| 关于不适定积分方程修正OS-EM算法的收敛性研究 |
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| 引用本文： | 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),2019,0(6):77-81. |
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| 作者姓名： | 郭 瑶 王金平 |
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| 作者单位： | (宁波大学 数学与统计学院, 浙江 宁波 315211) |
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| 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.
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| 关 键 词： | 修正OS-EM算法 Kullback-Leibler距离 松弛算子 |
Study on convergence of modified OS-EM algorithm in ill-posed integral equations |
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| GUO Yao,WANG Jinping.Study on convergence of modified OS-EM algorithm in ill-posed integral equations[J].Journal of Ningbo University(Natural Science and Engineering Edition),2019,0(6):77-81. |
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| Authors: | GUO Yao WANG Jinping |
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| Institution: | ( School of Mathematics and Statistics, Ningbo University, Ningbo 315211, China ) |
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| 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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| Keywords: | the modified OS-EM algorithm Kullback-Leibler distance overrelaxation parameters |
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