基于一类随机矩阵的数字图像置乱新方法  

A Novel Digital Image Scrambling Method Based on A Class of Stochastic Matrices

作　　者：陈燕梅[1] 张胜元[1] 

机构地区：[1]福建师范大学数学与计算机科学学院,福建福州350007

出　　处：《江南大学学报（自然科学版）》2006年第1期6-9,共4页Joural of Jiangnan University (Natural Science Edition)　

基　　金：国家自然科学基金(天元基金)项目(10226028);福建省泉州市科技重点项目(2004g27)

摘　　要：以图像信息安全问题为背景,改进了用形式固定的矩阵对数字图像进行置乱的方法,提出密钥控制下利用一类随机的上(下)三角可逆矩阵对数字图像进行置乱与恢复的新方法.采用此方法,使图像的置乱效果与置乱次数无关且密钥空间足够大,而且解密是加密的简单逆过程.结果表明:在图像信息隐藏中,这种方法能达到较好的加密与解密效果,易于实现并具有良好的应用价值.Faced with the security problem image scrambling method which uses fixed of image information. The paper presents a digital form matrices restores digital images by means of a class of stochastic upper or lower triangular invertible matrices under the control of secret key. Adopting this method, the effects of image scrambling have no relations with the scrambling times; the space of secret key is large enough; decryption is the simple reversed process of encryption. The results show that in image information hiding this method can reach preferable effects of encryption and decryption. The new method is easy to realize and has application value.

关 键 词：数字图像 模n矩阵 横n矩阵的逆矩阵 数字图像置乱 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]