SPADEDH: a sparsity-based denoising method of digital holograms without knowing the noise statistics

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;
DIBET, Università degli Studi di Napoli ”Federico II”, via Claudio 21, Napoli, Italy;
Wireless Communication Theory Research, Bell Laboratories, 791 Holmdel-Keyport Road, Holmdel, New Jersey 07733, USA

Abstract: In this paper we propose a robust method to suppress the noise components in digital holography (DH), called SPADEDH (SPArsity DEnoising of Digital Holograms), that does not consider any prior knowledge or estimation about the statistics of the noise. In the full digital holographic process we must mainly deal with two kinds of noise. The first one is an additive uncorrelated noise that corrupts the observed irradiance, the other one is the multiplicative phase noise called speckle noise. We consider both lensless and microscope configurations and we prove that the proposed algorithm works efficiently in all considered cases suppressing the aforementioned noise components. In addition, for digital holograms recorded in lensless configuration, we show the improvement in a display test by using a Spatial Light Modulator (SLM). (C) 2012 Optical Society of America

Journal/Review: OPTICS EXPRESS

Volume: 20 (15)      Pages from: 17250  to: 17257

KeyWords: Digital holography; Image reconstruction techniques; Fourier optics and signal processing
DOI: 10.1364/OE.20.017250

Citations: 48
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