ISBI 2006: IEEE 2006 International Symposium on Biomedical Imaging, April 6-9, 2006, Crystal Gateway Marriott, Arlington, Virginia, U.S.A.

Technical Program

Paper Detail

Paper:FR-AM-OS1.5
Session:PET and SPECT Image Reconstruction
Time:Friday, April 7, 11:10 - 11:30
Presentation: Oral
Title: Statistical Modeling and Reconstruction of Randoms Pre-Corrected PET Data
Authors: Quanzheng Li; University of Southern California 
 Richard M. Leahy; University of Southern California 
Abstract: Randoms pre-corrected PET data is formed as the difference of two Poisson random variables. Its exact probability mass function (PMF) is not suitable for use in likelihood-based iterative image reconstruction because of an innite summation in the expression. The shifted Poisson model is a tractable approximation to this PMF but requires that negative values are discarded. We analyze the properties of the exact PMF and propose a new simple but accurate approximation that includes negative valued data. We investigate the properties of this approximation and demonstrate its application to penalized maximum likelihood image reconstruction.



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