一种复合混沌与卷积运算的图像加密算法  

Image encryption algorithm for complex chaos and convolution operations

作　　者：郭媛[1] 陈炜 GUO Yuan;CHEN Wei(School of Computer and Control Engineering,Qiqihar University,Qiqihar,Heilongjiang 161006,China)

机构地区：[1]齐齐哈尔大学计算机与控制工程学院

出　　处：《中国科技论文》2019年第7期783-788,共6页China Sciencepaper

基　　金：国家自然科学基金资助项目(61872204);黑龙江省自然科学基金项目(F2017029);教育部“留学回国人员科研启动基金”资助项目(教外司留[2014]1685号)

摘　　要：针对图像加密过程中存在的明文敏感性弱和安全性问题,利用混沌系统的复杂性和卷积运算的置乱扩散操作,设计了一种新型的图像加密算法。首先构造具有复杂度高、随机性强等特性的广义三阶Fibonacci混沌系统,将明文图像像素的平均值作为广义三阶Fibonacci序列的初始值,使明文敏感性更高,中间密钥随明文自适应变换;然后将置乱后的图像与复合混沌系统做卷积运算,使任一像素点的信息隐藏在周围像素点中,特定的明文可以破解置乱但无法破解卷积运算,能有效抵抗选择明文攻击;最后通过异或扰动生成密文图像,使密文像素值更加均匀。实验结果表明,所提算法有很好的置乱扩散效果和足够的密钥空间,能抵抗穷举、差分和选择明文攻击。Aiming at the weak sensitivity and security problems in the process of image encryption,a new type of image encryption algorithm is designed by using the complexity of chaotic system and the scrambling and spreading operation of convolution.Firstly,a generalized third-order Fibonacci chaotic system with high complexity and strong randomness was constructed.The average of plaintext image pixels was used as the initial value of generalized third-order Fibonacci sequence.It makes plaintext more sensitive.And the intermediate key could adaptively transform with plaintext.Then the scrambled image was convoluted with the compound chaotic system to hide the information of any pixel in the surrounding pixels.Specific plaintext could crack scrambling without cracking the convolution operations,ard effectively resist selective plaintext attacks.Finally,the ciphertext image was generated by perturbation to make the ciphertext pixel value more uniform.The experimental results show that the proposed algorithm has a good scrambling diffusion effect and sufficient key space to resist exhaustive,differential and selective plaintext attacks.

关 键 词：图像加密 复合混沌 卷积运算 广义三阶Fibonacci序列 

分 类 号：TP309.7[自动化与计算机技术—计算机系统结构]