一种新的基于A型Arnold变换的数字图像置乱算法  

A new digital image scrambling algorithm based on A-Arnold transformation matrix

作　　者：关健[1] 丁振亚[1] 段雪峰[1] 

机构地区：[1]桂林电子科技大学数学与计算科学学院,广西桂林541004

出　　处：《桂林电子科技大学学报》2013年第2期152-154,共3页Journal of Guilin University of Electronic Technology

基　　金：国家自然科学基金(11101100);广西自然科学基金(2012GXNSFBA053006)

摘　　要：基于矩阵运算的图像置乱算法具有容易生成、对初始条件敏感以及白噪声的统计特性良好等性质,但普遍存在加密强度不够、密钥空间小、留有轮廓等问题,基于A型Arnold变换矩阵,构造了一种新的数字图像置乱算法。该算法通过对3个密钥的控制,使得置乱变换矩阵具有较大的随机性。同时,该算法还具备全图像范围内的攻击扩散效果,当置乱图像受到攻击后,将无法还原成原图像,从而有效地阻止了置乱图像的暴力还原。An image scrambling algorithm based on matrix is sensitive to initial conditions and easily generated, it also has good statistic characteristics of white noise, but the hashing algorithm exists generally insufficient strength encryption, small key space and contour, etc. A new digital image scrambling method based on A-Arnold transformation matrix is constructed. The method makes the scrambling transformation matrix strong randomness through controlling the three keys. And the method has the diffusion effect of attacks within the scope of the whole image, which means that the scrambling image can not be reverted when it is attacked. It can effectively prevent the scrambling image being reverted violently.

关 键 词：数字图像 置乱算法 A型Arnold变换矩阵 

分 类 号：TP309.7[自动化与计算机技术—计算机系统结构]