基于有理Bézier曲面生成组合混沌序列的图像加密算法  

Algorithm of Digital Image Encrypting Based on Multi-chaotic Sequence Generated by Rational Bézier Surface

作　　者：张永红[1] 

机构地区：[1]渭南师范学院数学与信息科学学院,渭南714000

出　　处：《计算机科学》2015年第4期136-140,146,共6页Computer Science

基　　金：陕西省科技计划项目(2012JM8031);陕西省教育厅科学研究项目(2013JK0569);渭南市科技计划项目(2011YKJ-2);渭南师范学院科学研究项目(13YKP016);渭南师范学院大学生创新训练项目(201210723022)资助

摘　　要：提出一种基于有理Bézier曲面生成组合混沌映射的图像加密算法。首先通过秘钥序列生成多个Logistic混沌系统的初值,进而生成多个混沌序列;利用有理Bézier曲面将这些混沌序列生成组合混沌矩阵;其次,对原图像和组合混沌矩阵进行按位异或运算;最后,利用组合混沌矩阵生成混沌地址集合,利用混沌地址集合做置乱运算。该算法的优点是不论扩散运算还是置乱运算均采用组合混沌序列进行操作。数字实验表明,该算法加密与恢复效果良好,具有较好的安全性。In this paper,an implementation of digital image encryption scheme based on the multi-chaotic system generated by rational Bézier surface was proposed.Firstly,many initial conditions of Logistic chaotic system are generated by using the external secret key of 8t-bit,and many Logistic chaotic sequences are generated.Then the multi-chaotic matrix is generated based on rational Bézier surface.Secondly,the XOR operation between plain-image and chaotic matrix is applied.Finally,the chaotic address set is generated by using the multi-chaotic matrix,and then the permutation is given by using this chaotic address set.The algorithm has the advantage that both diffusion and scrambling are operated by using the multi-chaotic sequence.The results of several experimental,statistical analysis and key sensitivity tests show that the proposed image encryption scheme provides an efficient and secure way for real-time image encryption and transmission.

关 键 词：数字图像 加密 混沌映射 有理BÉZIER曲面 统计分析 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术]