Lauterbur Center for Biomedical Imaging Research, Institute of Biomedical and Health Engineering, Shenzhen Institutes of Advanced Technology, Chinese Academy of Sciences, Guangdong, China.
J Xray Sci Technol. 2012;20(3):351-62. doi: 10.3233/XST-2012-0343.
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.
进行了数学推导，以说明使用反向投影滤波（BPF）算法从二维一般轨迹获取的数据可以实现 z 均匀体模的精确三维图像重建。该结论通过圆形扫描轨迹的计算机模拟和实验结果得到了验证。此外，通过数值模拟渐变体模和圆盘体模，研究了体模沿 z 轴的不均匀程度对 BPF 算法三维重建精度的影响。初步结果表明，BPF 算法的性能随扫描物体 z 轴均匀性的提高而提高。
