Optimal calibration of PET crystal position maps using Gaussian mixture models

Kelly A. Stonger, Michael T. Johnson

Research output: Contribution to journalArticlepeer-review

24 Scopus citations


A method is developed for estimating optimal PET gamma-ray detector crystal position maps, for arbitrary crystal configurations, based on a binomial distribution model for scintillation photon arrival. The approach is based on maximum likelihood estimation of Gaussian mixture model parameters using crystal position histogram data, with determination of the position map taken from the posterior probability boundaries between mixtures. This leads to minimum probability of error crystal identification under the assumed model.

Original languageEnglish
Pages (from-to)85-90
Number of pages6
JournalIEEE Transactions on Nuclear Science
Issue number1 I
StatePublished - Feb 2004


  • Crystal position map
  • Gaussian mixture model
  • Maximum liklihood estimation
  • Positron emission tomography (PET)

ASJC Scopus subject areas

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


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