Fresnel or Fraunhofer hologram s can be recorded by CCD arrays as long as the sampling theorem is fulfilled. The numerical reconstruction of the wavefields is performed either by the discrete finite Fresnel transform or by solving the diffraction integral using the convolution theorem. The availability of the digitally evaluated complex wavefield instead of only the intensity field in optical reconstruction allows the subtraction of the phase distributions belonging to two states of the object to yield the sign-correct interference phase distribution with high accuracy. A numerical compensation for excess motion as well as effective filtering of the interference phase modulo 2(pi) are feasible.© (1998) COPYRIGHT SPIE--The International Society for Optical Engineering. Downloading of the abstract is permitted for personal use only.