Single-shot Fresnel incoherent correlation holography based on digital self-calibrated point source holograms

Achieving high quality 3D imaging with single exposure has always been the goal of Fresnel incoherent correlation digital holography (FINCH). However, there is a trade-off between space-time bandwidth product and system complexity, resulting in lower reconstruction quality of FINCH. Here, we propose a single-shot FINCH method based on digital self-calibrated point source holograms (PSHs) to achieve dynamic 3D imaging. Firstly, it demonstrates that a single FINCH hologram integrates information from multiple incoherently superimposed PSHs, so that the reconstructed images exhibit significant sparsity variations in the gradient domain when correlated with the PSHs to be calibrated. As a result, we can conveniently achieve accurate PSHs of objects at different depth planes by digital self-calibration algorithm. Furthermore, by combining the digital self-calibrated PSHs with a compressive sensing (CS) reconstruction algorithm, the quality of the 3D reconstruction can be effectively enhanced, showing excellent performance in improving lateral and axial resolution. Importantly, this method offers a new strategy for simplifying implementation system and improving space-time bandwidth product of FINCH technology, and then achieves high quality 3D imaging of dynamic scene.