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基于级联混沌系统和滤波扩散的图像加密

李萌萌1,1,黄佳鑫2,李佳文1,李珊珊3   

  1. 1. 长安大学信息工程学院
    2. 长安大学
    3. 长安大学信息工程学院电子信息工程系
  • 收稿日期:2025-01-13 修回日期:2025-03-11 发布日期:2025-04-27 出版日期:2025-04-27
  • 通讯作者: 李萌萌

Image encryption based on cascaded chaotic system and filter diffusion

  • Received:2025-01-13 Revised:2025-03-11 Online:2025-04-27 Published:2025-04-27

摘要: 针对现有混沌系统参数范围小以及加密算法扩散效果不佳的问题,设计新型级联混沌系统和滤波扩散模型,提出并实现了一种不限图像尺寸的彩色图像加密算法。首先,设计一种新的二维级联Henon映射、Sine映射和Iterative映射的混沌系统(2D-SIHC),同时加入线性函数扩展参数范围,系统迭代生成的二维序列,一维用来置乱像素位置,另一维用来更新滤波模板和扩散操作;其次,为避免密钥重复利用降低算法安全性,使用“SHA-512”算法结合明文图像,通过标志位与权重的计算来生成密钥;接着,为增强算法扩散效果设计二维滤波扩散模型,不同于传统滤波扩散是通过固定模板遍历改变图像像素值,新的扩散模型是通过引入混沌序列以不断更新滤波模板值来动态改变像素值;最后完成加密。实验结果表明,像素变化率和统一平均变化强度可以达到99.6036%和33.4372%,非常接近理想值,能够抵抗强度为0.2的噪声干扰和缺失50%的裁剪攻击,加密效率高。

关键词: 图像加密, 级联混沌系统, 混沌迭代, 滤波扩散, 密钥敏感性

Abstract: In response to the problems of the existing chaos system parameter range and the poor diffusion effect of the encrypted algorithm, design a new -class chaos system and filter diffusion model, and propose and implement a color image encryption algorithm with unlimited image size. First, design a new two-dimensional Henon mapping, SINE mapping and Iterative mapping. Pixel location, the other dimension is used to update the filter template and diffusion operation; secondly, in order to avoid the key to reused the key to reduce the security of the algorithm, the "SHA-512" algorithm combines bright text images to generate the key through the calculation of the logo position and weight to generate the key Then, in order to enhance the algorithm diffusion effect, the two -dimensional filter diffusion model is designed. Unlike the traditional filtering diffusion, it changes the image pixel value through fixed templates. ; Finally, complete the encryption. The experimental results show that the pixel change rate and the unified average change intensity can reach 99.6036% and 33.4372% , which is very close to the ideal value. It can resist no noise interference and a 50%tailoring attack with no noise interference with 0.2, and the encryption efficiency is high.

Key words: Image encryption, cascading chaotic systems, chaotic iteration, filter diffusion, key sensitivity

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