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Proceedings Paper

Fresnelab: sparse representations of digital holograms
Author(s): Michael Liebling
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Paper Abstract

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.

Paper Details

Date Published: 27 September 2011
PDF: 7 pages
Proc. SPIE 8138, Wavelets and Sparsity XIV, 81380I (27 September 2011); doi: 10.1117/12.894343
Show Author Affiliations
Michael Liebling, Univ. of California, Santa Barbara (United States)


Published in SPIE Proceedings Vol. 8138:
Wavelets and Sparsity XIV
Manos Papadakis; Dimitri Van De Ville; Vivek K. Goyal, Editor(s)

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