Chen Linfei, Peng BoYan, Gan Wenwen, Liu Yuanqian
Opt Express. 2020 Sep 14;28(19):28154-28163. doi: 10.1364/OE.402958.
The image encryption system based on joint transform correlation has attracted much attention because its ciphertext does not contain complex value and can avoid strict pixel alignment of ciphertext when decryption occurs. This paper proves that the joint transform correlation architecture is vulnerable to the attack of the deep learning method-convolutional neural network. By giving the convolutional neural network a large amount of ciphertext and its corresponding plaintext, it can simulate the key of the encryption system. Unlike the traditional method which uses the phase recovery algorithm to retrieve or estimate optical encryption key, the key model trained in this paper can directly convert the ciphertext to the corresponding plaintext. Compared with the existing neural network systems, this paper uses the sigmoid activation function and adds dropout layers to make the calculation of the neural network more rapid and accurate, and the equivalent key trained by the neural network has certain robustness. Computer simulations prove the feasibility and effectiveness of this method.
基于联合变换相关的图像加密系统因其密文不包含复数值且在解密时可避免密文的严格像素对齐而备受关注。本文证明了联合变换相关架构易受深度学习方法——卷积神经网络的攻击。通过给卷积神经网络大量密文及其对应的明文,它可以模拟加密系统的密钥。与传统的使用相位恢复算法来检索或估计光学加密密钥的方法不同,本文训练的密钥模型可以直接将密文转换为相应的明文。与现有的神经网络系统相比,本文使用sigmoid激活函数并添加了随机失活层,以使神经网络的计算更加快速准确,并且神经网络训练得到的等效密钥具有一定的鲁棒性。计算机模拟证明了该方法的可行性和有效性。