针对基于秘密信息置乱方法等类型的信息隐藏算法不可见性低和抗攻击性弱这一问题,提出了一种基于压缩感知和GHM多小波变换的信息隐藏算法.首先,将载体图像进行一次GHM多小波变换,再对所得到的中间能量区域进行一次小波变换得到HH分量,将HH分量进行奇异值分解;其次,将秘密图像进行小波变换,将得到的小波系数进行压缩感知得到观测矩阵,再对观测矩阵元素进行奇异值分解;最后,利用秘密图像的奇异值替换掉载体图像的奇异值来完成秘密信息的嵌入.实验结果表明,相比两种加密算法,算法不可见性(PSNR值)分别提高5.99％和22.11％;对低通滤波、椒盐噪声、高斯噪声、JPEG压缩等常见攻击具有良好的鲁棒性,相关系数(NC)平均增强了4.11％和11.53％.%To solve the problem of low invisibility and weak anti-attacking ability in the traditional information hiding algorithm,an information hiding algorithm based on compression sensing was proposed.Firstly,the carrier image was operated by first-order GHM (Geronimo Hardin Massopust) multiwavelet transform,and the obtained region in medium energy level was processed by first-order GHM transform again to get HH component,which was decomposed by the Singular Value Decomposition (SVD).Secondly,the secret image was disposed by the wavelet transform,and the obtained wavelet coefficient was processed by compressed sensing in order to get the measurement matrix.Then the elements of the matrix were decomposed by SVD.Finally,the singular value of the carrier image was replaced by the singular value of the secret image to finish the secret information embedding.The experiment shows that compared with existing two information hiding algorithms,the invisibility has been improved by 5.99％ and 22.11％ respectively;and the robustness against some common attacks such as low-pass filtering,salt and pepper noise,Gaussian noise and JPEG compression has been improved by 4.11％ and 11.53％ averagely.
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