  Single-shot and incoherent imaging are two important properties for digital
holography technique to extend its application range. In this paper, a simple
and compact in-line Fresnel incoherent digital holographic recording system
with capability of single-shot and three-dimensional imaging is proposed. A GP
lens is used as the common-path interferometer based on its special wave
separation property. Parallel phase-shifting holography is used to achieve
single-shot operation by using a polarization imaging camera together with
space-division multiplexing. The capability of the proposed technique and the
setup was experimentally confirmed by images of two standard test charts.
