[1]李晴晴,杭后俊,尹天乐.基于Bezier曲线的数字图像加密研究[J].计算机技术与发展,2019,29(04):91-94.[doi:10. 3969 / j. issn. 1673-629X. 2019. 04. 019]
　LI Qing-qing,HANG Hou-jun,YIN Tian-le.Research on Digital Image Encryption Based on Bezier Curve[J].,2019,29(04):91-94.[doi:10. 3969 / j. issn. 1673-629X. 2019. 04. 019]
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基于Bezier曲线的数字图像加密研究()
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《计算机技术与发展》[ISSN:1006-6977/CN:61-1281/TN]

卷:
29
期数:
2019年04期
页码:
91-94
栏目:
安全与防范
出版日期:
2019-04-10

文章信息/Info

Title:
Research on Digital Image Encryption Based on Bezier Curve
文章编号:
1673-629X(2019)04-0091-04
作者:
李晴晴1; 2; 杭后俊1; 2; 尹天乐1
1. 安徽师范大学 计算机与信息学院,安徽 芜湖 241000;2. 网络与信息安全安徽省重点实验室,安徽 芜湖 241000
Author(s):
LI Qing-qing1; 2; HANG Hou-jun1; 2; YIN Tian-le1
1. School of Computer and Information,Anhui Normal University,Wuhu 241000,China;2. Anhui Provincial Key Laboratory of Network and Information Security,Wuhu 241000,China
关键词:
混沌系统; 有理Bezier曲线; 权因子; 加密因子
Keywords:
chaos system; rational Bezier curve; weight; encryption factor
分类号:
TP309. 7
DOI:
10. 3969 / j. issn. 1673-629X. 2019. 04. 019
摘要:
分析了数字图像加密在国内外的发展现状和面临的问题,在此基础上深入讨论并提出了一种基于有理二次Bezier曲线的数字图像加密算法。根据该曲线内权因子的特殊性质给出了一个有理映射函数,经计算当权因子在一定范围内取值时,该映射具有正的Lyapunov指数,即具有混沌性质。随后利用其混沌特性生成混沌序列进而构造加密因子与像素灰度进行运算并置换,最终得到加密图像。该算法不仅保留了一维混沌系统形式简单的特点,而且具有加密解密效率高的优点。通过对直方图、相邻像素之间的相关性及信息熵等进行的详细分析可以看出,该算法安全性高,加密图像的灰度直方图较为均匀,加密图像中相邻像素之间的相关性强度显著降低。仿真结果表明该算法取得了较好的加密效果。
Abstract:
We analyze the development status and problems of digital image encryption at home and abroad. On the basis,we discuss in depth and propose a digital image encryption algorithm based on rational quadratic Bezier curves. According to the special property of theinner weight factor,a rational mapping function is given. When the weight factor is evaluated in a certain range,the mapping has a positive Lyapunov exponent,that is,it has the property of chaos. Then,the chaotic sequence is generated by the mapping function. The pixelgray values are replaced by the encryption factor,and the encrypted image is obtained finally. The algorithm proposed not only maintainsthe virtue of simple form,but also has high efficiency because of the encryption and decryption algorithm both are the same one. Finally,the gray histogram and the correlation between adjacent pixels and the entropy are analyzed in detail. The proposed algorithm has high security. The gray histogram of the encrypted image is more uniform,and the intensity of the correlation between adjacent pixels in the encrypted image is significantly reduced. The simulation shows that the proposed algorithm achieves better encryption effect.

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更新日期/Last Update: 2019-04-10