基于分形谢尔宾斯基三角形模型的图像加密算法  

Image encryption algorithm based on fractal Sierbinski triangle model

作　　者：赵芃 王金婵 彭欢庆 向菲 张立文 ZHAO Peng;WANG Jin-chan;PENG Huan-qing;XIANG Fei;ZHANG Li-wen(School of Information Engineering,Henan University of Science and Technology,Luoyang 471023,China)

机构地区：[1]河南科技大学信息工程学院,河南洛阳471023

出　　处：《计算机工程与设计》2024年第11期3216-3224,共9页Computer Engineering and Design

基　　金：河南省教育厅科技攻关基金项目(21A510002);河南省科技厅科技攻关基金项目(222102210207)。

摘　　要：为使密文图像有效传输,提高密文图像在传输过程中受到噪声攻击和剪切攻击后在解密端解密的图像质量,提出一种将混沌序列与分形谢尔宾斯基三角形模型相结合的加密算法。明文图像的尺寸决定分形维度,四维耗散混沌序则决定DNA编码、运算和解码规则,logistic混沌序列被用来控制分形三角形子图旋转方式,使生成的密文具有更好的随机性和不可预测性。仿真结果表明,密文图像在受到剪切攻击和噪声攻击后,相比于单一的DNA加密算法,该算法可以提高解密图像的峰值信噪比约7 dB,结构相似性约提升0.3。To enhance the quality of encrypted images at the decryption end and improve their resistance to noise and clipping attacks during transmission,an encryption algorithm combining chaotic sequences and a fractal Sierpinski triangle model was proposed.The size of the plaintext image was used to determine the fractal dimension,while a four-dimensional dissipative chaotic sequence was used to determine the DNA encoding,computation,and decoding rules.The logistic chaotic sequence was used to control the rotation of sub-graphs in the fractal triangle,thus generating ciphertext with better randomness and unpredictability.Simulation results demonstrate that compared to a single DNA encryption algorithm,this algorithm can improve the peak signal-to-noise ratio of the decrypted image by approximately 7 dB after being subjected to clipping and noise attacks,with a corresponding improvement of 0.3 in structural similarity.

关 键 词：分形谢尔宾斯基三角模型 DNA编码 混沌系统 旋转置乱 噪声攻击 剪切攻击 分形图像加密 

分 类 号：TN918.4[电子电信—通信与信息系统]