摘要
Arnold变换因其具有周期性,在图像加密方面得到了广泛的应用.但在解密过程中,若要利用其周期性,则显得很费时,因此提出了一种新的Arnold反变换算法.该算法通过求解方程组来求得反变换.在此基础上,把二维Arnold变换用在正方形图像的情形推广到一般的矩形图像,即图像矩阵不是方阵的情况,扩大了其在图像加密中的应用.同时,从理论上又把二维Arnold反变换推广到了m维Arnold反变换.
Arnold transformation is applied widely in digital image encryption because of its periodicity. But if its periodicity is used in the course of image decryption, it will waste lots of time. So this paper offers a new anti- Arnold transformation algorithm. The algorithm gets anti-Arnold transformation by solving equation groups. The application of Arnold transformation from square image to rectangle image is generalized and its application on image encryption expanded. At the same time, the anti-Arnold transformation from 2-dimension to m-dimension is also generalized.
出处
《软件学报》
EI
CSCD
北大核心
2004年第10期1558-1564,共7页
Journal of Software
基金
国家自然科学基金~~
关键词
数字图像
图像加密
图像置乱
AMOLD变换
数字水印
digital image
image encryption
image scramble
Arnold transformation
digital watermark
