基于分数阶傅立叶变换的图像加密研究

介绍了分数阶傅立叶变换理论和基于DFT核矩阵特征分解的分数阶傅立叶变换离散化方法;提出了一种基于分数阶傅立叶变换理论和双随机相位编码技术的图像加密方法,该方法不仅可以有效地对图像进行加密,而且能够准确地再现原图像,恢复后的图像和原图像一致。分数阶傅立叶域双随机相位编码对解码参数误差比较敏感,这样就提高了图像的保密性。最后通过实验验证了该方法的有效性。

Research of image encryption based on the fractional Fourier transform

A introduction about the fractional Fourier transform theory and the method of discrete fractional Fourier transform based on eigen-decomposition of the DFT matrix is provided in this paper;A fractional Fourier domain double phase encoding method is proposed for image encryption.The method not only can encrypt the image effectively,but also recover original image accurately,and the recovered image is similar to the original image.The decrypted output of the double random phase encoding in the FRFT domain is sensitive to the decryption parameter error,so it enhances data security.At the end,experimental results show the validity of the proposed method.