线性Radon变换综述与算法实现  

Overview and Algorithm Implementation of Linear Radon Transform

作　　者：姜英爽 曹喜生 JIANG Yingshuang;CAO Xisheng(Tianshui Normal University,Tianshui 741000,Gansu,China;Tianshui Electric Drive Research Institute Group Co.,Ltd.,Tianshui 741020,Gansu,China;State Key Laboratory of Large Electrical Drive System and Equipment Technology,Tianshui 741020,Gansu,China)

机构地区：[1]天水师范学院,甘肃天水741000 [2]天水电气传动研究所集团有限公司,甘肃天水741020 [3]大型电气传动系统与装备技术国家重点实验室,甘肃天水741020

出　　处：《电气传动自动化》2024年第6期23-26,共4页Electric Drive Automation

摘　　要：Radon变换是一个积分变换,它将定义在二维平面上的一个函数沿着平面上任意一条直线做线积分,相当于函数做CT扫描。其基本应用是根据CT的透射光强重建出投影前的函数,即Radon变换的反演问题。常见的Radon变换包括线性即τ-p变换、抛物线即τ-q变换、双曲线和多项式Radon变换。本文重点介绍线性Radon变换及其在时间-空间域、频率-空间域的算法实现并给出MATLAB程序代码及变换结果图。Radon transform is an integral transform that integrates a function defined on a two-dimensional plane along any line on the plane,which is equivalent to a function doing CT scanning.Its basic application is to reconstruct the pre projection function based on the transmitted light intensity of CT,which is the inversion problem of Radon transform.Common Radon transformations include linear,i.eτ-p transformation;parabola,i.eτ-q transformation;hyperbola and polynomial Radon transforms.This article focuses on the implementation of linear Radon transform and its algorithms in the time space domain and frequency space domain,and provides MATLAB program code and transformation result graphs.

关 键 词：RADON变换 Τ-P变换 时间-空间域 频率-空间域 

分 类 号：TP241[自动化与计算机技术—检测技术与自动化装置]