Accurate estimation of the Fisher information matrix for the PET image reconstruction problem

Quanzheng Li, Evren Asma, Jinyi Qi, James R. Bading, Richard M. Leahy

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

Abstract

The Fisher Information Matrix (FIM) plays a key role in the analysis and applications of statistical image recon-struction methods based on Poisson data models. The elements of the FIM are a function of the reciprocal of the mean values of sinogram elements. Conventional plug-in FIM estimation methods do not work well at low counts, where the FIM estimate is highly sensitive to the reciprocal mean estimates at individual detector pairs. A generalized error look-up table (GELT) method is developed to estimate the reciprocal of the mean of the sinogram data, which achieves a bias of less than 2% for mean sinogram values greater than 0.7. This approach is also extended to randoms precorrected data. Based on these techniques, an accurate FIM estimate is obtained for both Poisson and randoms precorrected data. As an application, the new GELT method is used to improve resolution uniformity and achieve near-uniform reconstructed image resolution in both high and low count situations.

Original languageEnglish (US)
Title of host publicationIEEE Nuclear Science Symposium Conference Record
EditorsS.D. Metzler
Pages2012-2016
Number of pages5
Volume3
Publication statusPublished - 2003
Event2003 IEEE Nuclear Science Symposium Conference Record - Nuclear Science Symposium, Medical Imaging Conference - Portland, OR, United States
Duration: Oct 19 2003Oct 25 2003

Other

Other2003 IEEE Nuclear Science Symposium Conference Record - Nuclear Science Symposium, Medical Imaging Conference
CountryUnited States
CityPortland, OR
Period10/19/0310/25/03

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Keywords

  • Fisher Information Matrix
  • Hyperparameters
  • Uniform Resolution

ASJC Scopus subject areas

  • Computer Vision and Pattern Recognition
  • Industrial and Manufacturing Engineering

Cite this

Li, Q., Asma, E., Qi, J., Bading, J. R., & Leahy, R. M. (2003). Accurate estimation of the Fisher information matrix for the PET image reconstruction problem. In S. D. Metzler (Ed.), IEEE Nuclear Science Symposium Conference Record (Vol. 3, pp. 2012-2016). [M5-3]