基于新混沌与矩阵卷积运算的彩色图像加密算法

A color image encryption algorithm based on new chaos and matrix convolution operation

针对彩色图像加密过程中出现的强相关性和高冗余问题,提出基于云模型的Fibonacci混沌系统与矩阵卷积运算的彩色图像加密算法。首先对彩色图像的R、G、B分量拼接图像像素点坐标变换置乱;然后将混沌序列值作为卷积核的输入值与像素值进行矩阵卷积运算,实现像素值置换;再与云模型Fibonacci混沌序列及前相邻像素值进行正反双向2次异或操作生成加密图像。实验分析表明,加密后的图像直方图更加平滑,像素分布均匀,图像相邻像素相关性低,加密图像RGB分量平均水平、垂直和对角相关系数分别为-0.0010,0.0016和0.0031,能够抵抗差分攻击、明文攻击、噪声攻击和剪切攻击等攻击实验,提出的新加密算法具有加密安全性高、抗干扰性高、鲁棒性强等特点。

In order to solve the problems of strong correlation and high redundancy in the process of color image encryption,a color image encryption algorithm based on cloud model Fibonacci chaotic system and matrix convolution operation is proposed.Firstly,the algorithm permutates the pixel coordinates of the image stitched by the R,G,and B components of the color image.Secondly,the chaotic sequence values are used as the input values of the convolution kernel.Alternative matrix convolution operation is performed on the chaotic sequence values and the pixel values to achieve the pixel transformation.Thirdly,two opposite XOR operations with the cloud model Fibonacci chaotic sequence and the previous adjacent pixel values are done to generate the encrypted image.Finally,simulation experiments show that the histogram of the encrypted image is smoother,the pixel distribution is uniform,the correlation between adjacent image pixels is low,and the average horizontal,vertical and diagonal correlation coefficients of the RGB components of the encrypted image are-0.0010,0.0016 and 0.0031,respectively.The encrypted image can resist the attack experiments such as differential attack,plaintext attack,noise attack and shear attack.The proposed new encryption algorithm has the characteristics of high encryption security,high anti-interference and strong robustness.