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基于压缩感知的图像重构算法

史久根 吴文婷 刘胜

计算机工程Issue(2):229-232,4.
计算机工程Issue(2):229-232,4.DOI:10.3969/j.issn.1000-3428.2014.02.049

基于压缩感知的图像重构算法

Image Reconstruction Algorithm Based on Compressed Sensing

史久根 1吴文婷 2刘胜1

作者信息

  • 1. 合肥工业大学计算机与信息学院,合肥 230009
  • 2. 安全关键工业测控技术教育部工程研究中心,合肥 230009
  • 折叠

摘要

Abstract

There are some problems in the typical gradient projection algorithms in the application of Compressed Sensing(CS), such as the large amount of calculation, the low efficiency of convergence process and excessive dependence on the sparsity of the data matrix. In order to deal with these problems, an efficient recovery algorithm is proposed. This algorithm is based on CS which combines the Quasi-Newton method and the gradient projection method. So it can make full use of the estimating and correcting procedure and the global superlinear convergence of the Quasi-Newton method. By correcting the objective function with the Quasi-Newton method, a more accurate searching direction and fewer iteration can be got. It makes the algorithm perform efficiently with a high convergent reconstruction based on compressed sensing. Experimental results prove that this algorithm shows a good reconstruction and anti-noise performance. Compared with the traditional gradient projection recovery method, the proposed method drops the error rate to make a more stable and convergent reconstruction with fewer iteration.

关键词

压缩感知/梯度投影/拟牛顿法/重构/稳定性/收敛性

Key words

Compressed Sensing(CS)/gradient projection/Quasi-Newton method/reconstruction/stability/convergence

分类

信息技术与安全科学

引用本文复制引用

史久根,吴文婷,刘胜..基于压缩感知的图像重构算法[J].计算机工程,2014,(2):229-232,4.

基金项目

广东省教育部产学研结合基金资助项目(2009B090300302) (2009B090300302)

计算机工程

OA北大核心CSCDCSTPCD

1000-3428

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