Accurate geometric and physical response modelling for statistical image reconstruction in high resolution PET

Erkan U. Mumcuoglu, Richard M. Leahy, Simon R Cherry, Ed Hoffman

Research output: Chapter in Book/Report/Conference proceedingConference contribution

85 Scopus citations

Abstract

Accurate modeling of the data formation and detection process in PET is essential for optimizing resolution. Here we develop a model in which the following factors are explicitly included: depth dependent geometric sensitivity, photon pair non-colinearity, attenuation, intrinsic detector sensitivity, non-uniform sinogram sampling, crystal penetration and inter-crystal scatter. Statistical reconstruction methods can include these modeling factors in the system matrix that represents the probability of detecting an emission from each image pixel at each detector-pair. We describe a method for computing these factors using a combination of calibration measurements, geometric modeling and Monte Carlo computation. By assuming that blurring effects and depth dependent sensitivities are separable, we are able to exploit rotational symmetries with respect to the sinogram. This results in substantial savings in both storage requirements and computational costs. Using phantom data we show that this system model can produce higher resolution near the center of the field of view, at a given SNR, than both simpler geometric models and reconstructions using filtered backprojection. We also show, using an off-centered phantom, that larger improvements in resolution occur towards the edge of the field of view due to the explicit modeling of crystal penetration effects.

Original languageEnglish (US)
Title of host publicationIEEE Nuclear Science Symposium & Medical Imaging Conference
Place of PublicationPiscataway, NJ, United States
PublisherIEEE
Pages1569-1573
Number of pages5
Volume3
StatePublished - 1996
EventProceedings of the 1996 IEEE Nuclear Science Symposium. Part 1 (of 3) - Anaheim, CA, USA
Duration: Nov 2 1996Nov 9 1996

Other

OtherProceedings of the 1996 IEEE Nuclear Science Symposium. Part 1 (of 3)
CityAnaheim, CA, USA
Period11/2/9611/9/96

ASJC Scopus subject areas

  • Engineering(all)

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  • Cite this

    Mumcuoglu, E. U., Leahy, R. M., Cherry, S. R., & Hoffman, E. (1996). Accurate geometric and physical response modelling for statistical image reconstruction in high resolution PET. In IEEE Nuclear Science Symposium & Medical Imaging Conference (Vol. 3, pp. 1569-1573). IEEE.