Abstract An optical image encryption scheme based on chaotic fingerprint phase masks (CFPMs) and pattern-illuminated Fourier ptychography (FP) is proposed. During the encryption process, the primary image that is under the non-uniform intensity patterns’ illumination can be encrypted into multiple low-resolution intensity images with the CFPMs placed respectively at the input plane and the Fourier plane. And during the decryption process, the primary image can be recovered from these encrypted images with a Fourier ptychographic recovery algorithm and CFPMs. In this proposed image encryption scheme, the fingerprint image and the chaotic parameters are served as secret keys directly, and the CFPMs are just used as interim variables and functions. If the fingerprint image is shared by the sender and the authorized receiver, the security of the proposed image encryption scheme will be enhanced greatly, and the management and transmission of the secret keys will also become convenient to some extent. Additionally, the illumination pattern can also act as an additional secret key. Numerical simulations have been performed to verify the feasibility, security and robustness of the proposed image encryption scheme.

中文翻译：

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基于混沌指纹相位掩模和图案照明傅立叶图谱的光学图像加密

摘要 提出了一种基于混沌指纹相位掩模(CFPMs)和图案照明傅里叶ptychography(FP)的光学图像加密方案。在加密过程中，可以将在非均匀强度模式照射下的原始图像加密为多个低分辨率强度图像，CFPM分别放置在输入平面和傅立叶平面上。并且在解密过程中，可以使用傅立叶 ptychographic 恢复算法和 CFPM 从这些加密图像中恢复原始图像。在这个提出的图像加密方案中，指纹图像和混沌参数直接作为密钥，而CFPMs只是作为中间变量和函数。如果指纹图像由发送者和授权接收者共享，所提出的图像加密方案的安全性将大大增强，密钥的管理和传输也将在一定程度上变得方便。此外，照明图案还可以充当额外的密钥。已经进行了数值模拟以验证所提出的图像加密方案的可行性、安全性和鲁棒性。