数字图像非线性加密算法研究
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摘要
随着多媒体技术的快速发展,数字图像获取越来越容易,其应用也逐渐渗透进了人们的生活、娱乐、工作、学习的方方面面,其重要性也越来越被国家、政府、工业界、科学家以及个人所注意和重视。INTERNET和无线网络的全球普及,数字图像在网间分享传输变得越来越快捷。但随之而来的就是人们不得不对图像所蕴含的丰富信息提高警惕,因为各种针对图像信息的非授权窃取、数据篡改、数据增删、病毒攻击等,给数字图像传输和使用造成很大的麻烦。因此,如何保证数字图像的信息安全,成为当今图像处理的研究热点。
本文首先简要介绍非线性系统的定义、主要研究对象,重点介绍了混沌系统的定义、基本特性和研究的判据与准则,为后文准备必要的非线性系统特别是混沌系统方面的基础知识。
接着论文综述了一般数字图像加密理论与技术。从中国古代密写术开始引出了现代密码学和密码系统结构,比较了分组密码体制和序列密码体制的优缺点,并简练归纳了密码分析的5个方面。对于常用数字图像加密技术的原理也做了简要评价,对衡量数字图像加密技术的性能要求做了介绍。作为本文的重点——非线性数字图像加密技术,列举了几种常用的非线性数字图像加密算法,为后文对有关算法的改进和分析做了铺垫。
文中对由Masuda和Aihara提出的基于离散的斜帐篷映射的加密系统进行了详细的密码学分析,提出了一种基于密钥对扩散和置换的离散斜帐篷映射图像加密算法。通过实验测试表明,该算法实现简单有效,加密速度较快,具有一定的实用价值。
在详细介绍Arnold映射的混沌特性的基础上,文中将Arnold映射推广到了高维矩阵变换的情形。由于图像的置乱加密的安全性依赖于矩阵变换的周期,文中深入分析了T矩阵变换的周期问题,在此基础上提出基于矩阵变换的两类图像加密算法。重点对第二类图像加密算法进行了可行性分析、统计分析和差分分析,结果表明该图像加密系统有较高的安全性,具有一定的应用前景。
With the rapid development of multimedia technology, the acquisition of digital image is easier. The application of digital image seeped into people's living, entertainment, work, study and so on, besides, the importance of it has gotten more and more attentions from the nation, the government, the industry and scientists as well as individuals. As the global popularity of INTERNET and wireless network, the sharing and transmission of digital image online become more fast, with which, however, people have to remain vigilant when faced with the rich information of these images, because kinds of unauthorized theft, data tampering, data deletion and virus attack to image information cause a big trouble on the use and transmission of digital image. Therefore, that how to ensure the information security of digital image becomes the hotspot in the research of image processing. This paper focuses on digital image nonlinear encryption technology and the improvement of two existing types of encryption algorithm.
This paper will briefly introduce the definition of nonlinear systems and the main study object. It then will focus on the definition of chaotic systems, the basic characteristics as well as the criteria and guidelines of the study, which offers the basic knowledge for necessary nonlinear systems, especially chaotic systems in later.
Then the thesis reviews the general theory and technology of digital image encryption. From the Ancient Chinese secret writing technique to the modern cryptography and password system structure, it compares the advantages and disadvantages of group password system and sequence password system, besides, it makes a brief summarize to the five aspects of password analysis. At the same time, this thesis makes a brief commentary on the common principles of digital image encryption technology and does an introduction to the requirements of measuring digital image encryption technology’s performance. About the key point of this paper——nonlinear digital image encryption technology, it lists some common nonlinear digital image encryption algorithm, preparing for the later improvement and analysis of the relevant algorithms.
Based on the cryptanalysis of the discrete skew tent map's encryption system that proposed by Masuda and Aihara, this paper give a spread and replacement of discrete tent map image encryption algorithm about key pair. Through experimental tests show that the encryption algorithm is simple, effective and fast, has some practical value.
This paper also detailed describes the chaotic character of Arnold map, extends Arnold map to the high dimensional case. Because the image scrambling encryption security relies on matrix transformation cycles, the paper discusses T-matrix transformation cycle in depth, then put forward two types of matrix transformation based image encryption algorithm. Focus on the second image encryption algorithm feasibility analysis, statistical analysis and difference analysis, the results show that the image encryption system has high security, with some prospect.
本文首先简要介绍非线性系统的定义、主要研究对象,重点介绍了混沌系统的定义、基本特性和研究的判据与准则,为后文准备必要的非线性系统特别是混沌系统方面的基础知识。
接着论文综述了一般数字图像加密理论与技术。从中国古代密写术开始引出了现代密码学和密码系统结构,比较了分组密码体制和序列密码体制的优缺点,并简练归纳了密码分析的5个方面。对于常用数字图像加密技术的原理也做了简要评价,对衡量数字图像加密技术的性能要求做了介绍。作为本文的重点——非线性数字图像加密技术,列举了几种常用的非线性数字图像加密算法,为后文对有关算法的改进和分析做了铺垫。
文中对由Masuda和Aihara提出的基于离散的斜帐篷映射的加密系统进行了详细的密码学分析,提出了一种基于密钥对扩散和置换的离散斜帐篷映射图像加密算法。通过实验测试表明,该算法实现简单有效,加密速度较快,具有一定的实用价值。
在详细介绍Arnold映射的混沌特性的基础上,文中将Arnold映射推广到了高维矩阵变换的情形。由于图像的置乱加密的安全性依赖于矩阵变换的周期,文中深入分析了T矩阵变换的周期问题,在此基础上提出基于矩阵变换的两类图像加密算法。重点对第二类图像加密算法进行了可行性分析、统计分析和差分分析,结果表明该图像加密系统有较高的安全性,具有一定的应用前景。
With the rapid development of multimedia technology, the acquisition of digital image is easier. The application of digital image seeped into people's living, entertainment, work, study and so on, besides, the importance of it has gotten more and more attentions from the nation, the government, the industry and scientists as well as individuals. As the global popularity of INTERNET and wireless network, the sharing and transmission of digital image online become more fast, with which, however, people have to remain vigilant when faced with the rich information of these images, because kinds of unauthorized theft, data tampering, data deletion and virus attack to image information cause a big trouble on the use and transmission of digital image. Therefore, that how to ensure the information security of digital image becomes the hotspot in the research of image processing. This paper focuses on digital image nonlinear encryption technology and the improvement of two existing types of encryption algorithm.
This paper will briefly introduce the definition of nonlinear systems and the main study object. It then will focus on the definition of chaotic systems, the basic characteristics as well as the criteria and guidelines of the study, which offers the basic knowledge for necessary nonlinear systems, especially chaotic systems in later.
Then the thesis reviews the general theory and technology of digital image encryption. From the Ancient Chinese secret writing technique to the modern cryptography and password system structure, it compares the advantages and disadvantages of group password system and sequence password system, besides, it makes a brief summarize to the five aspects of password analysis. At the same time, this thesis makes a brief commentary on the common principles of digital image encryption technology and does an introduction to the requirements of measuring digital image encryption technology’s performance. About the key point of this paper——nonlinear digital image encryption technology, it lists some common nonlinear digital image encryption algorithm, preparing for the later improvement and analysis of the relevant algorithms.
Based on the cryptanalysis of the discrete skew tent map's encryption system that proposed by Masuda and Aihara, this paper give a spread and replacement of discrete tent map image encryption algorithm about key pair. Through experimental tests show that the encryption algorithm is simple, effective and fast, has some practical value.
This paper also detailed describes the chaotic character of Arnold map, extends Arnold map to the high dimensional case. Because the image scrambling encryption security relies on matrix transformation cycles, the paper discusses T-matrix transformation cycle in depth, then put forward two types of matrix transformation based image encryption algorithm. Focus on the second image encryption algorithm feasibility analysis, statistical analysis and difference analysis, the results show that the image encryption system has high security, with some prospect.
引文
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[3] G. H. Situ, J. J. Zhang. Image hiding with computer-generated phase codes for optical[J]. Optics Communications, 2005, 245(1-6): 55-65
[4] H. P. Alexandre, K. Rabab, Ward And Ioannis Pitas. Wavelet packets-based digital watermarking for image verification and authentication[J]. Signal Processing, 2003, 83(10): 2117-2132
[5] Behrouz A Forouzan.贾军保,马振晗.密码学与网络安全[M].清华大学出版社, 2009: 17-431
[6]范永清.密码学及其在现代通讯中的应用[J].信息网络安全, 2009, (3): 35-39
[7]郑世慧.现代密码算法研究[J].中兴通讯技术, 2007, 13(5): 1-5
[8]鲍官军,计时鸣,等.魔方变换及其在数字图像加密中的应用[J].计算机应用, 2002, 22(11): 23-25
[9]宁福旺.数字图像加密技术在邮政电子政务中的应用研究[J].邮政研究, 2003, 19(5): 26-27
[10]徐耀群,张莉.混沌序列在图像加密中的应用[J].哈尔滨商业大学学报:自然科学版, 2003, (6): 628-630
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[12]周焕芹.小波变换在数字图像加密中的应用[J].河南科学, 2010, 28(7): 817-820
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