Modified Grangeat algorithm as apply to a circular scan orbit
-
摘要: 为减少ICT(Industrial Computed Tomography)重建图像的伪影,研究了Grangeat精确重建算法的原理.基于平板探测器依次通过对投影数据沿行、列一阶偏微分,求Radon导以及两步反投影等步骤仿真实现了Grangeat算法.针对单圆轨道锥束扫描投影数据的不完备性,分析了Radon空间的数据缺失情况,提出了通过近邻插值、线性插值、二次三点插值和一元线性回归插值的方法对Radon空间缺失数据进行插值改进该算法的几种途径.计算机仿真结果证明了改进算法的正确性和可行性.Abstract: To compensate for artifacts in reconstructed images of industrial computed tomography (ICT), Grangeat type exact cone beam reconstruction algorithm was studied. Grangeat algorithm based on flat detector was implemented by the steps of computing first partial derivatives of cone-beam projection data along rows and lines respectively, first partial derivatives of Radon data, back-projection and so on. Due to the missed data of a circular scan orbit, the incomplete Radon space was analyzed. The nearest-neighbor interpolation, linear interpolation, 3-points quadratic interpolation and one-dimensional linear regression interpolation methods were used to estimate missed data respectively, and the effects of different methods on the image quality were examined. The compute simulation results prove the validity of proposed methods.
-
Key words:
- cone beam /
- computed tomography (CT) /
- exact reconstruction /
- Radon transform
-
[1] Feldkamp, Davis L A, Kress J. Practical cone-beam algorithm[J]. Journal of the Optical Society of America, 1984, 1(1):1612-619 [2] Grangeat P. Mathematical framework of cone beam 3D reconstruction via the first derivative of the Radon transform Louis A K,Natterer F. Mathematical Methods in Tomography. Herman GT: Springer Verlag, 1991:66-97 [3] Lee Seung Wook, Cho Gyuseong, Wang Ge. Artifacts associated with implementation of the Grangeat formula[J]．Med Phys, 2002, 29(12):2871-2880 [4] 曾凯,陈志强,张丽,等.圆轨道锥束重建精度与锥角关系的研究[J].CT理论与应用研究, 2003,12(3):9-16 Zeng Kai, Chen Zhiqiang, Zhang Li, et al. The study of relationship between circular orbit cone beam reconstruction error and cone angle[J]. CT Theory and Applications, 2003,12(3):9-16(in Chinese) [5] Chen Zhiqiang, Li Liang, Kang Kejun, et al. New developments of exact cone-beam CT reconstruction algorithms[J]. CT Theory and Applications, 2005,14(3):65-70 [6] Marr R B, Chen C N, lauterbur P C．On two approaches to 3D reconstruction in NMR zeugmatography Natterer F. Mathematical Aspects of Computerized Tomography. Herman GT: Springer Verlag, 1981:225-240 -
点击查看大图
计量
- 文章访问数: 2758
- HTML全文浏览量: 166
- PDF下载量: 1173
- 被引次数: 0
下载:
