Abstract Based on compressive sensing and double random encryption strategy, a novel color image compression and encryption scheme is proposed in this paper. The architecture of compression, confusion and diffusion is adopted. Firstly, the red, green and blue components of color plain image are converted to three sparse coefficient matrices by discrete wavelet transform (DWT), and then a double random position permutation (DRPP) is introduced to confuse the coefficient matrices. Subsequently, Logistic-Tent system is utilized to generate the asymptotic deterministic random measurement matrix based on chaotic system and plain image (ADMMCP), which is used to measure the coefficient matrices to obtain measurement value matrices. Moreover, simultaneous double random pixel diffusion between inter-intra components (SDRDIC) is presented to modify the elements of measurement value matrices to obtain the final cipher image. A 4-D hyperchaotic system is applied to produce chaotic sequences for confusion and diffusion, the initial conditions of the used chaotic systems are controlled by the SHA 512 hash value of plain image and external keys, such that the proposed image cryptosystem may withstand known-plaintext and chosen-plaintext attacks. Experimental results and security analyses verify the effectiveness of the proposed cipher.

中文翻译：

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基于压缩感知和双随机加密策略的彩色图像压缩加密方案

摘要 本文基于压缩感知和双随机加密策略，提出了一种新颖的彩色图像压缩加密方案。采用了压缩、混淆和扩散的架构。首先通过离散小波变换(DWT)将彩色纯色图像的红、绿、蓝分量转换为三个稀疏系数矩阵，然后引入双随机位置置换(DRPP)对系数矩阵进行混淆。随后，利用Logistic-Tent系统生成基于混沌系统和普通图像的渐近确定性随机测量矩阵(ADMMCP)，用于测量系数矩阵，得到测量值矩阵。而且，提出了内部组件之间的同时双随机像素扩散（SDRDIC）来修改测量值矩阵的元素以获得最终的密码图像。应用4-D超混沌系统来产生用于混淆和扩散的混沌序列，所用混沌系统的初始条件由普通图像和外部密钥的SHA 512哈希值控制，因此所提出的图像密码系统可以承受已知的-明文攻击和选择明文攻击。实验结果和安全分析验证了所提出密码的有效性。所使用的混沌系统的初始条件由纯图像和外部密钥的 SHA 512 哈希值控制，因此所提出的图像密码系统可以承受已知明文和选择明文攻击。实验结果和安全分析验证了所提出密码的有效性。所使用的混沌系统的初始条件由纯图像和外部密钥的 SHA 512 哈希值控制，因此所提出的图像密码系统可以承受已知明文和选择明文攻击。实验结果和安全分析验证了所提出密码的有效性。