关于不适定积分方程修正OS-EM算法的收敛性研究
PDF下载 (319)郭 瑶,王金平*.关于不适定积分方程修正OS-EM算法的收敛性研究[J].宁波大学学报(理工版),2019,32(6):77-81.DOI:
GUO Yao,WANG Jinping*.Study on convergence of modified OS-EM algorithm in ill-posed integral equations[J].Journal of Ningbo University(Natural Science & Engineering Edition),2019,32(6):77-81.DOI:
| Title: | Study on convergence of modified OS-EM algorithm in ill-posed integral equations |
| 作者: | 郭 瑶, 王金平* |
| Author(s): | GUO Yao, WANG Jinping* |
| 关键词: | 修正OS-EM算法; Kullback-Leibler距离; 松弛算子 |
| Keywords: | the modified OS-EM algorithm; Kullback-Leibler distance; overrelaxation parameters |
| 分类号: | O177.6; O175.5 |
| 文献标识码: | A |
| 摘要: | 主要针对修正OS-EM(Ordered-Subset Expectation-Maximization)重建算法进行研究, 即利用超松弛参数来加速有序子集, 期望最大化的快速重建算法, 并且通过OS-EM算法来进行收敛性分析. 此外, 还充分利用KL距离的一些性质, 以探究在精确数据的情况下, 修正OS-EM算法的单调性及其方程解的收敛性. |
| Abstract: | In this paper, we mainly study the modified OS-EM (ordered-subset expectation-maximization) reconstruction algorithm, which is a fast reconstruction algorithm that uses overrelaxation parameters to accelerate the expectation of ordered subsets, and analyze convergence by OS-EM algorithm. By making full use of some properties of KL distance, we explore the monotonicity of the modified OS-EM algorithm and the convergence of the solution of the equations in the case of accurate data |
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| 备注/Memo: | 收稿日期: 2018?10?15. 宁波大学学报（理工版）网址 http://journallg.nbu.edu.cn/基金项目: 国家自然科学基金（61271398）.第一作者: 郭瑶（）, , 湖北武汉人, 在读硕士研究生, 主要研究方向: 积分变换与图像处理. E-mail: 1587514082@qq.com*通信作者: 王金平（）, 湖北武汉人, 博士/教授, 主要 宁波大学学报（理工版）网址：http://journallg.nbu.edu.cn/ |
