Single-pixel Fresnel incoherent correlation holography for 3D imaging

Fresnel incoherent correlation holography (FINCH) is an incoherent, non-scanning, and high-precision 3D imaging technique, but its area imaging characteristics limit the application of FINCH to some extent. Accordingly, we developed a single-pixel imaging method based on FINCH to realize 3D imaging. We utilized spatial light modulators (SLM) and loaded a measurement matrix on a digital micromirror array (DMD), thereby achieving phase modulation and compressed encoding simultaneously; one-dimensional data acquisition was achieved using a single-pixel camera. Finally, we combined the single-pixel reconstruction and phase-shifting algorithm to achieve incoherent correlation holography imaging with subsampling. The experimental results demonstrated that the proposed method could achieve comparable quality results at a sampling rate of 20 % compared to a 100 % sampling rate, and the method had good noise immunity. This not only avoided the limitations of area array sensors but also enabled high-fidelity imaging with a small data volume, which broadened the scope of research on the application of FINCH in the field of 3D imaging.