关于CT系统参数的标定及成像的数学模型

A Mathematical Model of the Parameter Calibration and Imaging of CT System

摘要: CT系统在现代医学和工业中具有广泛的应用。本文主要研究一种典型的二维CT系统的参数标定和成像信息。首先运用三次样条插值的方法计算出系统探测器相邻两单元之间的距离以及该系统的旋转中心。其次分析出X射线穿过均匀介质后探测器上得到的原数据与经过增益等处理后得到的接收信息的关系。最后设计出以正方形托盘的中心为中心，三个半径成比例的圆呈正三角形排列的新模板。

Abstract: CT systems have a wide range of applications in modern medicine and industry. This paper mainly studies parameter calibration and imaging information of a typical two-dimensional CT system. Firstly, the cubic spline interpolation method is used to calculate the distance between two adjacent units of the system detector and the center of rotation of the system. Secondly, the relationship between the original data obtained after the X-rays pass through the homogeneous medium and the received information obtained after processing such as gain is analyzed. Finally, a new template is designed with the center of the square tray as the center, and the three radius-proportioned circles are arranged in a regular triangle.