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基于非局部双边随机投影低秩逼近图像去噪算法
引用本文:罗亮*,冯象初,张选德,李小平.基于非局部双边随机投影低秩逼近图像去噪算法[J].电子与信息学报,2013,35(1):99-105.
作者姓名:罗亮*  冯象初  张选德  李小平
作者单位:1. 西安电子科技大学理学院 西安 710071
2. 宁夏大学数学计算机学院 银川 750021
基金项目:国家自然科学基金(61271294,60872138,61105011,11101292,61001156)资助课题
摘    要:该文提出一种基于非局部双边随机投影的低秩逼近图像去噪新方法。首先,对每个图像块通过非局部搜索寻找相似匹配块簇,然后对相似匹配块簇进行双边随机投影,用投影后的低秩结构恢复原图像。实验结果表明,所提方法比奇异值分解方法有较低的计算复杂度,比单边随机投影方法有较小的重构误差。特别是和3维块匹配方法相比,所提方法能保持相近的信噪比和较好的视觉质量。

关 键 词:图像去噪  非局部方法  随机投影  低秩逼近  奇异值分解
收稿时间:2012-06-27

An Image Denoising Method Based on Non-local Two-side Random Projection and Low Rank Approximation
Luo Liang Feng Xiang-chu Zhang Xuan-de Li Xiao-ping.An Image Denoising Method Based on Non-local Two-side Random Projection and Low Rank Approximation[J].Journal of Electronics & Information Technology,2013,35(1):99-105.
Authors:Luo Liang Feng Xiang-chu Zhang Xuan-de Li Xiao-ping
Affiliation:(School of Science, Xidian university, Xi'an 710071, China)
(School of Mathematics and Computer, Ningxia University, Yinchuan 750021, China)
Abstract:A novel image denoising method is proposed by using non-local approximation of low-rank based on random projection. The cluster of similar patch for each pixel point is found by using methods of non-local searching, and then compute low-rank approximation of matrix corresponding to the cluster of similar patches using two-side random projection. Finally, the image noise is suppressed by using the Low rank structure. Results show that the proposed method have the low computation cost. Comparing with one-side random projection method, the proposed algorithm ensure lower reconstruction error, and comparing with the Block Method of 3-Dimension (BM3D) method, proposed method have appealing visual quality of images.
Keywords:Image denoising  Non-local method  Random projection  Approximation of low rank matrix  Singular Value Decomposition (SVD)
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