Arnold变换及其逆变换研究

摘要

Arnold变换由于具有周期性，被广泛地应用于图像加密．但在利用其周期性进行解密时，有时会比较费时，因此提出了一种Arnold逆变换算法；在此基础上，将其拓展到非方阵图像，即一般的矩形图像上，扩展了其在图像加密上的应用范围；最后在理论上将二维推广到n维Arnold变换及逆变换．%Arnold transform, due to its periodicity, is widely used in image encryption, however, it is quite time-consuming when the periodicity of the transform is used in deeryption, as a result, anti-Arnold transform algorithm is presented, and based on this, the algorithm is extended into non-square matrix image, general rectangular image, therefore, its application range in image eneryption is expanded. Finally, 2-dimensional Arnold transform is extended to n-dimensional Arnold transform and anti-Arnold transform in theory.