CONVERGENCE ANALYSIS OF THE LOPING OS-EM ITERATIVE VERSION OF THE CIRCULAR RADON TRANSFORM

被引：0

作者：

郭娟 ^{[1
]}

王金平 ^{[1
]}

机构：

[1] Faculty of Science,Ningbo University

来源：

Acta Mathematica Scientia | 2014年 / 34卷 / 06期

基金：

中国国家自然科学基金;

关键词：

ill-posed equations; regularization; loping OS-EM iteration; circular Radon transform;

D O I：

暂无

中图分类号：

O171 [分析基础];

学科分类号：

0701 ; 070101 ;

摘要：

The loping OS-EM iteration is a numerically efficient regularization method for solving ill-posed problems. In this article we investigate the loping OS-EM iterative method in connection with the circular Radon transform. We show that the proposed method converges weakly for the noisy data. Numerical tests are presented for a linear problem related to photoacoustic tomography.

引用

页码：1875 / 1884

页数：10

共 11 条

[1] CONVERGENCE ANALYSIS OF THE LOPING OS-EM ITERATIVE VERSION OF THE CIRCULAR RADON TRANSFORM
Guo, Juan
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[J]. ACTA MATHEMATICA SCIENTIA, 2014, 34 (06) : 1875 - 1884
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