Image encryption algorithm on coupled chaotic map and wavelet transform

doi:10.3778/j.issn.1002-8331.2010.33.054

Computer Engineering and Applications ›› 2010, Vol. 46 ›› Issue (33): 191-194.DOI: 10.3778/j.issn.1002-8331.2010.33.054

• 图形、图像、模式识别 • Previous Articles Next Articles

Image encryption algorithm on coupled chaotic map and wavelet transform

ZHANG Shuo，CAI Ru-hua，CHEN Guang-xi

School of Mathematics and Computational Science，Guilin University of Electronic Technology，Guilin，Guangxi 541004，China

Received:2009-04-02 Revised:2009-06-01 Online:2010-11-21 Published:2010-11-21
Contact: ZHANG Shuo

结合二维混沌映射与小波变换的图像加密方案

张硕，蔡如华，陈光喜

桂林电子科技大学数学与计算科学学院，广西桂林 541004

通讯作者: 张硕

Abstract

Abstract: As the one-dimensional chaotic map may degenerate into a cycle and the weaknesses of key.It is combined with a coupling form of coupled logistic chaotic map which generates chaotic sequence and the image is encrypted in space.Then wavelet decomposition is achieved on encrypted image.The chaotic mapping transformation is implemented on wavelet coefficients，which carries out scrambling encryption on wavelet domain.Conclusion from computer simulation results verifies that the encryption algorithm improves the degradation problems of single chaotic sequence with better randomness.The statistical properties of plain-image have great changes，and can effectively resist all kinds of attacks.

Key words: coupled Logistic chaotic map, wavelet transform, image encryption

摘要： 由于一维混沌映射有可能退化为周期以及密钥空间相对太小等缺点。现结合一次耦合形式的二维Logistic混沌映射，由此映射生成混沌序列，在空域上对图像进行加密，然后对其加密后的图像进行小波分解，对其小波系数进行混沌映射变换，从而在小波域上进行置乱加密。通过计算机模拟实验结果进行分析表明，该算法改进了单一混沌映射的退化问题，同时明文的各种统计特性也得到了很大的改变，且能有效地抵御各种攻击。

关键词: 二维Logistic混沌映射, 小波变换, 图像加密

CLC Number:

TP391

ZHANG Shuo，CAI Ru-hua，CHEN Guang-xi.

Image encryption algorithm on coupled chaotic map and wavelet transform

[J]. Computer Engineering and Applications, 2010, 46(33): 191-194.

张硕，蔡如华，陈光喜. 结合二维混沌映射与小波变换的图像加密方案[J]. 计算机工程与应用, 2010, 46(33): 191-194.

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Image encryption algorithm on coupled chaotic map and wavelet transform

结合二维混沌映射与小波变换的图像加密方案

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