In this paper we propose an alternative technique for producing digita
l Fresnel holograms. The evaluation of a diffraction pattern in a wide
region is implemented in such a way as to avoid redundant calculation
s and preserve the precision. Because of the symmetry of the kernel, t
he complex amplitude is calculated at four points in the registration
plane simultaneously. This algorithm decreases the required CPU time 4
times with respect to direct calculation. The digital Fresnel hologra
m is numerically and optically reconstructed, and some qualitative com
parisons are made. (C) 1997 Optical Society of America.