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二维非等长图像置乱变换
引用本文:邵利平,覃征,高洪江,衡星辰. 二维非等长图像置乱变换[J]. 电子学报, 2007, 35(7): 1290-1294
作者姓名:邵利平  覃征  高洪江  衡星辰
作者单位:西安交通大学电子商务研究所,陕西西安,710049;西安交通大学电子商务研究所,陕西西安,710049;清华大学软件学院,北京,100084;西安交通大学电子商务研究所,陕西西安,710049;鲁东大学计算机科学与技术学院,山东烟台,264025
基金项目:国家重点基础研究发展计划(973计划),国防科技预研项目
摘    要:传统的2维图像置乱变换一般用于正方形图像处理,对宽高不等的矩形图像,需进行正方形扩展,或使用高维置乱变换阵置乱.本文对此问题做了改进,提出了一种新颖的2维非等长图像置乱变换,给出了周期存在判据,用以选择合适的置乱系数,使得在不增加额外存储空间和计算代价的基础上,可用于非等长图像置乱,并且存在可恢复周期.实验表明所提方法的有效性和可行性.

关 键 词:图像置乱变换  非等长图像  Arnold变换  图像加密
文章编号:0372-2112(2007)07-1290-05
收稿时间:2006-05-15
修稿时间:2006-05-15

2-Dimension Non Equilateral Image Scrambling Transformation
SHAO Li-ping,QIN Zheng,GAO Hong-jiang,HENG Xing-chen. 2-Dimension Non Equilateral Image Scrambling Transformation[J]. Acta Electronica Sinica, 2007, 35(7): 1290-1294
Authors:SHAO Li-ping  QIN Zheng  GAO Hong-jiang  HENG Xing-chen
Affiliation:1. Research Institute of Electronic Commerce,Xi’an Jiaotong University,Xi’an,Shaanxi 710049,China;2. School of Software,Tsinghua University,Beijing 100084,China;3. School of Computer Science and Technology,Ludong University,Yantai,Shandong 264025,China
Abstract:The classic 2-dimension image scrambling is used in the equilateral image,but for the non equilateral image,it has to be expanded into equilateral image or scrambled by the high-dimension scrambling transformation matrix.To solve the problem,in this paper,a novel 2-dimension non equilateral image scrambling transformation is proposed and the periodicity existence judgment criteria are presented.Furthermore,the proper scrambling matrix coefficients are selected by the judgment criteria so that the expanded 2-dimension scrambling transformation can be used to scramble non equilateral image without extra space and cost and the recoverable periodicity exists.The experiments show the validity and feasibility of proposed scrambling transformation.
Keywords:image scrambling transformation  non equilateral image  Arnold transformation  image encryption
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