A series formula for inversion of the V-line Radon transform in a disc

被引：28

作者：

Ambartsoumian, Gaik ^{[1
]}

Moon, Sunghwan ^{[2
]}

机构：

[1] Univ Texas Arlington, Dept Math, Arlington, TX 76019 USA

[2] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2013年 / 66卷 / 09期

基金：

美国国家科学基金会;

关键词：

Radon; V-line; Broken-ray; Transform; Inversion; Series; RECONSTRUCTION;

D O I：

10.1016/j.camwa.2013.01.039

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper presents an exact formula for a Fourier series reconstruction of a function from its V-line Radon transform in a disc. This transform (often also called broken-ray Radon transform) appears in mathematical models of several imaging modalities, e.g. single-scattering optical tomography and gamma-ray emission tomography. Our inversion formula relaxes the support restriction on the image function required in the previously discovered inversion technique (Ambartsoumian, 2012) [8], and uses data from only half of the set of broken rays required before. The general strategy of the current approach was outlined in (Ambartsoumian, 2012) [8]. (C) 2013 Elsevier Ltd. All rights reserved.

引用

页码：1567 / 1572

页数：6

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