Scientific Results

A new algorithm for digital holograms denoising based on compressed sensing

Year: 2012

Authors: Memmolo P., Esnaola I., Finizio A., Paturzo M., Ferraro P., Tulino A.M.

Autors Affiliation: CNR – Istituto Nazionale di Ottica, via Campi Flegrei 34, 80078 Pozzuoli (NA), Italy;
Center for Advanced Biomaterials for Health Care@CRIB, Istituto Italiano di Tecnologia, P.le Tecchio 80, 80125 Naples, Italy;
DIBET, Università degli Studi di Napoli “Federico II”, via Claudio 21, 80125 Napoli, Italy;
Wireless Communication Theory Research, Bell Laboratories, 791 Holmdel-Keyport Road, Holmdel, NJ 07733, U.S.A

Abstract: We propose a new denoising algorithm in off-axis Digital Holography (DH) based on l(1) norm minimization. The aim of our work is to assess a general denoising scheme of digital holograms, i.e. we do not explore prior knowledge of the statistics of the digital holograms. For this purpose, we consider different experimental conditions such as a digital holograms recorded in microscope configuration and lensless configuration. We use the inherent sparsity of the numerical reconstruction of digital holograms in order to optimize the in-focus digital reconstructions. For this reason, we call the proposed algorithm SPADEDH (SPArsity DEnoising of Digital Holograms). We perform also a display test, by using a Spatial Light Modulator (SLM) as a projection system, for the digital holograms recorded in lensless configuration. In both numerical reconstruction and display test, the improvements of the SPADEDH algorithm are computed.

Journal/Review: PROCEEDINGS OF SPIE

Volume: 8429      Pages from: 84291G  to: 84291G

KeyWords: digital holograms denoising
DOI: 10.1117/12.922923

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