An Image Encryption Algorithm Based on Chaos Set
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摘要:
该文提出一种基于包含离散混沌系统、连续混沌系统的混沌系统集的混沌加密算法，该加密算法可以根据加密强度需求选择不同的混沌系统组合，利用图像像素的像素均值及像素坐标值为参数控制混沌密钥产生，增强混沌密钥与明文数据之间的联系。在加密基础上，将密文按位切割成3个数据后伪装隐藏在一个处理后的公开图像内，改变了密文外观特性。通过对加密后的图像进行图像直方图分析、相邻像素相关性分析及图像信息熵分析，表明该加密算法有效，在图像保密传输中具有应用潜力。
Abstract:A novel image encryption algorithm is proposed based on a chaos set which consists of discrete chaotic systems and continuous chaotic systems. The chosen combination of chaotic system is dependent on the encryption intensity. The pixel mean value and pixel coordinate value of images are exploited to control the generation of key, thus enhancing the relationship between chaotic key and plain text. In addition, the octet of cipher text pixel is divided into three parts, and then hided into a processed public image, which can promote the external characteristics of cipher text. The image histogram analysis, correlation analysis, and information entropy analysis methods are adopted to identify the security performance, which indicates the effectiveness of the proposed image encryption algorithm and potential application in the image security transmission.
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Key words:
- Chaos system /
- Encryption /
- Image hiding
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表 1 数据隐藏方式
扩展图像像素值 携带密文图像像素值 ${{{Q}}_{2{{i - 1,}}2{{j - 1}}}}$ ${{{Q}}_{2{{i - }}1, 2{{j - }}1}}$ ${{{Q}}_{2{{i - }}1, 2{{j}}}}$ ${Q_{2i - 1,2j}} + P_{1\;i,j}^2$ ${{{Q}}_{2{{i,}}2{{j - }}1}}$ ${Q_{2i,2j - 1}} + P_{3\;i,j}^2$ ${{{Q}}_{2{{i,}}2{{j}}}}$ ${Q_{2i - 1,2j}} + P_{2\;i,j}^2$ 
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表 2 图像行列值控制选取混沌加密系统按行列产生密钥
${\rm{mod}}\left( {i,8} \right){\simfont\text{或}}{\rm{mod}}\left( {j,8} \right)$ 1 2 3 4 5 6 7 0 选定的混沌系统 Logistic Bernoulli Tent Hénon Chen Lorenz Lü Bao
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