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Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 22, Iss. 5 — Mar. 10, 2014
  • pp: 5060–5066

Fast conversion of digital Fresnel hologram to phase-only hologram based on localized error diffusion and redistribution

P. W. M. Tsang, A. S. M. Jiao, and T.-C. Poon  »View Author Affiliations


Optics Express, Vol. 22, Issue 5, pp. 5060-5066 (2014)
http://dx.doi.org/10.1364/OE.22.005060


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Abstract

Past research has demonstrated that a digital, complex Fresnel hologram can be converted into a phase-only hologram with the use of the bi-direction error diffusion (BERD) algorithm. However, the recursive nature error diffusion process is lengthy and increases monotonically with hologram size. In this paper, we propose a method to overcome this problem. Briefly, each row of a hologram is partitioned into short non-overlapping segments, and a localized error diffusion algorithm is applied to convert the pixels in each segment into phase only values. Subsequently, the error signal is redistributed with low-pass filtering. As the operation on each segment is independent of others, the conversion process can be conducted at high speed with the graphic processing unit. The hologram obtained with the proposed method, known as the Localized Error Diffusion and Redistribution (LERDR) hologram, is over two orders of magnitude faster than that obtained by BERD for a 2048 × 2048 hologram, exceeding the capability of generating quality phase-only holograms in video rate.

© 2014 Optical Society of America

OCIS Codes
(090.0090) Holography : Holography
(090.1760) Holography : Computer holography
(090.1995) Holography : Digital holography

ToC Category:
Holography

History
Original Manuscript: January 2, 2014
Revised Manuscript: January 30, 2014
Manuscript Accepted: January 30, 2014
Published: February 25, 2014

Citation
P. W. M. Tsang, A. S. M. Jiao, and T.-C. Poon, "Fast conversion of digital Fresnel hologram to phase-only hologram based on localized error diffusion and redistribution," Opt. Express 22, 5060-5066 (2014)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-22-5-5060


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References

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