Su Yonggang, Xu Wenjun, Zhao Jie, Chen Lei, Tian Xiaoyan
Appl Opt. 2020 Jan 10;59(2):474-483. doi: 10.1364/AO.59.000474.
Random phase masks serve as secret keys and play a vital role in double random phase encoding architecture. In this paper, we propose a new, to the best of our knowledge, method to generate the random phase masks using the chaotic Henon map and fingerprint. We then extend the generated chaotic fingerprint phase masks to the Fourier transform domain, fractional Fourier transform domain, Fresnel transform domain, and Gyrator transform domain to encrypt color images. In these four color image encryption schemes, the fingerprint and chaotic parameters serve as secret keys directly, and the chaotic fingerprint phase masks are just used as interim variables and functions. If the sender and receiver share the fingerprint, only the chaotic parameters are needed to transmit over the network. Thus, the management and transmission of the secret keys in these four encryption schemes are convenient. In addition, the fingerprint keys which are strongly linked with the sender or receiver can enhance the security of these four encryption schemes greatly. Extensive numerical simulations have been carried out to verify the feasibility, security, and robustness of these four color image encryption schemes.
随机相位掩模作为密钥，在双随机相位编码架构中起着至关重要的作用。在本文中，据我们所知，我们提出了一种使用混沌亨农映射和指纹来生成随机相位掩模的新方法。然后，我们将生成的混沌指纹相位掩模扩展到傅里叶变换域、分数傅里叶变换域、菲涅耳变换域和旋转变换域来加密彩色图像。在这四种彩色图像加密方案中，指纹和混沌参数直接作为密钥，而混沌指纹相位掩模仅用作中间变量和函数。如果发送方和接收方共享指纹，则只需在网络上传输混沌参数。因此，这四种加密方案中密钥的管理和传输都很方便。此外，与发送方或接收方紧密关联的指纹密钥可以大大提高这四种加密方案的安全性。我们进行了大量的数值模拟来验证这四种彩色图像加密方案的可行性、安全性和鲁棒性。
