PMID: 15248569Jul 14, 2004Paper

An accelerated convergent ordered subsets algorithm for emission tomography

Physics in Medicine and Biology
Ing-Tsung HsiaoGene Gindi

Abstract

We propose an algorithm, E-COSEM (enhanced complete-data ordered subsets expectation-maximization), for fast maximum likelihood (ML) reconstruction in emission tomography. E-COSEM is founded on an incremental EM approach. Unlike the familiar OSEM (ordered subsets EM) algorithm which is not convergent, we show that E-COSEM converges to the ML solution. Alternatives to the OSEM include RAMLA, and for the related maximum a posteriori (MAP) problem, the BSREM and OS-SPS algorithms. These are fast and convergent, but require ajudicious choice of a user-specified relaxation schedule. E-COSEM itself uses a sequence of iteration-dependent parameters (very roughly akin to relaxation parameters) to control a tradeoff between a greedy, fast but non-convergent update and a slower but convergent update. These parameters are computed automatically at each iteration and require no user specification. For the ML case, our simulations show that E-COSEM is nearly as fast as RAMLA.

References

May 24, 2001·IEEE Transactions on Medical Imaging·A R de Pierro, M E Beleza Yamagishi
Jul 9, 2003·IEEE Transactions on Medical Imaging·Ing-Tsung HsiaoGene Gindi
Jul 9, 2003·IEEE Transactions on Medical Imaging·Sangtae Ahn, Jeffrey A Fessler
Jan 1, 1996·IEEE Transactions on Medical Imaging·J Browne, A B de Pierro
Jan 1, 1994·IEEE Transactions on Medical Imaging·H M Hudson, R S Larkin

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Citations

Jun 27, 2009·Physics in Medicine and Biology·Lili Zhou, Gene Gindi
Apr 1, 2007·PET Clinics·Andrew J Reader, Habib Zaidi
Sep 3, 2013·IEEE Transactions on Medical Imaging·Pieter E B VaissierFreek J Beekman
Jun 8, 2013·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Van-Giang Nguyen, Soo-Jin Lee
Nov 8, 2013·IEEE Journal of Selected Topics in Signal Processing·Charles M Laymon, James E Bowsher
Dec 20, 2008·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Colas Schretter
Mar 10, 2006·IEEE Transactions on Medical Imaging·Sangtae AhnAlfred O Hero
Jun 7, 2016·Computer Methods and Programs in Biomedicine·Van-Giang Nguyen, Soo-Jin Lee
Dec 21, 2007·Nuclear Instruments & Methods in Physics Research. Section A, Accelerators, Spectrometers, Detectors and Associated Equipment·Ing-Tsung HsiaoGene Gindi
Jul 25, 2006·Physics in Medicine and Biology·Jinyi Qi, Richard M Leahy
Jan 9, 2010·Physics in Medicine and Biology·Ing-Tsung Hsiao, Hsuan-Ming Huang
Apr 12, 2011·Physics in Medicine and Biology·Van-Giang NguyenMi No Lee
Feb 13, 2015·Physics in Medicine and Biology·Kyungsang KimJong Chul Ye
Feb 16, 2021·Physics in Medicine and Biology·V-V WettenhoviV Kolehmainen

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