基于压缩感知与实时动态置乱的图像加密算法  

Image encryption algorithm based on compression sensing and real-time dynamic scrambling

作　　者：杨岿 YANG Kui(Modern Educational Technology Center,Huazhong Agricultural University,Wuhan 430070,China)

机构地区：[1]华中农业大学现代教育技术中心,湖北武汉430070

出　　处：《计算机工程与设计》2018年第9期2879-2886,共8页Computer Engineering and Design

基　　金：国家自然科学基金项目(50373086);湖北省自然科学基金项目(2016CFB158)

摘　　要：为解决当前图像加密技术都是采用相同的置乱操作完成像素混淆,使其安全性不高的不足,提出基于压缩感知与实时动态置乱的图像加密算法。设计复合分阶混沌映射,获取随机序列,构造压缩感知CS(compression sensor)的Bernoulli测量矩阵;借助CS对明文的DCT(discrete cosine transform)系数矩阵完成压缩,对其实施分块处理;结合黄金分割序列与Lucas序列,设计实时动态置乱机制,高效置乱子块像素位置,获取置乱系数矩阵;设计线性缩放机制,约束置乱后的系数矩阵,联合离散余弦逆变换,输出置乱图像;构建扩散机制,完成图像加密。实验结果表明,与当前图像加密算法相比,所提算法具有更高的安全性与用户响应。To solve the defect of low security induced by using the same scrambling operation to confuse the pixels in current image encryption,an image encryption algorithm based on sparse compression and real-time dynamic scrambling was proposed.The random sequence was obtained by designing the complex hierarchical chaotic mapping for constructing Bernoulli measurement matrix of compressed sensing.The DCT coefficient matrix of plaint was compressed and it was divided into sub blocks.The real-time dynamic scrambling mechanism was designed by combining the golden segmentation sequence and Lucas sequence to permute the pixel position.The linear scaling mechanism was designed to confine the coefficient matrix of permutation cipher.The diffusion mechanism was constructed to finish the image encryption.Experimental results show that the proposed algorithm has higher security and better user response compared with the current image encryption algorithm.

关 键 词：图像加密 压缩感知 动态置乱 复合分阶混沌映射 黄金分割序列 LUCAS序列 线性缩放 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]