Twin-image-free compressive holography with autofocusing from single subsampled hologram

Abstract

Compressive-sensing-based twin-image-free approach is only capable to achieve twin-image-free reconstruction under 2D-2D imaging model with the full-sampling condition. In this paper, a compressive holography approach with autofocusing from a single-shot subsampled hologram is proposed. On the one hand, a subsampling mechanism is introduced to establish a subsampled compressive holographic imaging model; On the other hand, an eigenvalues-based autofocusing algorithm is combined with compressive-sensing to achieve autofocus reconstruction under subsampling condition in compressive holography. In addition, a multi-scale search algorithm is proposed to improve the accuracy of autofocus. Numerical experiments verify the feasibility of our proposed approach in terms of precisely autofocusing and twin-image-free reconstruction from single-shot subsampled holograms.