基于三维亚仿射变换的数字图像置乱技术  

Digital image scrambling technology based on three dimensional sub-affine transformation

作　　者：邹玮刚[1] 陈沛云[2] 黄江燕[1] 

机构地区：[1]江西理工大学理学院,江西赣州341000 [2]江西理工大学建筑与测绘工程学院,江西赣州341000

出　　处：《计算机应用》2012年第9期2595-2598,2602,共5页journal of Computer Applications

基　　金：江西省自然科学基金资助项目(2009GQS0047)

摘　　要：为了提高数字图像信息隐藏的安全性和灵活性,利用亚仿射变换的原理设计了一种新的基于三维亚仿射变换的图像加密算法。该算法通过分析三维亚仿射变换的约束条件,根据变量之间的联系和随机性,给出了一种三维亚仿射变换的快速构造方法。在色彩空间中对每个像素点的三个色彩分量选择不同的方式进行变换,达到图像置乱的效果;对其周期性进行了研究,并提出了奇异点与伪周期的概念。经实验验证,该算法置乱效果良好,具有密钥空间较大、加密灵活、扩散性和扰乱性比较理想、安全性较高的优点。In order to improve the security and flexibility of digital image information hiding, adopting the theory of subaffine transformation, a new image encryption algorithm based on three dimensional sub-affine transformation was designed. By analyzing the constraints of three dimensional sub-affine transformation, according to the relation between variables and randomness of variables, a rapid construction method of three dimensional sub-affine transformation was given. Three color components of each pixel in the color space chose different ways to transform for achieving image scrambling, and its periodicity was discussed, for proposing the concept of singularity point and fake period. The experimental analysis shows that the algorithm has good effect of scrambling, larger key space, flexible encryption, and high security. And its diffusion and disturbance are ideal.

关 键 词：信息安全 数字图像置乱 三维亚仿射变换 周期性 奇异点 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]