摘要
以循环矩阵为基础,提出一种新的图像置乱算法.该算法借助数学知识,从空间位置上均匀地打乱图像像素的位置,置乱度高且偏差小.通过对循环矩阵方法、约瑟夫遍历方法和混沌方法的数值比较实验,表明该算法具有实现简单、操作容易、稳定性高、效果更佳等优势.在不公开密钥s和t的情况下,既使是公开算法,对加密后的图像也是难以破解的.算法可用于任意大小的方阵图像,也可以直接推广到彩色图像,但不适合于非方阵图像.
Presenting a new image scrambling algorithm based on circulant matrix. The algorithm throwt equably the po sition of image pixel into confusion from space position and has high degree of scrambling with little warp. The algorithm shows many superiority such as carrying out simply, operating easily, high stability, and better effect through the corn parison of numerical experiments among the circulant matrix method, Josephus traversing and chaos method. It is hard to uncoil the encrypted image when the keys s and t are not open even if the algorithm is open. The algorithm is suitable to any size of square matrix image, and also can be extended to color image, but it do not suit for the non-square matrix image.
出处
《华侨大学学报（自然科学版）》
CAS
北大核心
2008年第2期203-207,共5页
Journal of Huaqiao University(Natural Science)
基金
国家高技术研究发展计划(863)项目(2006AA12Z223)
关键词
图像置乱
循环矩阵
约瑟夫遍历
混沌算法
image scrambling
circulant matrix
Josephus traversing
chaos algorithm
