Compressed sensing with off-axis frequency-shifting holography.
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.
Marim
Marcio M
MM
Institut Pasteur, Unité d'Analyse d'Images Quantitative, CNRS URA 2582, 25-28, rue du Docteur Roux, 75015 Paris, France. marim@pasteur.fr
Atlan
Michael
M
Angelini
Elsa
E
Olivo-Marin
Jean-Christophe
JC
D000465:Algorithms; D006696:Holography / Q000379:methods*; D007091:Image Processing, Computer-Assisted; D055620:Optical Phenomena