摘要
为解决图像信息安全问题,提出了一种三角混沌映射并将其文章用于图像加密研究。首先对三角混沌映射进行了定义,其次三角混沌映射产生的混沌序列量化为离散二值序列,分析该混沌序列对初始条件的敏感性、频数检验、平衡度分析,以及Lyapunov指数等指标,最后将其应用于图像加密。实验结果表明,该三角混沌映射具有良好的混沌特性,将该混沌映射和密文交错的图像运用加密方法相结合,能获得巨大的密钥空间和较高的安全性,其加密后图像相邻像素所对应的灰度共生矩阵具有良好的随机特性。
In order to improve the security problems of image encryption information, a new kind of chaotic map is proposed by combining a triangular chaotic map. It is applied in image encryption. Firstly, triangle Chaos mapping is defined. Secondly, the chaotic sequence generated by triangular chaotic map is quantified into discrete binary sequence. Thirdly, the indexes that include the sensitivity of initial conditions, inspec- tion frequency, balance analysis, and the Lyapunov exponent, are applied to analyzing the random proper- ties of binary sequence. I.astly, it is applied in image encryption research. Experimental results show that the triangular chaotic maps have a good chaotic characteristic. It has not only the huge key space for image encryption, but also the encryption method combining the triangular chaotic map with cipher diffusion in crisscross pattern can get a high-security encryption results. Analyzing the encrypted image with gray level co-occurrence matrix （GI.CM）, it is showed that the encrypted image has good randomness.
基金
国家自然科学基金项目(61073106)
陕西省教育厅自然科学基金项目(2010JK816)
关键词
信息安全
三角混沌
图像加密
information security
triangle chaos
image encryption
