基于压缩感知和超混沌系统的图像压缩加密方法  

Image Compression and Encryption Based on Compressive Sensing and Hyperchaotic System

作　　者：潘涛 佟晓筠[1] 张淼[1] 王翥[2] PAN Tao;TONG Xiaojun;ZHANG Miao;WANG Zhu(School of Computer Science and Technology,Harbin Institute of Technology,Weihai,Shandong 264209,China;School of information science and Engineering,Harbin Institute of Technology,Weihai,Shandong 264209,China)

机构地区：[1]哈尔滨工业大学(威海)计算机科学与技术学院,山东威海264209 [2]哈尔滨工业大学(威海)信息科学与工程学院,山东威海264209

出　　处：《计算机科学》2023年第S01期714-719,共6页Computer Science

基　　金：国家自然科学基金(61902091);山东省自然科学基金(ZR2019MF054)。

摘　　要：在医疗、军事、金融系统等需要传输重要图像的场景下,为了安全高效地传输图像,将图像进行压缩加密是一种行之有效的办法,图像经过压缩后传输可以减小传输开销,经过加密后也可以抵抗一些攻击者的攻击手段,保证了信息的安全性。基于压缩感知理论可以完成稀疏采样,超混沌系统能够为系统安全性提供保障。同时,文中还分析了超混沌系统的混沌特性,证明了该系统是混沌的且足够安全,超混沌系统生成的混沌序列还被用于构造测量矩阵,从而不必在传输过程中传输文本较大的矩阵,而只需要传输密钥即可。在压缩理论基础上还使用了置乱扩散操作,扩散采用了与明文相关的扩散操作,使图像安全性得到了很大提升,保障了数据安全。经过实验测试,图像的压缩加密效果较好,密钥空间大、对密钥足够敏感,说明所提方法能够抵抗暴力攻击、统计攻击等多种常用的攻击方法;在压缩比正常的情况下恢复得到的解密图像与原文图像在视觉上差距较小,甚至与原文图像相差无几,说明该算法重构质量较好,安全性较高。In medical,military,financial systems and other scenarios where important images need to be transmitted,image compression and encryption is a feasible and effective way to transmit images safely and efficiently.Image compression and transmission can reduce the transmission overhead.Compressed images can be encrypted to make images more secure,and ordinary people can not get key information from them.After encryption,it can also resist some attacks means to ensure the security of information.Based on the compression perception theory,sparse sampling can be completed,and images can be compressed to any scale.Hyperchaotic system can guarantee the security of the system.Chaotic characteristics such as Lyapunov exponents of hyperchao-tic system are also analyzed.It is proved that the system is chaotic and safe enough.Chaotic sequences generated by hyperchaotic system are also used to construct measurement matrix.This eliminates the need to transfer a matrix with large text during transmission,but only the key.On the basis of compression theory,scrambling diffusion operation is also used,and diffusion operation related to plain text is used,which greatly improves image security and ensures data security.Experiments show that the image is compressed and encrypted well,the key space is large,the key is sensitive enough,the cipher histogram is distributed evenly,the cipher information entropy is close to the theoretical value,and the correlation between cipher images is low,which shows that it can resist many common attacks such as violent attacks and statistical attacks.At the same time,the decrypted image restored under normal compression ratio has a small visual gap with the original image,even if the compression ratio is small,most of the information content of the image can be seen,which indicates that the algorithm has a good reconstruction quality and high security.

关 键 词：混沌系统 压缩感知 压缩加密 视觉安全 图像安全 

分 类 号：TP309.7[自动化与计算机技术—计算机系统结构]