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光滑lp范数压缩感知图像重构优化算法

刘玉红 杨丹凤

计算机工程与应用2019,Vol.55Issue(15):213-218,256,7.
计算机工程与应用2019,Vol.55Issue(15):213-218,256,7.DOI:10.3778/j.issn.1002-8331.1805-0106

光滑lp范数压缩感知图像重构优化算法

Smooth lp Norm on Image Reconstruction Optimization Algorithm of Compressed Sensing

刘玉红 1杨丹凤1

作者信息

  • 1. 兰州交通大学 电子与信息工程学院,兰州 730070
  • 折叠

摘要

Abstract

Aiming at the problem of low precision and long time consuming of the existing compressed sensing recon-struction algorithms, an improved algorithm is proposed based on the research of lp norm and smooth l 0 norm recon-struction algorithm. A smooth function is constructed with a maximum entropy function to approximate the minimum lp norm, then the solution sequence is discretized to approximate the optimal solution of the minimum lp norm. Combined with image block compressed sensing technology. The test images are simulated in MATLAB. The results show that the proposed algorithm not only improves the reconstruction accuracy, but also greatly reduces the running time, compared to the traditional block orthogonal matching pursuit algorithm and the Iteratively Reweighted Least Squares(IRLS)algorithm.

关键词

压缩感知/光滑函数/lp范数/图像重构

Key words

compressed sensing/ smooth function/ lp norm/ image reconstruction

分类

信息技术与安全科学

引用本文复制引用

刘玉红,杨丹凤..光滑lp范数压缩感知图像重构优化算法[J].计算机工程与应用,2019,55(15):213-218,256,7.

基金项目

甘肃省自然科学基金(No.1610RJZA049). (No.1610RJZA049)

计算机工程与应用

OA北大核心CSCDCSTPCD

1002-8331

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