由投影重建图像的对称网格迭代算法

基金项目:

国家自然科学基金(60572103)。

详细信息

Symmetric Mesh-Iterative Algorithms for Image Reconstruction

1. Research Division of Applied Mathematics, Beijing Information Technology Institute, Beijing 100101, China;
2. School of Mathematical Sciences, Graduate University of Chinese Academy of Sciences, Beijing 100039, China;
3. Department of Computer Science, Inner Mongolia University of Technology, Huhhot 010051, China

摘要: 本文对于工业CT检测中常用的代数迭代重建算法提出了改进,利用投影射线之间存在的几何对称结构,提出了图像重建的对称网格迭代算法(简写为SM—IRT)。该算法简化了投影系数矩阵的计算,调整了迭代算法逐线校正的迭代顺序。对模拟数据和工业CT实测数据进行了重建图像的数值实验,结果表明:与常规算法比较,本文提出的新算法重建速度快,成像精度高。
- 图像重建 /
- 对称网格 /
- 迭代算法 /
- 变换群
Abstract: This paper provides the improved iterative algorithms as commonly applied in Industrial Computerized Tomography (ICT).The symmetric mesh-iterative reconstruction technique (SM-IRT) is introduced based on the existing symmetric structure of projection lines so as to better solve the image reconstruction problems.This method proposes simplified computation of projection matrix and effectively adjusts the successive line iterative sequences.The experimental image reconstruction utilizing both simulated data and ICT experimental data is undertaken.The results show that the image reconstruction adopting the presented algorithms is much faster and takes on better precision than other conventional algorithms.
- Image Reconstruction /
- Symmetric Mesh /
- Iterative Algorithm /
- Transformation Group