提出了一种基于压缩感知的光学数字图像加密方案，利用压缩感知理论及特点，借助双随机相位编码技术，实现了对数字图像的多重加密。通过压缩感知使用随机测量矩阵作为密钥对原始图像加密，然后对加密图像利用Arnold变换置乱二次加密，并通过4f光学系统进行双随机相位编码再次对图像加密，从而实现了对图像的多次加密。考虑实际应用中传输过程的安全性，将加密图像融合于载体图像。在接收端，对加密图像进行解密重构。实验结果表明，该加密方案能够有效降低采样数据量，具有高稳健性，对密钥响应敏感并可以抵御较强的攻击。

A new digital image optical encryption method based on compressed sensing is proposed. With the advantage of the characteristics of compressed sensing as well as double random phase encoding technique, multi-encryption of digital image is realized. Compressed sensing is utilized to compress and encrypt a digital image with the random measurement matrix as secret key. Arnold transformation is used to scramble the encryption image with low data volume. The encryption image is encrypted again by double random phase encoding technique to realize the multiple encryption of image. Security overall process is taken into account in the scheme. The multi-encrypted information is embedded into the host image and transmitted. At the receiver, original image information is reconstructed. The experimental results show that the encryption scheme has such features as low data volume, strong robustness, high key sensitivity, and can resistance brute force attack.