Optimal Nonlinear Line-of-Flight Estimation in Positron Emission Tomography

Alexander M. Bronstein, Michael M. Bronstein, Michael Zibulevsky, Yehoshua Y. Zeevi

Research output: Contribution to journalArticlepeer-review


The authors consider detection of high-energy photons in positron emission tomography using thick scintillation crystals. Parallax effect and multiple Compton interactions in such crystals significantly reduce the accuracy of conventional detection methods. In order to estimate the photon line of flight based on photomultiplier responses, the authors use asymptotically optimal nonlinear techniques, implemented by feed-forward and radial basis function neural networks. Incorporation of information about angles of incidence of photons significantly improves accuracy of estimation. The proposed estimators are fast enough to perform detection, using conventional computers. Monte Carlo simulation results show that their approach significantly outperforms the conventional Anger algorithm.

Original languageEnglish
Pages (from-to)421-426
Number of pages6
JournalIEEE Transactions on Nuclear Science
Issue number3
StatePublished - Jun 2003
Externally publishedYes


  • Artificial neural network
  • emission tomography
  • gamma camera
  • scintillation detector


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