  We present an image recovery approach to improve amplitude and phase
reconstruction from single shot digital holograms, using iterative
reconstruction with alternating updates. This approach allows the flexibility
to apply different priors to amplitude and phase, improves phase reconstruction
in image areas with low amplitudes, and does not require phase unwrapping for
regularization. Phantom simulations and experimental measurements of a grating
sample both demonstrate that the proposed method helps to reduce noise and
resolve finer features. The improved image reconstruction from this technique
will benefit the many applications of digital holography.
