Yang Haiquan, Li Meihua, Koizumi Kazuhito, Kudo Hiroyuki
Research and Development Department, Uni-Hite System Corporation, Shimotsuruma 505-1, Yamato, Kanagawa 242-0001, Japan.
Phys Med Biol. 2006 Mar 7;51(5):1157-72. doi: 10.1088/0031-9155/51/5/008. Epub 2006 Feb 8.
We propose an exact shift-invariant filtered backprojection (FBP) algorithm for inversion of cone beam (CB) data in the case where the source trajectory is a saddle. The algorithm allows for axial truncation of the cone beam data. The algorithm involves only one family of filtering lines on the detector plane, and it does not depend on the existence of pi-lines. The algorithm is derived from a general formula in Pack and Noo (2005 Inverse Problems 21 1105-20). We also give the steps to implement the algorithm for planar detector geometry and discuss how to select the parameter of the saddle and the size of the detector when the trajectory is a standard saddle. The algorithm is tested by simulation studies.
我们提出了一种精确的平移不变滤波反投影（FBP）算法，用于在源轨迹为鞍形的情况下对锥束（CB）数据进行反演。该算法允许对锥束数据进行轴向截断。该算法仅涉及探测器平面上的一族滤波线，并且不依赖于π线的存在。该算法源自Pack和Noo（2005年，《逆问题》21卷，1105 - 20页）中的一个通用公式。我们还给出了针对平面探测器几何结构实现该算法的步骤，并讨论了当轨迹为标准鞍形时如何选择鞍形的参数和探测器的尺寸。通过模拟研究对该算法进行了测试。
