一种新的计算机层析方法研究  

Research on a New Computer Tomography Method

作　　者：罗智中[1] 郭厚锟[1] 

机构地区：[1]华东交通大学机电学院,南昌330013

出　　处：《仪器仪表学报》2005年第10期1015-1018,共4页Chinese Journal of Scientific Instrument

摘　　要：提出了基于有限元的层析图像重建技术,该方法使用单元顶点上的目标值计算信号投影,详细推导了信号衰减也即目标物理量在检测线上的投影与单元节点值的关系,同时推导了单元刚度阵的计算公式,并提出了整体刚度阵、方程右边常向量的计算方法。最后还使用此方法对一仿真检测结果进行了重建分析,从分析结果来看,因此方法得到的系数矩阵对称正定,可以用ICCG等大型稀疏方程组求解方法求解,图像重建过程较经典ART方法效率更高,精度也更高。A new computer tomography method based on finite element is presented, it utilizes value of element node to achieve projection value along scanning line. The equation denoting relation between projection value and node value is induced. It also induces equation of element stiffness matrix, and brings forward method of computing whole stiffness matrix and constant vector on the right of equation. In the end, an emulating detecting progress is analyzed by this method, which proved the method is more effective and has more precise resolution than classical ART method because coefficient matrix achieved by this method is symmetry and positive, which make it possible to use effective method such as ICCG to resolving large sparse linear equation.

关 键 词：计算机层析 图像重建 有限元 

分 类 号：TP39[自动化与计算机技术—计算机应用技术]