摘要
本文针对CT系统参数标定和图像重建等问题,利用椭圆方程及弦长公式等建立了根据标定模板计算接受信息的公式.并以接收信息的误差平方和为目标函数,结合相关参数的约束条件,建立了非线性最优化模型,利用迭代搜索的方法结合MATLAB优化工具箱完成了CT系统参数标定.通过代数重建算法(ART)以及具有一定去噪能力的全变差极小化算法(TV)等完成了图像重建,并且对标定模板参数的精度和稳定性进行了分析,最后在重建模型和相关结果基础上建立了新的标定模板.结果表明,新模板能改善标定精度和稳定性.
In this paper,for the calibration of CT system parameters and image reconstruction,the equations for calculating the acceptance information based on the calibration template were established by using elliptic equations and chord length formulas. Taking into consideration the sum of the error squares of the received information as the objective function and the constraints of the relevant parameters,a non-linear optimization model was established,and the parameters of the CT system were calibrated using the iterative search method combined with the MATLAB optimization toolbox. The algebraic reconstruction algorithm（ ART） and the total variation minimization algorithm（ TV） with certain denoising capability were used to accomplish image reconstruction,and the accuracy and stability of the calibration template parameters are analyzed. Finally,a new calibration template was achieved on the basis of the reconstruction model and the relative results. The results showed that the new template could improve the calibration accuracy and stability.
作者
周彬
许珊珊
谭兵
ZOU Bin;XU Shan-shan;TAN Bing(College of Science,Southwest Petroleum University,Chengdu 610500,China)
出处
《洛阳师范学院学报》
2018年第5期7-14,18,共9页
Journal of Luoyang Normal University
基金
西南石油大学第17期课外开放实验项目(KSP17237)
关键词
CT成像
平行束
图像重建
代数重建算法
全变差最小化
CT imaging
parallel beam
image reconstruction
algebraic reconstruction algorithm
total variation minimization
