A method and apparatus of encrypting optical images using binarization or
phase only information is presented with a number of ways to secure the
image also being provided. An image to be encrypted is first multiplied
by a random phase function. The Fourier transform of the product of the
image and the random phase function is then multiplied by another random
phase function in the Fourier (or Fresnel) domain. Taking the inverse
Fourier (or Fresnel) transform, an encrypted image in the output plane is
obtained. Alternatively, the image to be encrypted can be phase encoded
and then encrypted to provide an extra level or security. The image can
be secured using one key in the Fourier or Fresnel domain followed by
phase extraction. This encrypted image may then binarized, which may
include binarizing the phase-only part of the encrypted image. The use of
binarization enables ease of implementation and data compression while
still providing recovery of images having good quality. The original
image may be recovered from the phase-only part of the encrypted image,
the binarized encrypted image, or the binarized phase-only part of the
encrypted image.