Compressed Sensing with off-axis frequency-shifting holography

Details Compressed Sensing with off-axis frequency-shifting holography Compressed Sensing with off-axis frequency-shifting holography

2010-04-29

arxiv.org/abs/1004.5305v1

Physics

Optics

vol 35, pp 871-873

Scientific paper

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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