基于噪声和残缺投影图像的重建算法研究

On The Reconstruction Algorithm of Projection Image Based on the Noise and Missing Data

滤波反投影法和迭代法是SR-CT重建算法中的两大类算法,松弛迭代法是迭代法中的一种;本文主要研究滤波反投影方法和松弛迭代法。为了研究两种方法的影响因素,讨论了滤波反投影法中滤波函数的选取,分析了松弛迭代法中重要参数,如松弛因子、迭代次数对重建效果的影响,给出了重建效果和这些参数的影响关系;对比了两种方法在处理噪声和残缺投影数据中的重建效果,并将松弛迭代法应用于实验结果处理中。

Filter back-projection algorithm and iteration algorithm are two kinds of arithmetic in synchrotron radiation computed-tomography technology reconstruction. Relaxation iteration algorithm is one of the iteration methods. The filter back-projection algorthm and the relaxation iteration algorthm are mainly studied in this paper. For understanding the influence factor of above two kinds of algorthm, the selection of filter function in filter back-projection algorthm, the influence of key factor in relaxation iteration algorithm, such as relaxing factor and iteration times, on the reconstruction effect were studied, and their relation is presented in this paper. The reconstruction effect of two methods was compared, and the relaxation iteration algorithm was already used for the experimental data treatment.