| 基于约束Landweber迭代的重建算法 |
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| 引用本文： | 李红艳,佟丽丽.基于约束Landweber迭代的重建算法[J].CT理论与应用研究,2009,18(3). |
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| 作者姓名： | 李红艳 佟丽丽 |
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| 作者单位： | 中南大学,数学科学与计算技术学院,长沙,410083 |
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| 摘 要： | 针对较少投影数据图像重建问题,在最小二乘优化的基础上,提出将未知误差引入不等式约束中,并针对其不适定性提出运用LandWeber迭代正则化技术进行迭代求解.数值实验表明相对以往各算法,此迭代算法更加稳定,并且在重建质量以及重建时间上都具有一定的优势.
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| 关 键 词： | 约束优化 Landweber迭代算法 图像重建 |
Restricted Landweber Iteration Algorithm for Image Reconstruction from Projection |
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| LI Hong-yan,TONG Li-li.Restricted Landweber Iteration Algorithm for Image Reconstruction from Projection[J].Computerized Tomography Theory and Applications,2009,18(3). |
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| Authors: | LI Hong-yan TONG Li-li |
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| Institution: | LI Hong-yan,TONG Li-li Department of Mathematical Science , Computing Technology,Central South University,Changsha 410083,China |
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| Abstract: | Image reconstruction from incomplete projections is a key problem in image reconstruction.In this paper,based on least-square optimization,some unknown error are adopted as inequality constraints.A new restricted iterative algorithm using Landweber iteration is proposed for the ill-posed problem.Compared with non-restricted iterative algorithm,under the condition of same computation time,this algorithm is more stable,and can give less error and higher fitness image.The effectiveness of the algorithm has bee... |
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| Keywords: | restricted optimization Landweber iteration image reconstruction |
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