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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 16, Iss. 7 — Mar. 31, 2008
  • pp: 4819–4823

Optical generation of Voronoi Diagram

F. Giavazzi, R. Cerbino, S. Mazzoni, M. Giglio, and A. Vailati  »View Author Affiliations


Optics Express, Vol. 16, Issue 7, pp. 4819-4823 (2008)
http://dx.doi.org/10.1364/OE.16.004819


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Abstract

We present results of experiments of diffraction by an amplitude screen, made of randomly distributed circular holes. By careful selection of the experimental parameters we obtain an intensity pattern strongly connected to the Voronoi diagram (VD) generated by the centers of the apertures. With the help of simulations we give a description of the observed phenomenon and elucidate the optimal parameters for its observation. Finally, we also suggest how it can be used for a fast, all-optical generation of VDs.

© 2008 Optical Society of America

OCIS Codes
(070.0070) Fourier optics and signal processing : Fourier optics and signal processing
(200.4740) Optics in computing : Optical processing
(200.4960) Optics in computing : Parallel processing

ToC Category:
Fourier optics and signal processing

History
Original Manuscript: October 11, 2007
Revised Manuscript: November 22, 2007
Manuscript Accepted: November 30, 2007
Published: March 25, 2008

Citation
F. Giavazzi, R. Cerbino, S. Mazzoni, M. Giglio, and A. Vailati, "Optical generation of Voronoi diagram," Opt. Express 16, 4819-4823 (2008)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-16-7-4819


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References

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  9. M. Giglio, M. Carpineti, and A. Vailati, "Space intensity correlations in the near field of the scattered light: A direct measurement of the density correlation function g(r)," Phys. Rev Lett. 85, 1416 (2000). [CrossRef] [PubMed]
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  12. B. Jähne, Digital Image Processing (Springer, 1995), Chap. 12.
  13. T. Bräunl, Parallel Image Processing (Springer, 2001), Chap. 5.

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