Two-step Holographic Imaging Method based on Single-pixel Compressive Imaging

Abstract

We propose an experimental holographic imaging scheme combining compressive sensing (CS) theory with digital holography in phase-shifting conditions. We use the Mach-Zehnder interferometer for hologram formation, and apply the compressive sensing (CS) approach to the holography acquisition process. Through projecting the hologram pattern into a digital micro-mirror device (DMD), finally we will acquire the compressive sensing measurements using a photodiode. After receiving the data of two holograms via conventional communication channel, we reconstruct the original object using certain signal recovery algorithms of CS theory and hologram reconstruction techniques, which demonstrated the feasibility of the proposed method.

Objects Reconstruction By Compressive Sensing from Single-pixel Registrations Using DMD

“…DOI Firstly a single-pixel detector was used in CS for object information acquisition using standard diffraction registration [15][16]. Further it was applied for digital holographic information: registration of phase objects in inline holography [27][28], two-step inline holography [29], optical scanning holography [30], and etc.…”

Compressed digital holography: from micro towards macro

“…The work of Clemente et al adapted the single pixel imager to digital holography 42 using phase-shifting with a Mach-Zehnder interferometer and Hadamard patterns which are interleaved sets of well-separated matrix entries. The group of Li et al devised a phase-shifed variant 43 where two batches of measurements are taken at different phase shifts. Then, the complex amplitude and phase information is recovered from the phase-shifted measurements.…”

Compressive optical image encryption with two-step-only quadrature phase-shifting digital holography

“…In recent years researchers have proposed many hologram compression schemes to solve this problem [16,17], however, their effectiveness is limited by the introduction of laser speckling noise [18], and the realization of hologram compression is typically performed using the electronic means [19]. The newly developed theory of compressive sensing (CS) [20,21] brings a novel technique to hologram compression in the optical domain [22][23][24][25]. It is built on the inherent sparsity of images and can recover the compressed images with desirable quality from much fewer compressed data.…”