Compressed sensing - based denoising algorithm of digital holograms recorded in microscope configuration

Compressed Sensing (CS) states that a sig-nal admitting a sparse representation in some basis can be perfectly acquired using a low rate acquisition process that projects the signal onto a small set of vectors inco-herent with the sparsity basis. Motivated by this idea, we propose to use CS as denois-ing algorithm in Digital Holography (DH) for efficient amplitude and phase reconstruction.