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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 20, Iss. 8 — Apr. 9, 2012
  • pp: 8815–8823

Using an aliasing operator and a single discrete Fourier transform to down-sample the Fresnel transform

Modesto Medina-Melendrez, Albertina Castro, and Miguel Arias-Estrada  »View Author Affiliations


Optics Express, Vol. 20, Issue 8, pp. 8815-8823 (2012)
http://dx.doi.org/10.1364/OE.20.008815


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Abstract

In Digital Holography there are applications where computing a few samples of a wavefield is sufficient to retrieve an image of the region of interest. In such cases, the sampling rate achieved by the direct and the spectral methods of the discrete Fresnel transform could be excessive. A few algorithmic methods have been proposed to numerically compute samples of propagated wavefields while allowing down-sampling control. Nevertheless, all of them require the computation of at least two 2D discrete Fourier transforms which increases the computational load. Here, we propose the use of an aliasing operator and a single discrete Fourier transform to achieve an efficient method to down-sample the wavefields obtained by the Fresnel transform.

© 2012 OSA

OCIS Codes
(090.1760) Holography : Computer holography
(090.1995) Holography : Digital holography

ToC Category:
Holography

History
Original Manuscript: January 13, 2012
Revised Manuscript: March 2, 2012
Manuscript Accepted: March 6, 2012
Published: April 2, 2012

Citation
Modesto Medina-Melendrez, Albertina Castro, and Miguel Arias-Estrada, "Using an aliasing operator and a single discrete Fourier transform to down-sample the Fresnel transform," Opt. Express 20, 8815-8823 (2012)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-20-8-8815


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