分布均匀性的图像置乱衡量方法  

Image scrambling evaluation method of uniform distribution

作　　者：王远志[1] 张歌凌[2] 张健[3] 孙立镌[3] 

机构地区：[1]安庆师范学院计算机系,安徽安庆246011 [2]黄河水利职业技术学院管理系,河南开封475000 [3]哈尔滨理工大学计算机学院,哈尔滨150080

出　　处：《计算机工程与应用》2009年第34期155-158,共4页Computer Engineering and Applications

基　　金：国家自然科学基金No.60173055;安徽省自然科学基金No.KJ2008A18Z;安徽省教育厅青年资助基金No.2006jql208~~

摘　　要：尽管越来越多的置乱算法被提出,如Arnoldcat变换、Hilbert变换、幻方变换和基于混沌置乱变换等,但是针对这些置乱算法的衡量方法却很少,现有的方法都是基于某一种置乱变化而提出的,通用性不强。从图像置乱均匀分布的角度出发,定义了理想置乱状态的模型,并根据理想状态的特点提出了一种图像置乱衡量方法,通过比较置乱效果与理想状态的偏离度来评价置乱效果的好坏。对Arnoldcat变换进行了仿真分析,实验结果显示该方法能准确衡量图像的置乱程度,与人类视觉相吻合。并指出对256×256的图像来说,8×8,16×16的分块可以更准确地衡量置乱效果。Although more and more scrambling algorithms are presented,such as Arnold cat transformation,magic square transformation,Hilbert transformation and scrambling based on chaos,they lack a method to evaluate the image scrambling degree. Existing methods aim at a certain scrambling transformation,and the versatility is not better.From uniform distribution,it defines an ideal scrambling model,and according to the character of ideal scrambling,an image scrambling evaluation method is presented.Through comparing the deviation of scrambling degree and ideal state,the scrambling effect can be estimated accurately. Apply Matlab to the simulation experiment of Arnold cat transformation,the result indicates that the method can evaluate image scrambling degree well,and it accordes with people＇s vision too.To an image of 256×256,the block of 8×8,16×16 can get the more effect.

关 键 词：图像置乱 分布均匀 衡量 ARNOLD cat变换 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]