Multiple-image encryption scheme via compressive sensing and orthogonal encoding based on double random phase encoding

We propose an optical multiple-image encryption scheme based on compressive sensing and double random phase encoding. The orthogonal encoding method is used for integrating and extracting multiple-image compressed sampling data. In the encryption process, each plain image is sampled by compressive sensing and the sampled data of all the images are integrated into a synthesized ciphertext by orthogonal encoding method. The synthesized ciphertext is re-encrypted through the double random phase encoding technique to form final ciphertext. In order to reduce the data of keys, chaotic matrix, of which only the initial value should be memorized, is employed in the compressive sampling process and double random phase encoding process. Numerical simulation and the analysis of attacks on encrypted image are implemented to demonstrate the security and validity of the proposed approach.