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27 September 2011 Fresnelab: sparse representations of digital holograms
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Digital holography plays an increasingly important role for biomedical imaging; it has particularly low invasiveness and allows quantitatively characterizing both amplitude and phase of propagating wave fronts. Fresnelets have been introduced as both a conceptual and practical tool to reconstruct digital holograms, simulate the propagation of monochromatic waves, or compress digital holograms. Propagating wavefronts that have a sparse representation in a traditional wavelet basis in their originating plane have a similarly sparse representation in propagation-distance-dependent Fresnelet bases. Although several applications have been reported, no implementation has been made widely available. Here we describe a Matlab-based Fresnelets toolbox that provides a set of user-friendly functions to implement the Fresnelet transform.
© (2011) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Michael Liebling "Fresnelab: sparse representations of digital holograms", Proc. SPIE 8138, Wavelets and Sparsity XIV, 81380I (27 September 2011);

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