基于分数阶Fourier变换的数字图像实值加密方法

构造了一种新的保实化的分数阶Fourier变换,提出了一种基于该变换的数字图像实值加密方法。利用保实分数阶Fourier变换的保实特性和阶数可加性等完成了数字图像的加密与解密,明文和密文分别位于空域和由密钥决定的保实分数阶Fourier变换域中,具有较强的抗统计破译能力。密图是一个实值图像,便于显示和存储。仿真实验结果表明,该加密方法密钥简单,无数据膨胀,对参数敏感度高,具有一定的鲁棒性和安全性。在信息安全领域具有良好的研究前景和实用价值。

Real-value encryption of digital image utilizing fractional Fourier transform

A novel method of digital image real-value encryption is presented by utilizing a novel reality-preserving fractional Fourier transform.Image encryption and deeryption are performed based on the real-valuedness and index additivity of the reali- ty-preserving fractional Fourier transform.The input and encrypted data are respectively in the spatial domain and the reality- preserving fractional Fourier transformed domain determined by encryption keys.It resists statistic analyses effectively.In addi- tion,the encrypted image is real-valued,so it's convenient for display and storage.The simulation result shows that as a method of eneryption with simple keys,it does't bring data expanding,and is sensitive to parameters,with considerable robust- ness and security,which has a good prospect and practicability in information security field.