摘要： 提出了基于多维混沌系统同时对图像像素位置置乱和像素值加密的新算法。利用广义Arnold映射对图像像素位置进行置乱；利用三维Liu混沌系统产生的混沌序列得到整数密钥序列，对置乱图像像素值逐个进行加密。实验表明这种加密算法具有密钥空间大、安全性高的优越性，加密图像像素值具有类随机均匀分布特性，相邻像素具有零相关特性。

关键词: 混沌理论, 图像加密, 广义Arnold映射, Liu混沌系统

Abstract: This paper presents a new chaotic image encryption algorithm which shuffling the positions and changing the grey values of image pixels are combined. Firstly, the general Arnold map is used to shuffle the positions of the image pixels in the spatial-domain. Then the sequence values of the Liu chaotic system is adopted to generate integer keys for the grayscale image encryption, and the shuffled image is encrypted by the integer keys pixel by pixel. The experimental results demonstrate that the image encryption algorithm shows advantages of large key space, high-level security, and the ciphered image has random-like distribution behavior of grey values, adjacent pixels have zero co-correlation properties.

Key words: Chaos theory, Image encryption, General Arnold map, Liu chaotic system