基于卷积反投影的CT系统参数标定和成像模型  

CT System Parameters Calibration and Imaging Model Based on Convolution Back-Projection

作　　者：王誉儒 杨玉聪 官庄 王志勇[2] WANG Yuru 1,YANG Yucong 1,GUAN Zhuang 1,WANG Zhiyong 2(1.Yingcai Honors College,University of Electronic Science and Technology of China,Chengdu 611731,China;2.School of Mathematical Science,University of Electronic Science and Technology of China,Chengdu 611731,China)

机构地区：[1]电子科技大学英才实验学院,四川成都611731 [2]电子科技大学数学科学学院,四川成都611731

出　　处：《实验科学与技术》2018年第5期11-15,共5页Experiment Science and Technology

基　　金：国家自然科学基金(11301058);中央高校基本业务费(ZYGX2015J103)

摘　　要：该文考察了电子计算机断层扫描(CT)系统的参数标定和未知样品的成像问题。基于标定模板的接收信息,建立了多个优化模型,并求解得到了模板的旋转角度、探测器间距和旋转中心,从而解决了CT系统的参数标定问题;采用傅立叶变换和卷积反投影法建立了介质吸收率重建模型,根据CT系统对X射线接收信息的数值,并结合已标定的参数,采用MATLAB编程求解,得到了未知介质的吸收率、形状和位置,解决了CT系统的参数标定和成像问题。This article investigated the parametric calibration of computed tomography （CT ）systems and the imaging of unknown samples.Based on the received information of the calibration template,a number of optimization models were established,and the rotation angle,distance between detectors,and rotation center of the template were solved.The parameter calibration of the CT system was solved.The Fourier transform and filtered back projection method were used to establish the calibration parameters.The medium absorption rate reconstruction model was based on the value of the X-ray receiving information of the CT system,combined with the calibrated parameters,and solved by MATLAB programming.The absorption rate,shape and position of the unknown medium were obtained,and the parameter calibration and imaging of the CT system were solved.

关 键 词：CT系统 参数标定 卷积反投影 优化模型 傅立叶变换 

分 类 号：O29[理学—应用数学]