摘要
针对大多数图像置乱算法置乱速度不理想、置乱后图像直方图不变等问题,可以通过引入三维Rossler混沌变换解决以上研究难题.运用Rossler混沌变换产生Rossler随机数序列构建三角矩阵.利用三角矩阵相乘非奇异矩阵得到的还是三角矩阵,其矩阵的逆也是三角矩阵的原理来实现置乱.运用Matlab软件对典型的Arnold算法、抽样置乱算法与本算法在置乱速度、置乱主观效果方面进行了对比实验.通过对实验结果的定性和定量分析得出,本算法的置乱速度和置乱效果优于其他两个算法.利用Rossler混沌变换置乱可以对图像置乱效果提供安全性,同时该算法实现简单、计算量小,可以快速达到理想置乱的效果.
For most of image scrambling algorithms,there exist some problems,such as scrambling speed is not ideal and the histogram after scrambling is invariant.As a potential solution,an algorithm based on Rossler chaotic transformation is considered to overcome the above-mentioned problems.We used Rossler chaotic transformation to generate Rossler random number sequences which can construct the triangular matrix.When the triangular matrix multiply the non singular matrix,the result and the inverse of the matrix are also triangular matrix.According to this theory,we implemented the scrambling algorithm.By Matlab simulation and experimental analysis,we compared Arnold algorithm with sampling scrambling algorithm and Rossler algorithm in scrambling speed and scrambling quality.Through qualitative and quantitative analysis of the experimental results,the algorithm scrambling is better than the others.Rossler chaotic transformation can improve the security of the algorithm and has the advantages of simple realization and minor calculation,so it can achieve the desired results quickly.
出处
《辽宁师范大学学报（自然科学版）》
CAS
2017年第1期41-46,共6页
Journal of Liaoning Normal University:Natural Science Edition
基金
辽宁省教育科学"十二五"规划项目(JG14DB451)
