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. |