Some convergence results of OS-EM algorithm for ill-posed integral equations

被引：0

作者：

Guo, Yao ^{[1
]}

Wang, Jinping ^{[1
]}

机构：

[1] Ningbo Univ, Sch Math & Stat, Ningbo, Peoples R China

来源：

APPLICABLE ANALYSIS | 2020年 / 99卷 / 15期

基金：

中国国家自然科学基金;

关键词：

Yongzhi Xu; Integral equation; the OS-EM algorithm; Kullback-Leibler distance; regularization; EXPECTATION-MAXIMIZATION ALGORITHM; RECONSTRUCTION; EMISSION; ENTROPY;

D O I：

10.1080/00036811.2019.1577391

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the properties of iteration OS-EM reconstruction method. We propose a speed-enhanced tomographic reconstruction algorithm that is accelerated to ordered-subset expectation-maximization by overrelaxation parameters. In the case of exact data, we concentrate on showing the monotonicity properties of the methods and convergence to the solution of the equation. Furthermore, in the case of perturbed data, we obtain some similar qualitative conclusions of the EM reconstruction method.

引用

页码：2641 / 2654

页数：14

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