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Optics Letters

Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Editor: Alan E. Willner
  • Vol. 35, Iss. 6 — Mar. 15, 2010
  • pp: 871–873

Compressed sensing with off-axis frequency-shifting holography

Marcio M. Marim, Michael Atlan, Elsa Angelini, and Jean-Christophe Olivo-Marin  »View Author Affiliations


Optics Letters, Vol. 35, Issue 6, pp. 871-873 (2010)
http://dx.doi.org/10.1364/OL.35.000871


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Abstract

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

OCIS Codes
(070.0070) Fourier optics and signal processing : Fourier optics and signal processing
(180.3170) Microscopy : Interference microscopy

ToC Category:
Microscopy

History
Original Manuscript: January 19, 2010
Manuscript Accepted: January 24, 2010
Published: March 15, 2010

Virtual Issues
Vol. 5, Iss. 7 Virtual Journal for Biomedical Optics

Citation
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)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-35-6-871

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