| 基于自适应小波基和Smoothed-l0的压缩感知图像重构算法 |
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| 引用本文： | 黄添强,苏立超.基于自适应小波基和Smoothed-l0的压缩感知图像重构算法[J].江苏技术师范学院学报,2011,17(10):33-38,66. |
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| 作者姓名： | 黄添强 苏立超 |
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| 作者单位： | 福建师范大学数学与计算机科学学院,福建福州,350007 |
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| 基金项目： | 国家自然科学基金，福建省自然科学基金，福建省高校服务海西建设重点项目，福建省高校新世纪优秀人才项目 |
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| 摘 要： | 使用压缩感知进行图像重构的意义在于能显著减少采样次数,节约系统资源。从提高图像重构质量和算法执行速度角度出发,在已有的算法基础上加以改进,提出了基于自适应小波基和Smoothed-l0的图像重构算法(AWSL0),即根据测量矩阵行向量的个数,自适应地选择合适的小波基进行图像稀疏化,并使用Smoothed-l0算法进行图像重构。仿真结果表明,该算法在图像重构质量上和执行速度上都比原算法有较大的提升,且在鲁棒性上也有明显的改善。
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| 关 键 词： | 压缩感知 图像重构 Smoothed-l0算法 单层小波变换 |
A Compressed Sensing Algorithm for Image Reconstruction Based on Adaptive Wavelet and Smoothed-l0 |
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| HUANG Tian-qiang,SU Li-chao.A Compressed Sensing Algorithm for Image Reconstruction Based on Adaptive Wavelet and Smoothed-l0[J].Journal of Jiangsu Teachers University of Technology,2011,17(10):33-38,66. |
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| Authors: | HUANG Tian-qiang SU Li-chao |
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| Institution: | 1(1.School of Mathematics and Computer Science,Fujian Normal University,Fuzhou 350007,China;2.Key Laboratory of Network Security and Cryptography,Fujian Normal University,Fuzhou 350007,China) |
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| Abstract: | Using compressed sensing algorithm for image reconstruction can significantly reduce the times of sampling and the save system resources.This paper presents a new image reconstruction algorithm based on adaptive wavelet and Smoothed-l0（AWSL0）,in order to increase the quality of reconfiguration and execution speed.Thes wavelet basis were adaptively selected for image sparse in the algorithm incording to the number of row vectors in the measurement matrix,and the Smoothed-l0 algorithm was used for image reconstruction.The simulation results show that thealgorithm significantly improves the execution speed and the quality and robustnesss of the reconstructed image. |
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| Keywords: | compressed sensing image reconstruction Smoothed-l0 algorithm single layer wavelet transform |
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