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.
@article{arxiv.1004.5305,
title = {Compressed Sensing with off-axis frequency-shifting holography},
author = {Marcio Marim and Michael Atlan and Elsa Angelini and Jean-Christophe Olivo-Marin},
journal= {arXiv preprint arXiv:1004.5305},
year = {2016}
}