Dept. of Radiol. Sci., California Univ., Irvine, CA.
IEEE Trans Med Imaging. 1994;13(1):110-21. doi: 10.1109/42.276149.
A new analytical three-dimensional cone beam reconstruction algorithm is presented for truncated spherical detection geometry. The basic idea of the proposed algorithm is the formation of spatially invariant 3D blurred back-projected volumetric image by the use of the weighted backprojection of cone beam projection data and subsequent 3D filtering using an acceptance angle dependent rho filter. The backprojection weighting function is calculated on the basis of each given geometrical condition, i.e. detection geometry or degree of truncation, position of cone beam apex, and backprojection point. The proposed algorithm is derived analytically and is computationally efficient. Performance of the algorithm is evaluated by the reconstruction of 3D volumetric images using simulated data from arbitrarily truncated spherical detector geometries.
提出了一种新的分析性三维锥形束重建算法，用于截断的球形探测几何。该算法的基本思想是通过使用锥形束投影数据的加权反向投影和随后使用与接受角相关的 ρ 滤波器进行三维滤波，形成空间不变的三维模糊反向投影体积图像。反向投影加权函数是根据每个给定的几何条件计算的，即探测几何或截断程度、锥形束顶点的位置和反向投影点的位置。该算法是通过解析推导得到的，计算效率高。通过使用任意截断球形探测器几何的模拟数据进行三维体积图像重建，评估了算法的性能。
