gyrator变换域的高鲁棒多图像加密算法  

Multiple image encryption of high robustness in gyrator transform domain

作　　者：王丰 邵珠宏[1,2] 王云飞 姚启钧 刘西林 Wang Feng;Shao Zhuhong;Wang Yunfei;Yao Qijun;Liu Xilin(College of Information Engineering,Capital Normal University,Beijing 100048,China;Beijing Advanced Innovation Center for Imaging Theory and Technology,Beijing 100048,China;Department of Physics,Capital Normal University,Beijing 100048,China;Department of Chemistry,Capital Normal University,Beijing 100048,China;College of Data Science,Taiyuan University of Technology,Taiyuan 030600,China)

机构地区：[1]首都师范大学信息工程学院,北京100048 [2]北京成像理论与技术高精尖创新中心,北京100048 [3]首都师范大学物理系,北京100048 [4]首都师范大学化学系,北京100048 [5]太原理工大学大数据学院,太原030600

出　　处：《中国图象图形学报》2020年第7期1366-1379,共14页Journal of Image and Graphics

基　　金：国家自然科学基金项目(61876112,61601311);北京市优秀人才资助项目(2016000020124G088);北京市教委科研计划项目(SQKM201810028018);北京市长城学者基金项目(CIT&TCD20170322)。

摘　　要：目的随着互联网通信和多媒体技术的快速发展,单幅图像加密技术难以满足日益增长的数据传输需求。为提高图像加密系统的传输效率,同时保证安全性和鲁棒性,本文构建一种基于gyrator变换和多分辨率奇异值分解(multi-resolution singular value decomposition,MRSVD)的多图像加密算法。方法首先,将明文图像每两幅组合为复数矩阵,利用改进的logistic映射生成混沌相位掩模,对复数矩阵进行gyrator域的双随机相位编码。其次,将变换后矩阵的实部分量和虚部分量组合为实数矩阵并进行多分辨率奇异值分解。最后,使用正交系数矩阵对多分辨率奇异值分解的结果进行线性组合得到密文图像。结果实验结果表明,使用本文算法得到的解密图像的峰值信噪比大于300 d B,解密图像质量相较于对比算法的解密图像质量更好;密钥发生微小改变前后密文相关系数(correlation coefficient,CC)远小于0.20,明文像素值发生微小变化时像素变化率(number of pixels change rate,NPCR)与归一化平均变化强度(unified average changing intensity,UACI)分别约为0.9990和0.3337;密钥空间大小为5.6169×1060,可以抵御蛮力攻击;当密文图像受到一定强度的高斯白噪声和剪切攻击时,本文算法能够较好地恢复明文图像。结论所提出的多图像加密算法在高质量恢复明文图像的同时具有较高的安全性和较强的鲁棒性,可以应用于图像的内容保护与安全传输。Objective The rapid development of the Internet communication and multimedia technology has allowed the convenient transmission of substantial video,image,and other multimedia data through networks at any moment.On the one hand,these data may be leaked in the transmission process and illegally used due to the openness and sharing of the internet.On the other hand,several images may contain sensitive information,such as human body images that can potentially reveal the privacy information of one person,including gender,weight,and health status.Remote sensing images may include important information,such as geographical location,sensor parameters,and the spectral characteristics of ground objects.Therefore,the protection of image content and secure communication have become important issues in the field of information security.Since the double random phase encoding(DRPE)was proposed,numerous encryption schemes,such as fractional Fourier transform,gyrator transform,Fresnel transform,and multiparameter discrete fractional Fourier transform,have been introduced in other domains.The majority of such algorithms focus on a single image.Multi-image encryption technology has been widely investigated in recent years to meet the growing demand for data transmission.This paper introduces a multi-image encryption algorithm based on gyrator transform and multiresolution singular value decomposition(MRSVD).Method First,every two images are combined into a complex matrix by precoding and then DRPE in the gyrator domain is performed,where chaotic phase masks are constructed using a modified logistic map.Second,the real and imaginary parts of the transformed results are spliced into a real matrix.MRSVD is implemented to improve the security.With a given mean and variance values,a Gaussian matrix is generated and an orthogonal coefficient matrix is obtained by singular value decomposition.Cipher images are obtained by linear combination of the MRSVD results.Plaintext images can be recovered using an authorized key through the revers

关 键 词：多图像加密 gyrator变换 多分辨率奇异值分解 改进的logistic映射 双随机相位编码 

分 类 号：TP309.7[自动化与计算机技术—计算机系统结构]