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arXiv · 1004.5305

Compressed Sensing with off-axis frequency-shifting holography

Marcio Marim·Michael Atlan·Elsa Angelini·Jean-Christophe Olivo-Marin
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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.

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Marcio Marim, Michael Atlan, Elsa Angelini, Jean-Christophe Olivo-Marin. 2010-04-29. Compressed Sensing with off-axis frequency-shifting holography. https://doi.org/10.1364/ol.35.000871

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