圆轨道锥束重建精度与锥角关系的研究

The Study of Relationship between Circular Orbit Cone Beam Reconstruction Error and Cone Angle

目的: 深入研究Radon空间的数据缺失与锥角的关系改进算法。方法: 相对于二维CT重建,锥束重建有着诸多优势,因此目前得到越来越广泛的应用。圆轨道锥束重建,因为算法上的简洁性以及工程实现的可行性,成为了锥束重建比较乐于采用的形式。但是由于圆轨道几何结构的限制,使其不能够得到完备的锥束重建数据,只有在锥角较小的情况下才能得到,因此深入研究Radon空间的数据缺失与锥角的关系以改进算法。结果:通过一定的近似得到了一个它们之间比较简单的关系。结论:基于这一关系提出了改进算法的一些途径。

Objective The Study of Relationship between Circular Orbit Cone Beam Reconstruction Error and Cone Angle. Method: Compared with 2-D CT reconstruction, Cone-Beam reconstruction has several advantages, and now it has been implemented more and more widely. Circular orbit based Cone-Beam reconstruction algorithms, which are mathematically simpler and more feasible than other algorithms, are more favorable. However, because of the limitation by circular orbit, we cant obtain all the data in Radon Space which means that the result becomes better with the cone angle decreases. So it is important to study the relationship between the cone angle and the reconstruct quality further. Results: In this paper we obtain a relationship between the error and the cone angle with some approximation. Conclusion: Then we propose some ways to improve circular orbit based Cone-Beam algorithms.