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Opt Lett. 2010 Mar 15;35(6):871-3. doi: 10.1364/OL.35.000871.

Compressed sensing with off-axis frequency-shifting holography.

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Institut Pasteur, Unité d'Analyse d'Images Quantitative, CNRS URA 2582, 25-28, rue du Docteur Roux, 75015 Paris, France.


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.

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