Properties of the fractional (exponential) Radon transform

被引：2
|
作者：
Moon, Sunghwan [1 ]
机构：
[1] Kyungpook Natl Univ, Dept Math, Daegu 41566, South Korea
来源：
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2017年 / 28卷 / 12期
基金：
新加坡国家研究基金会;
关键词：
Fractional; Fourier transform; Radon transform; exponential Radon transform; tomography; X-ray transform; FOURIER-TRANSFORMS; OPTICAL IMPLEMENTATION;
D O I：
10.1080/10652469.2017.1390666
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The fractional Radon transform defined, based on the Fourier slice theorem and the fractional Fourier transform, has many potential applications in optics and the pattern-recognition field. Here we study many properties of the fractional Radon transform using existing theory of the regular Radon transform: the inversion formulas, stability estimates, uniqueness and reconstruction for a local data problem, and a range description. Also, we define the fractional exponential Radon transform and present its inversion.
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页码：923 / 939
页数：17
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