Filters for speckle reduction are applied on numerical reconstructions of hologram, and not on the hologram itself. Then, optical reconstruction cannot be performed. We propose a method based on direct-binary search (DBS) algorithm to generate binary holograms that can be reconstructed optically after application of a speckle reduction filter. Since the optimization procedure of the DBS algorithm is performed in the image plane, speckle reduction techniques can be applied on the complex hologram and used as a reference to obtain a binary pattern where the speckle noise generated during the recording of the hologram has been filtered.
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Thibault Leportier, Do Kyung Hwang, Min-Chul Park, "Design of binary patterns for speckle reduction in holographic display with compressive sensing and direct-binary search algorithm," Proc. SPIE 10354, Nanoengineering: Fabrication, Properties, Optics, and Devices XIV, 1035410 (31 August 2017);