This work reveals an experimental microscopy acquisition scheme successfully combining compressed sensing (CS) and digital holography in off-axis and frequency-shifting conditions. CS is a recent data acquisition theory involving signal reconstruction from randomly undersampled measurements, exploiting the fact that most images present some compact structure and redundancy. We propose a genuine CS-based imaging scheme for sparse gradient images, acquiring a diffraction map of the optical field with holographic microscopy and recovering the signal from as little as 7% of random measurements. We report experimental results demonstrating how CS can lead to an elegant and effective way to reconstruct images, opening the door for new microscopy applications.
© 2010 Optical Society of America
Original Manuscript: January 19, 2010
Manuscript Accepted: January 24, 2010
Published: March 15, 2010
Vol. 5, Iss. 7 Virtual Journal for Biomedical Optics
Marcio M. Marim, Michael Atlan, Elsa Angelini, and Jean-Christophe Olivo-Marin, "Compressed sensing with off-axis frequency-shifting holography," Opt. Lett. 35, 871-873 (2010)