基于小波变换的压缩感知在图像加密中的应用  

Compressed Sensing Based on Single Layer Wavelet Transform for Image Encryption

作　　者：张爱华[1] 薄禄裕[1] 盛飞[1] 杨培[1] 

机构地区：[1]南京邮电大学,江苏南京210003

出　　处：《计算机技术与发展》2011年第12期145-147,151,共4页Computer Technology and Development

基　　金：国家自然科学基金(61070234);南京邮电大学校科研基金(NY210018)

摘　　要：利用单层小波变换的压缩感知算法的特点,提出了一种基于斜帐篷映射的混沌图像加密系统的改进方法。加密时,首先应用基于单层小波变换的压缩感知算法对图像进行初始化,然后对初始化后的图像加密。解密时,首先进行加密映射的反变换解密,然后利用正交匹配追踪算法(OMP)对高频系数进行恢复,最后再进行小波反变换重构图像。仿真结果表明,该算法不仅继承了原有系统的优良密码学特性,而且在相同时间条件下,在图像较小失真的情况下大大增加图像加密的安全性。According to compressed sensing algorithm based on the single layer wavelet transform, a new chaotic cryptosystem method based on skew tent map was proposed. For the encryption ,by using the improved compressed sensing algorithm based on the single layer wavelet transform could initialize the image,then the image can be encrypted. For the decryption,decrypt the image first,then by using the orthogonal matching pursuit （OMP） algorithm,high-pass wavelet coefficients could be recovered by the measurements. Then the image could be reconstructed by the inverse wavelet transform. Compared with the original cryptosystem,the proposed cryptosystem inberited the advantages of the original one and it greatly enhances the security of image encryption with small image distortion by using the same time.

关 键 词：压缩感知 图像加密 单层小波变换 斜帐篷映射 混沌序列 

分 类 号：TP309[自动化与计算机技术—计算机系统结构]