Image encryption using modified exclusive-OR rules and phase-wrapping technique

We propose a new encryption scheme using modified exclusive-XOR rules and a phase-wrapping technique. For image encryption, a gray image is sliced into binary images, which have the same pixel number, and these images are encrypted by the modified XOR rules with bipolar random images. The XORed images and the bipolar random images are combined respectively and converted into full phase images, called an encrypted image and a key image, by a phase-wrapping technique and phase-encoding method. The phase-wrapping technique can not only reduce the ranges of phase components of the encrypted image and the key image but also maintain randomness of these images. The decryption process is simply implemented by a phase-visualization system. Numerical simulations are carried out to verify the validity of the proposed scheme.