A 3D Finite Radon Transform

作     者：Mustapha Boukour Abderrahim El Omri 

作者机构：Faculté des Sciences et Techniques de TangerLaboratoire de Mécanique et Génie CivilBP.416 TangierMorocco 

出 版 物：《Journal of Mathematics and System Science》 (数学和系统科学（英文版）)

年 卷 期：2019年第9卷第2期

页      面：64-69页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Radon transform discrete radon transform FRT discrete Fourier numerical computing 

摘      要：The present work is devoted to the development of the extension of FRT (Finite Radon Transform) to the tridimensional case. One simple formulation is proposed and it is shown that it is the exact discretization of the continuous Discrete Radon Transform. More precisely this is the case when the sampling is given on a regular grid i.e. the continuous function is filtered by the mean of the box function. Relation of this transform with the Discrete Fourier one is given and is for some help in numerical implementation.