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