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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 15, Iss. 8 — Aug. 1, 1998
  • pp: 2117–2137

Cohen’s bilinear class of shift-invariant space/spatial-frequency signal representations for particle-location analysis of in-line Fresnel holograms

Mehmet Tankut Özgen and Kerim Demirbaş  »View Author Affiliations


JOSA A, Vol. 15, Issue 8, pp. 2117-2137 (1998)
http://dx.doi.org/10.1364/JOSAA.15.002117


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Abstract

The Cohen bilinear class of shift-invariant space-frequency representations provides an automated means for extracting three-dimensional particle locations from in-line holograms without any focusing. For two-dimensional holograms a fixed-frequency slice technique, based on examining, concurrently, the zero-frequency slice and a nonzero-frequency slice of the two-dimensional representation used, is developed for particle-location analysis. The trade-off between auto-term sharpness and cross-term suppression for a multiple-particle hologram is achieved by relating kernel parameters of the representation to the smallest planar interparticle distance determined from the hologram by visual inspection with simple rules that result from an ambiguity-function-domain analysis. In addition, one-dimensional Cohen class representations are used to obtain complete space-frequency patterns that display object-location information and illustrate the cross-term suppression, for multiple-object one-dimensional holograms. The proposed techniques are implemented digitally, and the results are presented.

© 1998 Optical Society of America

OCIS Codes
(070.6020) Fourier optics and signal processing : Continuous optical signal processing
(090.0090) Holography : Holography
(100.2000) Image processing : Digital image processing
(100.2650) Image processing : Fringe analysis
(110.6980) Imaging systems : Transforms

History
Original Manuscript: October 16, 1997
Revised Manuscript: April 8, 1998
Manuscript Accepted: April 16, 1998
Published: August 1, 1998

Citation
Mehmet Tankut Özgen and Kerim Demirbaş, "Cohen’s bilinear class of shift-invariant space/spatial-frequency signal representations for particle-location analysis of in-line Fresnel holograms," J. Opt. Soc. Am. A 15, 2117-2137 (1998)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-15-8-2117

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