Digital image information encryption based on Compressive Sensing and double random-phase encoding technique

An image information encryption method based on Compressive Sensing and double random-phase encoding is proposed. Considering that natural image tends to be compressible in a transform domain, the characteristics of Compressive Sensing, dimensional reduction and random projection, are utilized to sample or encrypt a digital image firstly. Then, the measured values with low data volume are re-encrypted by double random-phase encoding technique with smaller random phase masks based on sequences of irrational number. And then, the double-encrypted information is dispersed and embedded into the host image. At the received terminal, original image information is reconstructed approximately via Orthogonal Matching Pursuit algorithm. Numerical experiments show that this encryption scheme has following features: low data volume for encryption and high security of information.