摘要
该文利用X射线在介质中的衰减规律以及电子计算机断层扫描(CT)图像重建的相关知识,建立了CT参数标定的单目标拟合优化模型以及CT成像的滤波反投影图像重建模型。首先结合X射线在介质中的衰减规律以及Radon变换的相关理论,基于最小二乘原理建立单目标拟合优化模型。然后利用遗传算法对旋转中心点以及探测单元间距进行分组优化多次求解,求解结果基本收敛于同一数值。之后在标定的CT系统参数下,结合CT图像重建相关知识,运用傅里叶变换以及傅里叶切片定理,建立CT图像的滤波反投影图像重建模型。基于探测器单元的接收信息,求解图像重建模型得到正方形托盘上各个位置的吸收率信息,并构建介质在托盘上的位置和形状。最后通过对原数据信息进行图像重建并对比,验证了模型的可行性。
In this paper,the single-objective fitting optimization model of CT parameter calibration and the filtered back-projection image reconstruction model of CT imagining are established by using the attenuation law of X-ray in the medium and the related knowledge of CT image reconstruction.Firstly,based on the attenuation law of attenuation of X-rays in the medium and related theory Radon transform,a single-objective optimization model is established based on the principle of least squares.Secondly,The genetic algorithm is used to solve the grouping of the rotation center point and the detection unit spacing multiple times,and the solution results basically converges to the same value.Then,under the calibrated CT system theorem,the filtered back project image reconstruction model of CT image is established.Based on the received information of the detector unit,the image reconstruction model is solved to obtain the absorption rate information of each position on the square tray,and the position and shape of the medium on the tray are constructed.Finally,the feasibility of the model is verified by image reconstruction and comparison of the original data.
作者
夏彬珂
李天昊
邓明兴
覃思义
XIA Binke;LI Tianhao;DENG Mingxing;QIN Siyi(Yingcai Honors College,University of Electronic Science and Technology of China,Chengdu 611731,China;School of Electronic Science and Engineering,University of Electronic Science and Technology of China,Chengdu 611731,China;School of Mathematical Sciences,University of Electronic Science and Eechnology of China,Chengdu 611731,China)
出处
《实验科学与技术》
2018年第6期7-12,共6页
Experiment Science and Technology
