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4 May 2012 A new algorithm for digital holograms denoising based on compressed sensing
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We propose a new denoising algorithm in off-axis Digital Holography (DH) based on l1 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.
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P. Memmolo, I. Esnaola, A. Finizio, M. Paturzo, P. Ferraro, and A. M. Tulino "A new algorithm for digital holograms denoising based on compressed sensing", Proc. SPIE 8429, Optical Modelling and Design II, 84291G (4 May 2012);

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