结合二维压缩感知和混沌映射的双图像视觉安全加密算法  

A Double Image Visual Security Encryption Algorithm Combining 2D Compressive Sensing and Chaotic Mapping

作　　者：蒋东华 朱礼亚[2] 沈子懿 王兴元[3] 陈颖频 JIANG Donghua;ZHU Liya;SHEN Ziyi;WANG Xingyuan;CHEN Yingpin(School of Information Engineering,Chang’an University,Xi’an 710064,China;School of Electronics and Control Engineering,Chang’an University,Xi’an 710064,China;School of Information Science and Technology,Dalian Maritime University,Dalian,Liaoning 116026,China;School of Physics and Information Engineering,Minnan Normal University,Zhangzhou,Fujian 363000,China)

机构地区：[1]长安大学信息工程学院,西安710064 [2]长安大学电子与控制工程学院,西安710064 [3]大连海事大学信息科学技术学院,辽宁大连116026 [4]闽南师范大学物理与信息工程学院,福建漳州363000

出　　处：《西安交通大学学报》2022年第2期139-148,共10页Journal of Xi'an Jiaotong University

基　　金：陕西省科技计划资助项目(2021SF-483);福建省自然科学基金资助项目(2020J05169,2020J01816)。

摘　　要：为解决图像加密技术在安全性和效率上的均衡问题,提出了一种结合压缩感知和混沌映射的双图像视觉安全加密算法。首先,通过引入非线性反馈项对经典一维Chebyshev混沌映射进行改进,用以构造受控测量矩阵和密码流;然后利用测量矩阵分别对两幅明文图像的整数小波系数进行二维压缩感知,并在密码流的控制下通过Fan变换和双向扩散过程生成秘密图像;最后,采用最低有效位嵌入算法将秘密图像信息嵌入到载体图像的像素值通道和alpha通道中,实现了两幅明文图像的同步压缩和视觉安全加密。实验结果表明:与采用复杂超混沌系统的单图像视觉安全加密算法相比,该算法在保证安全性的前提下,秘密信息嵌入容量扩大了一倍,加密时间开销减少40%以上,解密图像的峰值信噪比提升了1~7 dB。A double image visual security encryption algorithm combining compressive sensing and chaotic mapping is proposed to balance the security and efficiency of image encryption technology. Firstly, the classical one-dimensional Chebyshev chaotic map is improved by introducing a nonlinear feedback term to construct the key-controlled measurement matrixes and secret code streams. Then, the measurement matrixes are employed to compress the integer wavelet coefficients of two plain images from two directions, respectively, and under the control of the secret code streams, the compressed images are encrypted through Fan transform and bidirectional diffusion operation to generate secret images. Finally, the least significant bit embedding method is applied to randomly embed the encrypted image information into the pixel value channel and the alpha channel of any carrier image to realize the synchronization compression and visual security encryption of the two plaintext images. Simulation results show that under the premise of security, the proposed algorithm could double the payload capacity of secret information, reduce the encryption time by more than 40%, and improve the peak signal-to-noise ratio of decryte image around 1~7 dB, compared with the visually secure single-image encryption scheme based on complicated hyper-chaotic system.

关 键 词：图像加密 双向扩散 混沌映射 压缩感知 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]