A novel image encryption method is proposed by utilizing random phase encoding in the
fractional Fourier domain to encrypt two images into one encrypted image with
stationary white distribution. By applying the correct keys which consist of the
fractional orders, the random phase masks and the pixel scrambling operator, the two
primary images can be recovered without cross-talk. The decryption process is robust
against the loss of data. The phase-based image with a larger key space is more
sensitive to keys and disturbances than the amplitude-based image. The pixel
scrambling operation improves the quality of the decrypted image when noise
perturbation occurs. The novel approach is verified by simulations.
© 2007 Optical Society of America
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