基于位平面和Lorenz混沌系统的灰度图像加密算法  

Gray Image Encryption Algorithm Based on Bit-Plane and Lorenz Chaotic System

作　　者：李兰馨 卢城霖 李雪[1] 周蝶 宋少燚 雷升琼 高仕龙[1] 

机构地区：[1]乐山师范学院数理学院,四川 乐山 [2]乐山师范学院电子信息与人工智能学院,四川 乐山

出　　处：《应用数学进展》2022年第9期6835-6842,共8页Advances in Applied Mathematics

摘　　要：本文提出了一种基于位平面和Lorenz混沌系统的灰度图像加密算法。首先利用置乱广义Gray码对图像进行置乱,再对置乱图像进行位平面分解并转换为两组二值向量,并与Lorenz混沌系统生成的两组序列按位异或的方式进行加密运算得到加密图像。直方图分析、信息熵分析以及相关性分析等实验结果表明本算法具有较好的加密性能,具有一定的抗统计攻击的能力。In this paper, a grayscale image encryption algorithm based on bit-plane and Lorenz chaotic system is introduced. Firstly, the image is scrambled by using the scrambled generalized Gray code, and then the scrambled image is decomposed into bit-planes and converted into two sets of binary vec-tors. Finally, the encrypted image is obtained by bitwise XOR operation between the binary vector and the two sets of sequences generated by the Lorenz chaotic system. The experimental results of histogram analysis, information entropy analysis and correlation analysis show that the algorithm has better encryption performance and certain ability to resist statistical attacks.

关 键 词：位平面 LORENZ混沌系统 置乱广义Gray码 图像加密 

分 类 号：TP309.7[自动化与计算机技术—计算机系统结构]