基于Arnold变换的图像置乱及其恢复

Image scrambling and restoring algorithm based on Arnold transform

在利用Arnold变换的周期性来恢复置乱图像中,针对变换周期与图像大小不成比例的问题,通过对Arnold正变换进行推导证明,得出一种Arnold反变换的求解算法.算法能够随时从置乱图像中快速恢复出原始图像,而且无需计算该图像的周期.最后通过实验证明了算法的可靠性.

In the course of using Arnold transform＇s periodicity to restore the scrambling, the problem was encountered that its periodicity was not in proportion to the image＇s size. Through calculating with Arnold transform, the algorithm of anti-Arnold transform was found out, which can restore the source image fast from the scrambling image; what＇s more,we need not calculate the transform periodicity of the source image and finally testify the algorithm reliable according to the experiment.