摘要
以2017年全国大学生数学建模竞赛A题为背景,利用正弦函数曲线拟合标定CT系统的参数,将各组探测器接收到的衰减后的X射线能量转化为物体的实际密度分布信息,利用滤波反投影成像技术重构CT图像。首先,分析得到中心对称图形的点旋转呈简谐运动,可得图形中心与旋转中心的距离,进而得到旋转中心的坐标;然后,建立滤波反投影成像模型,由radon变换的理论得到投影成像图形及各点的吸收率。
In the background of the 2017＇ s CUMCM（A）, we determine the parameters of CT system calibration by using sine curve fitting method, transforming the attenuated X-ray energy received by the detectors into the density distribution of the objects and using filtered back projection imaging technique to reconstruct the CT image.Firstly, we learn that the rotation center of central symmetry is a simple harmonic motion, and the graphics center and the distance from the center of rotation are obtained. Then, we build the model of filtered back projection imaging technique, and the projection image and absorption rate of each point are obtained based on the mathematical theory of Radon transform.
作者
王奔
陈娅昵
王吉能
李韶伟
WANG Ben;CHEN Ya＇ni;WANG Jineng;LI Shaowei(School of Mathematics and Information Engineering,Taizhou University,Linhai 317000,Zhejiang,China)
出处
《台州学院学报》
2018年第3期15-21,共7页
Journal of Taizhou University
关键词
CT系统
正弦曲线拟合
滤波
反投影成像
CT system
sine curve fitting
wave filtering
back projection imaging
