摘要:
本文提出了一种基于双Logistic混沌映射的数字图像加密方案.在双混沌数字图像加密方案中主要利用了两级Logistic混沌映射来进行伪随机序列数的创建和生成,并通过两次创建过程来得到图像扩散和置乱的随机序列数.在加密和解密处理过程中,双混沌数字图像加密方案采用的密钥为一级Logistic混沌映射的计算参数和二级Logistic混沌映射的初值,加密过程采用先扩散后置乱的顺序进行,解密过程按照相反顺序进行处理.通过对加密方案在.NET平台下进行试验仿真,可以得到方案的加密效果是比较好的,同时也可以基本正确完成图像的解密处理.最后,在方案试验仿真工作的基础上,对方案的密钥空间大小、方案对密钥的敏感性、加密图像的像素关联性以及信息熵等方面进行了详细分析和研究,证明了方案的安全性和执行效率.结果 表明,该算法安全高效,在图像保密通信中具有较大的应用潜力.
Abstract:
A digital image encryption scheme based on double Logistic chaotic map was proposed in this thesis. The two-level Logistic chaotic map was used to create the pseudo-random sequence number in the scheme, and the number of random sequences of image diffusion and scrambling was obtained by two creation processes. The key used in the scheme is the calculation parameters of the first-order Logistic chaotic map and the initial value of the second-order Logistic chaotic map. And in the encryption and decryption process, and the encryption process includes the two steps of proliferation and scrambling. Through the encryption scheme in the. NET platform for experimental simulation, the program encryption effect is good, and it also can complete the correct completion of the image decryption processing. At last, the security and reliability of the scheme were analyzed and studied in detail in this thesis, including the key space size of the scheme, the sensitivity of the scheme to the key, the pixel correlation of the encrypted image and the information entropy, etc. Results suggest that the proposed image encryption scheme is secure and efficient, with high potential to be adopted for the secure image communication applications.