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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: Joseph N. Mait
  • Vol. 52, Iss. 1 — Jan. 1, 2013
  • pp: A240–A253

Analysis and adaptation of convolution algorithms to reconstruct extended objects in digital holography

Pascal Picart and Patrice Tankam  »View Author Affiliations


Applied Optics, Vol. 52, Issue 1, pp. A240-A253 (2013)
http://dx.doi.org/10.1364/AO.52.00A240


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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.

© 2012 Optical Society of America

OCIS Codes
(090.0090) Holography : Holography
(100.2000) Image processing : Digital image processing
(100.3010) Image processing : Image reconstruction techniques
(090.1995) Holography : Digital holography

History
Original Manuscript: July 16, 2012
Revised Manuscript: October 11, 2012
Manuscript Accepted: October 18, 2012
Published: November 27, 2012

Citation
Pascal Picart and Patrice Tankam, "Analysis and adaptation of convolution algorithms to reconstruct extended objects in digital holography," Appl. Opt. 52, A240-A253 (2013)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-52-1-A240

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