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.
© 2014 Optical Society of Korea
(090.0090) Holography : Holography
(100.1160) Image processing : Analog optical image processing
(120.4820) Instrumentation, measurement, and metrology : Optical systems
(110.1758) Imaging systems : Computational imaging
Original Manuscript: November 6, 2013
Revised Manuscript: December 23, 2013
Manuscript Accepted: February 25, 2014
Published: April 25, 2014
Jun Li, Yaqing Li, Yuping Wang, Ke Li, Rong Li, Jiaosheng Li, and Yangyang Pan, "Two-step Holographic Imaging Method based on Single-pixel Compressive Imaging," J. Opt. Soc. Korea 18, 146-150 (2014)
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