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

IEEE Transactions on Medical Imaging
Quanzheng LiRichard M Leahy

Abstract

The Fisher information matrix (FIM) plays a key role in the analysis and applications of statistical image reconstruction 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. 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 image resolution in low count situations.

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Citations

Jan 18, 2007·Physics in Medicine and Biology·Belma DogdasRichard M Leahy
Dec 7, 2013·Theranostics·Joyita DuttaQuanzheng Li
Nov 28, 2012·Seminars in Nuclear Medicine·Bing BaiRichard M Leahy
Apr 1, 2007·PET Clinics·Olivier RoussetHabib Zaidi
Aug 18, 2012·IEEE Transactions on Medical Imaging·Ahmadreza RezaeiJohan Nuyts
Dec 16, 2006·IEEE Transactions on Medical Imaging·Quanzheng Li, Richard M Leahy
Mar 13, 2008·IEEE Transactions on Medical Imaging·Sangtae Ahn, Richard M Leahy
May 24, 2007·IEEE Transactions on Medical Imaging·Sanghee ChoRichard M Leahy
Feb 1, 2009·IEEE Transactions on Nuclear Science·Jian ZhouLimin Luo
Feb 4, 2010·IEEE Transactions on Nuclear Science·Lin FuJinyi Qi
Mar 11, 2009·IEEE Transactions on Medical Imaging·Hugo R Shi, Jeffrey A Fessler
Feb 4, 2009·IEEE Transactions on Medical Imaging·Zheng LiRichard M Leahy
Jan 10, 2006·IEEE Transactions on Medical Imaging·Evren Asma, Richard M Leahy
Apr 13, 2017·Physics in Medicine and Biology·Mengxi ZhangJinyi Qi
Mar 3, 2020·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·Eric Clarkson, Meredith Kupinski
Jun 22, 2013·Physics in Medicine and Biology·J FormaU Ruotsalainen

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