tomography; PET single scatter; SPECT; detector system; energy resolution; geometric model; integral equations; photon annihilation; unscattered photons forward modeling; Attenuation; Detectors; Electromagnetic scattering; Energy resolution; Integral equations; Mathematical model; Particle scattering; Positron emission tomography; Single photon emission computed tomography; Solid modeling;

fLanguage

English

Publisher

ieee

Conference_Titel

Nuclear Science Symposium Conference Record, 2006. IEEE

Conference_Location

San Diego, CA

ISSN

1095-7863

Print_ISBN

1-4244-0560-2

Electronic_ISBN

1095-7863

Type

conf

DOI

10.1109/NSSMIC.2006.356446

Filename

4179603