Holographic image representation with reduced aliasing and noise effects

This paper presents a novel holographic image representation which has a better reconstruction quality after cropping the hologram than any known representation today. Reconstructed images are very close to ideally low-pass filtered versions of the original image, almost without aliasing. We use the same test images which were used by Bruckstein et al. (see ibid., vol.,7, p.1583-97, 1998) and show empirically that our method has smaller reconstruction errors, on all of them, than the errors produced by subsampling and Fourier transform methods presented by Bruckstein et al.