基于分数傅里叶变换的双彩色图像加密

Encryption and decryption for double images based on fractional Fourier transformation

为了实现单通道双彩色图像的同时加密,首先将两幅待加密的彩色图像转换成索引图像的形式,保留索引图像的颜色映射矩阵,然后仅对数据矩阵采用复数合成、分数傅里叶变换、随机调制实现了双图像的加密。结果表明,只有在使用完全正确密钥的情况下才能恢复出两幅无失真的图像。该算法具有很高的安全性。

In order to encrypt double color images in a single channel,firstly,two color images to be encrypted were converted to indexed images instead of RGB model and the color mapping matrix of the index images was reserved.Then,after the logarithm operation,fraction Fourier transformation and random modulation of the data matrix,both the images were encrypted.The theoretical analysis and experiment results indicate that two color images can be retrieved without distortion only when correct keys are used.The algorithm has high security.