一种基于Arnold变换的数字图像加密算法  

An algorithm of digital image encryption based on Arnold transformation

作　　者：任洪娥[1] 尚振伟[1] 张健[1] 

机构地区：[1]东北林业大学信息与计算机工程学院,哈尔滨150040

出　　处：《光学技术》2009年第3期384-387,390,共5页Optical Technique

基　　金：国家自然科学基金(30771679);国家"948"项目(2005-4-62)

摘　　要：提出了一种基于Arnold变换的均匀数字图像加密算法。将传统的Arnold变换进行改进,加入两个参数a,b,并利用Logistic映射产生参数序列。将数字图像分块,对每个图像块分别进行参数不同的Arnold变换,由此实现对图像的位置置乱。另外将Arnold变换推广至多维,用于图像的灰度置乱,从而构造一个位置置乱和灰度置乱相结合的图像加密算法。实验仿真结果表明该算法能够取得很好的加密效果,且具有密钥空间大,密钥敏感性强,以及能够抵御统计和已知明文攻击等优点。基本满足图像加密的有效性和安全性要求。A digital image encryption algorithm is presented based on Arnold transformation. The traditional Arnold trans-formation is improved by adding two parameters a and b, furthermore the logistic map is used to generate the parameter sequences. The digital image is blocked and the Arnold transformation with different parameters is carried out on each image block of the digital image, thus image location scrambling is achieved. In addition the Arnold transformation is extended to multi-dimensional then used on the image gray scrambling, so as to construct an algorithm combine both the position scrambling and the gray scrambling. The results of simulation show that this algorithm can achieve good image encryption effect. And it has a large key space, key sensitivity and many other advantages such as withstand statistical and known expressly attack. It basically meets the effectiveness and security requirements of image encryption.

关 键 词：ARNOLD变换 LOGISTIC映射 数字图像加密 

分 类 号：TP301.6[自动化与计算机技术—计算机系统结构]