基于改进二维混沌映射的彩色图像加密算法  

A Color Image Encryption Algorithm Based on Improved 2D Chaotic Map

作　　者：纪元法[1,2,3] 李菊 孙希延 严素清[1,2] JI Yuan-fa;LI Ju;SUN Xi-yan;YAN Su-qing(Guangxi Key Laboratory of precision Navigation Technology and Application,Guilin University of Electronic Technology,Guilin Guangxi 541004,China;School of Information and Communication,Guilin University of Electronic Technology,Guilin Guangxi 541004,China;National&Local Joint Engineering Research Center of Satellite Navigation Positioning and Location Service,Guilin Guangxi 541004,China)

机构地区：[1]桂林电子科技大学广西精密导航技术与应用重点实验室,广西桂林541004 [2]桂林电子科技大学信息与通信学院,广西桂林541004 [3]卫星导航定位与位置服务国家地方联合工程研究中心,广西桂林541004

出　　处：《计算机仿真》2023年第4期180-185,共6页Computer Simulation

基　　金：国家重点研发计划资助(2018YFB0505103);国家自然科学基金(61861008,11603041,62061010);广西科技厅项目(桂科AA19182007,桂科AA19254029);广西自然科学基金(2018JJA 170090)。

摘　　要：针对数字图像在网络传输中的安全性和可靠性问题,提出了一种由一维Logistic和Sine映射耦合而来的新的二维混沌映射(2D-SLSM),进而提出了一种基于2D-SLSM的彩色图像加密算法(SLSM-IEA)。首先使用Arnold变换分别对彩色图像的R、G、B分量进行位置混淆,接着将其旋转不同角度后水平组合成一个二维矩阵,最后应用一种改进的置乱和扩散结构,对图像信息进行混淆和扩散,循环移位和像素异或操作穿插其中,从而确保更好的加密效果。结果表明,上述加密算法的密钥空间大且敏感性强,比特变化率在整个范围内都逼近50%,加密过的图像相邻像素相关性被极大减弱,近似于0,且具有一定抵抗数据丢失和差分攻击能力,能够实现高安全的图像加密处理。Aiming at the security and reliability of digital images in network transmission problem,this paper proposed a new two-dimensional chaotic map(2D-SLSM)coupled from one-dimensional Logistic and Sine map,and then proposed a color image encryption algorithm based on 2D-SLSM(SLSM-IEA).Firstly,the R,G and B components of the color image were obfuscated by using Arnold transform and rotated at different angles,then the three components were converted into a two-dimensional matrix through horizontal connection.Finally,the image information was confused and diffused completely after two rounds of improved scrambling and diffusion structure.Cyclic shift and pixels XOR operation were inserted into the encryption system to ensure better encryption effect.The results show that the key of the encryption algorithm has a large space and strong sensitivity,and the bit change rate is close to 50%in the whole range.The correlation between adjacent pixels of the encrypted image is greatly weakened,which is close to O.Moreover,it has the strong ability to resist data loss and differential attacks to a certain extent,and can realize high security image encryption processing.

关 键 词：混沌 加密 置乱 扩散 

分 类 号：TP317.4[自动化与计算机技术—计算机软件与理论]