| 基于一类随机矩阵的数字图像置乱新方法 |
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| 引用本文： | 陈燕梅,张胜元. 基于一类随机矩阵的数字图像置乱新方法[J]. 江南大学学报(自然科学版), 2006, 5(1): 6-9 |
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| 作者姓名： | 陈燕梅 张胜元 |
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| 作者单位： | 福建师范大学,数学与计算机科学学院,福建,福州,350007 |
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| 基金项目： | 国家自然科学基金;福建省泉州市科技重点项目 |
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| 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.
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| 关 键 词： | 数字图像 模n矩阵 模n矩阵的逆矩阵 数字图像置乱 |
| 文章编号： | 1671-7147（2006）01-0006-04 |
| 收稿时间： | 2005-01-07 |
| 修稿时间： | 2005-07-13 |
A Novel Digital Image Scrambling Method Based on A Class of Stochastic Matrices |
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| CHEN Yan-mei,ZHANG Sheng-yuan. A Novel Digital Image Scrambling Method Based on A Class of Stochastic Matrices[J]. Journal of Southern Yangtze University:Natural Science Edition, 2006, 5(1): 6-9 |
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| Authors: | CHEN Yan-mei ZHANG Sheng-yuan |
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| Affiliation: | School of Mathematics and Computer Science, Fujian Normal University, Fuzhou 350007, China |
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| Abstract: | Faced with the security problem of image information.The paper presents a digital image scrambling method which uses fixed 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. |
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| Keywords: | digital image modal n matrix inverse matrix of modal n matrix digital image scrambling |
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