Ordered Subset Expectation Maximum Algorithms Based on Symmetric Structure for Image Reconstruction

Ordered Subset Expectation Maximum Algorithms Based on Symmetric Structure for Image Reconstruction
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基于对称结构的图像重建有序子集期望最大值算法

DOI:
10.3390/sym10100449
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发表时间:
2018-10
期刊:
影响因子:
2.7
通讯作者:
Qiu Jun
Qiu Jun
中科院分区:
综合性期刊4区
文献类型:
--
作者:
Liu Chang;Qiu Jun

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In this paper, we propose the symmetric structure of the reconstructed points discretization model to partition and order the subsets of Ordered Subset Expectation Maximum (OSEM) algorithms for image reconstruction and then simplify the calculation of the projection coefficient matrix while satisfying the balancing properties of subsets. The reconstructed points discretization model was utilized to describe the forward and inverse relationships between the reconstructed points and the projection data according to the distance from the point to the ray rather than the intersection length between the square pixel and the ray. This discretization model provides new approaches for improving and constructing the reconstruction algorithms on the basis of the geometry of the model. The experimental results show that the OSEM algorithms based on the reconstructed points discretization model and its geometric symmetry structure can effectively improve the imaging speed and the imaging precision.
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