Fig. 1. Mathematical model of compressed sensing

Fig. 2. Compressed digital holographic model

Fig. 3. Experimental results. (a) Multi-layer structure of 3D object; (b) point spread functions at different layers; (c) 3D reconstruction using traditional back-propagation algorithm; (d) 3D reconstruction using compressive digital holography

Fig. 4. Reconstruction of compressive digital holography without a filter layer

Fig. 5. Compressive digital holography. (a) Schematic diagram of filtering mechanism of compressive digital holography; (b) quality of reconstruction varies with the position of the filter layer

Fig. 6. Digital holography. (a) Recording; (b) reconstruction

Fig. 7. Gabor holographic 3D microscopic imaging system. (a) Schematic diagram of imaging system; (b) captured Gabor hologram

Fig. 8. 3D multi-layer object reconstruction results. (a) Back-propagation algorithm; (b) traditional compressive digital holographic algorithm; (c) local enlarged image of the reconstruction using block compressive digital holographic algorithm

Fig. 9. Particle-flowing 3D video imaging system

Fig. 10. Gabor holograms. (a) Oblique illumination; (b) vertical illumination; (c) 3D particle field reconstruction

Fig. 11. 3D particle field reconstruction results. (a) Back-propagation model; (b) single-angle compression digital holographic model; (c) double-angle compression digital hologram

Fig. 12. 3D reconstruction results. (a)(b) Microscopic 3D reconstruction results of two particles; (c) particle position varies with time in a 3D particle-flowing field