基于分形混沌系统的多图像加密算法  

Multi-Image Encryption Algorithm Based on Fractal Chaotic System

作　　者：高曼钰 叶瑞松[1] 

机构地区：[1]汕头大学数学系,广东 汕头

出　　处：《计算机科学与应用》2024年第4期83-104,共23页Computer Science and Application

摘　　要：构造了一个迭代函数系统,生成充满整个单位正方形的填充曲线。由迭代函数系统生成一个单位正方形上的分形混沌系统,并从混沌系统的轨迹、李亚普诺夫指数和0~1测试等方面验证了该系统具有优良的混沌性能。基于构造的二维分形混沌系统,提出了密钥相关的Z字形变换,并结合自适应Arnold变换和有限域运算设计了一个针对多个灰度图像的混沌图像加密算法,详细分析了该加密算法的安全性。An iterated function system is constructed to generate the filling curve on the unit square. One fractal chaotic system is derived by the iterated function system on the unit square. The chaotic natures of the fractal chaotic system are proved by the orbits, the Lyapunov exponents and 0~1 test, etc. Based on the constructed two-dimensional chaotic system, a chaotic image encryption algorithm for multiple gray images is designed by key-determined zigzag transformation, Arnold transformation and finite field operations. The security and performance of the proposed image encryption algorithm is analyzed in detail.

关 键 词：迭代函数系统 分形 混沌 填充曲线 Z字形变换 多图像加密 

分 类 号：TP3[自动化与计算机技术—计算机科学与技术]