基于FBP算法实现CT图像重建及模板优化  

Reconstruction of CT image and optimization of template by using FBP algorithm

作　　者：刘澜 夏清 徐仲行 王会兰[4] Zhang Honglong Liu Lan;Xia Qing;Xu Zhonghang;Wang Huilan;Zhang Honglong(School of computing,University of South China,Hengyang,Hunan 421001,China;Civil College,University of South China;Institute of nuclear science and technology,University of South China;Mathematics and Physics,University of South China)

机构地区：[1]南华大学计算机学院,湖南衡阳421001 [2]南华大学土木工程学院 [3]南华大学核科学技术学院 [4]南华大学数理学院

出　　处：《计算机时代》2019年第8期57-61,64,共6页Computer Era

摘　　要：对介质进行断层成像重建以及CT系统参数标定问题的进行研究。分析接收信息与射线穿过介质的厚度的关系式。根据模板几何形状的和接收信息,求解探测器单元间距离;在托盘中心建立直角坐标系,计算CT系统旋转中心位置;推导介质厚度与X射线方向角关系式,求得初始X射线与x正半轴夹角。采用FBP算法重建未知介质的截面图像,分析不同滤波以及稀疏角度下重建图像质量。对参数标定的稳定性和精度进行分析,对现有模板进行优化。The issues on the parameter determination of CT system and the reconstruction of fault imaging are studied. Analyze the relationship between receiving information and the thickness of the medium the ray pass through. According to the receiving and geometric information of the template, the distance between the detector cells is obtained. Set up rectangular coordinate system in the center of pallet to calculate the center position of the CT system;the angle between initial X- ray and x- axis are obtained by deducing the expression between the thickness of the medium and the direction of the X-ray. FBP algorithm is used to reconstruct the cross section image of unknown medium, analyze the quality of the reconstructed image, and to analyze the precision and stability of parameter calibration and design a new template optimized.

关 键 词：CT系统 FBP算法 中心切面定理 模板优化 

分 类 号：O242.1[理学—计算数学]