title: Robust framework for PET image reconstruction incorporating system and measurement uncertainties.
abstract: In Positron Emission Tomography (PET), an optimal estimate of the radioactivity concentration is obtained from the measured emission data under certain criteria. So far, all the well-known statistical reconstruction algorithms require exactly known system probability matrix a priori, and the quality of such system model largely determines the quality of the reconstructed images. In this paper, we propose an algorithm for PET image reconstruction for the real world case where the PET system model is subject to uncertainties. The method counts PET reconstruction as a regularization problem and the image estimation is achieved by means of an uncertainty weighted least squares framework. The performance of our work is evaluated with the Shepp-Logan simulated and real phantom data, which demonstrates significant improvements in image quality over the least squares reconstruction efforts.
authors.affiliation: State Key Laboratory of Modern Optical Instrumentation, Department of Optical Engineering, Zhejiang University, Hangzhou, China.
authors.forename: Huafeng
authors.initials: H
authors.lastname: Liu
authors.forename: Song
authors.initials: S
authors.lastname: Wang
authors.forename: Fei
authors.initials: F
authors.lastname: Gao
authors.forename: Yi
authors.initials: Y
authors.lastname: Tian
authors.forename: Wufan
authors.initials: W
authors.lastname: Chen
authors.forename: Zhenghui
authors.initials: Z
authors.lastname: Hu
authors.forename: Pengcheng
authors.initials: P
authors.lastname: Shi
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D007091:Image Processing, Computer-Assisted / Q000379:methods*; D016018:Least-Squares Analysis; D008962:Models, Theoretical; D049268:Positron-Emission Tomography / Q000379:methods*