A scatter model for parallel and converging beam SPECT based on the Klein-Nishina formula

Zongjian Cao, E. C. Frey, B. M W Tsui

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

In this study, a scatter model is proposed for parallel-, fan-, and Cone Beam SPECT imaging. In this model, a photon is allowed to be scattered only once, and the probability of scatter for given angle and energy is computed by using the Klein-Nishina formula. The detector is assumed to have perfect energy resolution. The scatter counts are computed for every projection bin. From the scatter counts, the scatter line source response function and scatter-to-primary ratio (SPR) are obtained. They agree well with those from Monte Carlo (MC) simulation including only single scattering, but deviate from those from full MC simulation including both single and multiple scattering. The deviation depends on the source depth within the medium. For a source depth of 6 cm the difference of the scatter-to-primary ratio between the model and full MC simulation is less than 7% while for a 21.6 cm source depth, the difference goes up to 27% for parallel-beam geometry and 32% for Cone Beam geometry. Since scatter accounts for 20-40% of the total counts in most clinical studies, the scatter model yields a SPR accuracy that ranges from 3% to 12%. The scatter model provides an effective means to estimate the scatter response with reasonable accuracy, and can be used in developing scatter compensetion techniques in parallel and converging-beam SPECT.

Original languageEnglish (US)
Pages (from-to)1594-1600
Number of pages7
JournalIEEE Transactions on Nuclear Science
Volume41
Issue number4
DOIs
StatePublished - Jan 1 1994

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Cones
cones
Geometry
simulation
Multiple scattering
Bins
geometry
fans
scattering
Fans
Photons
projection
Scattering
Detectors
deviation
Imaging techniques
energy
detectors
photons
estimates

ASJC Scopus subject areas

  • Nuclear Energy and Engineering
  • Electrical and Electronic Engineering
  • Nuclear and High Energy Physics

Cite this

A scatter model for parallel and converging beam SPECT based on the Klein-Nishina formula. / Cao, Zongjian; Frey, E. C.; Tsui, B. M W.

In: IEEE Transactions on Nuclear Science, Vol. 41, No. 4, 01.01.1994, p. 1594-1600.

Research output: Contribution to journalArticle

Cao, Zongjian ; Frey, E. C. ; Tsui, B. M W. / A scatter model for parallel and converging beam SPECT based on the Klein-Nishina formula. In: IEEE Transactions on Nuclear Science. 1994 ; Vol. 41, No. 4. pp. 1594-1600.
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