Open AccessRobust Framework for PET Image Reconstruction Incorporating System and Measurement Uncertainties
Author(s) -
Huafeng Liu,
Song Wang,
Fei Gao,
Yuan Tian,
Wufan Chen,
Zhenghui Hu,
Peng Shi
Publication year - 2012
Publication title -
plos one
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.99
H-Index - 332
ISSN - 1932-6203
DOI - 10.1371/journal.pone.0032224
Subject(s) - iterative reconstruction , imaging phantom , positron emission tomography , regularization (linguistics) , a priori and a posteriori , image quality , computer science , algorithm , artificial intelligence , least squares function approximation , image (mathematics) , mathematical optimization , computer vision , mathematics , statistics , nuclear medicine , medicine , philosophy , epistemology , estimator
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.