Affiliations: Lauterbur Center for Biomedical Imaging Research,
Institute of Biomedical and Health Engineering, Shenzhen Institutes of Advanced
Technology, Chinese Academy of Sciences, Shenzhen, Guangdong, China | Key Lab of Health Informatics of Chinese Academy of
Sciences, Shenzhen, Guangdong, China | Tianjin University, Tianjin, China
Note: [] Corresponding author: Dan Xia, Key Lab of Health Informatics of
Chinese Academy of Sciences, Shenzhen, 518055, Guangdong, China. E-mail:
dan.xia@siat.ac.cn
Abstract: A mathematical derivation was conducted to illustrate that exact 3D
image reconstruction could be achieved for z-homogeneous phantoms from data
acquired with 2D general trajectories using the back projection filtration
(BPF) algorithm. The conclusion was verified by computer simulation and
experimental result with a circular scanning trajectory. Furthermore, the
effect of the non-uniform degree along z-axis of the phantoms on the accuracy
of the 3D reconstruction by BPF algorithm was investigated by numerical
simulation with a gradual-phantom and a disk-phantom. The preliminary result
showed that the performance of BPF algorithm improved with the z-axis
homogeneity of the scanned object.
