基于Frobenius标准形的Arnold变换图像加密算法

An encryption algorithm for Arnold transformation images based on Frobenius normal form

针对Arnold变换图像加密算法相关系数不理想的问题,提出了一种基于Frobenius标准形的改进算法。该算法将Frobenius标准形用于图像加密,首先对像素矩阵进行Frobenius标准形加密预处理,然后用Arnold变换进行像素点置乱。仿真实验结果表明,在不损失计算效率的前提下,该算法有效地降低了加密图像的相关系数,具有较强的抗干扰性,并在一定程度上隐藏像素值分布特征。

Since the encryption algorithm cannot output satisfactory correlation coefficients for Arnold transformation images, an improved method based on Frobenius normal form is proposed to encrypt images encryption. First, this algorithm uses the Frobenius normal form to preprocess pixel matrixes. Second, it utilizes Arnold transformation to scrambling pixels. The simulation results show that the algorithm can effectively reduce the correlation coefficients of encrypted images without losing computational efficiency, and hide the distribution characteristics of pixel values to a certain extent. The proposed algorithm holds a valuable feature of anti-interferences.