| 次梯度投影算子求解图像重建问题的并行策略 |
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| 引用本文： | 王彩芳,殷绪导,张晓媛,徐兆亮.次梯度投影算子求解图像重建问题的并行策略[J].计算机辅助工程,2018,27(2):12-17. |
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| 作者姓名： | 王彩芳 殷绪导 张晓媛 徐兆亮 |
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| 作者单位： | 上海海事大学 文理学院,上海海事大学 文理学院,上海海事大学 文理学院,上海海事大学 文理学院 |
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| 基金项目： | 国家自然科学基金(11401372) |
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| 摘 要： | 将次梯度投影迭代算法应用到数字图像重建问题。将图像重建问题转化为求一个加权最小二乘问题，导出次梯度投影算子在该问题下的具体迭代形式，并采用并行计算策略重建算法。通过三维数值实验对比次梯度投影迭代算法与常用的SART算法，验证算法的可行性和效率。
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| 关 键 词： | 图像重建 加权最小二乘 次梯度投影算子 并行计算 |
| 收稿时间： | 2018/1/26 0:00:00 |
| 修稿时间： | 2018/2/5 0:00:00 |
Parallel strategy of subgradient projection operator for image reconstruction |
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| WANG Caifang,YIN Xudao,ZHANG Xiaoyuan and XU Zhaoliang.Parallel strategy of subgradient projection operator for image reconstruction[J].Computer Aided Engineering,2018,27(2):12-17. |
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| Authors: | WANG Caifang YIN Xudao ZHANG Xiaoyuan and XU Zhaoliang |
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| Affiliation: | College of Arts and Sciences, Shanghai Maritime University,College of Arts and Sciences, Shanghai Maritime University,College of Arts and Sciences, Shanghai Maritime University,College of Arts and Sciences, Shanghai Maritime University |
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| Abstract: | The subgradient projection iterative algorithm is applied to digital image reconstruction. The problem of image reconstruction is transformed into a weighted least square problem, the specific iterative form of the subgradient projection operator is derived, and parallel computing strategy reconstruction algorithm is adopted. The iterative algorithm of subgradient projection and the common SART algorithm are compared by three dimensional numerical experiments. The feasibility and efficiency of the algorithm are verified. |
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| Keywords: | image reconstruction weighted least-square subgradient projection operator parallel computation |
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