title: Analysis and adaptation of convolution algorithms to reconstruct extended objects in digital holography.
abstract: This paper discusses convolution algorithms to reconstruct off-axis digital holograms. The problem of convolution is addressed by considering the spatial spectral properties of digital holograms, especially the unusual localization property of the Fourier spectrum of the hologram, in regard to the physical object space. After deriving the sampling requirements for the transfer functions, three approaches are considered with the concept of spatial bandwidth extension: zero padding, spectrum scanning, and adjustable magnification. The theoretical discussion is completed by experimental illustrations that enable the algorithms to be objectively compared.
authors.affiliation: LUNAM Université, Université du Maine, Centre National de la Recherche Scientifique (CNRS) Unité Mixte de Recherche (UMR) 6613, Laboratoire d’Acoustique de l’Université du Maine (LAUM), Avenue Olivier Messiaen, 72085 LE MANS CEDEX 9, France. pascal.picart@univ‐lemans.fr
authors.forename: Pascal
authors.initials: P
authors.lastname: Picart
authors.forename: Patrice
authors.initials: P
authors.lastname: Tankam