Inversion of a generalized Radon transform by algebraic iterative methods

被引：2

作者：

Ustaoglu, Zekeriya ^{[1
]}

机构：

[1] Zonguldak Bulent Ecevit Univ, Fac Arts & Sci, Dept Math, TR-67100 Zonguldak, Turkey

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2023年 / 46卷 / 01期

关键词：

algebraic reconstruction; generalized Radon transform; simultaneous iterative reconstruction; CONVERGENCE; TOMOGRAPHY; ALGORITHMS; ART;

D O I：

10.1002/mma.8502

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Inversion of a generalized Radon transform (GRT) of seismic type is investigated by employing the algebraic iterative methods ART and SIRT, which require discrete formulations of the reconstruction problem. To this aim, two discretization procedures are proposed: a direct discretization and a discretization via the relation of GRT with the regular Radon transform (RT). The feasibility and the semi-convergence behavior of the proposed methods are analyzed and compared by discussing the effect of noisy data.

引用

页码：167 / 179

页数：13

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