基于衰减 SPECT 投影数据的重建研究

摘要

In this paper, we present a kind of filtered backprojection (FBP) algorithm for the attenuated fan-beam projection based on the Novikov’s inversion formula. Our result does not need to take real part in the final formula as it did without using Euler’s formula as found in our previous study, which may greatly simplify the data processing and calculating in the further work. Using coordinate transformation, the algorithm is able to reconstruct image from data for parallel-beam and fan-beam geometry, respectively.%基于 Novikov 反演公式针对扇形束投影得到了一种过滤背投影(FBP)算法，利用欧拉公式预先完成了取实步骤，使结果中不再需要取实，大大简化了后期的数据处理计算。同时采用坐标变换，使该算法能分别从平行束和扇形束几何特征下获取投影数据中重建图像。