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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 26, Iss. 14 — Jul. 15, 1987
  • pp: 2788–2798

Synthesis of digital holograms by direct binary search

Michael A. Seldowitz, Jan P. Allebach, and Donald W. Sweeney  »View Author Affiliations


Applied Optics, Vol. 26, Issue 14, pp. 2788-2798 (1987)
http://dx.doi.org/10.1364/AO.26.002788


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Abstract

A new approach to the design of computer-generated holograms makes optimal use of the available device resolution. An iterative search algorithm minimizes an error criterion by directly manipulating the binary hologram and observing the effect on the desired reconstruction. Several measures of error and efficiency useful in assessing the optimality of digital holograms are defined. Methods for designing digital holograms that are based on projections and error diffusion are presented as established techniques for comparison to direct binary search.

© 1987 Optical Society of America

History
Original Manuscript: April 1, 1987
Published: July 15, 1987

Citation
Michael A. Seldowitz, Jan P. Allebach, and Donald W. Sweeney, "Synthesis of digital holograms by direct binary search," Appl. Opt. 26, 2788-2798 (1987)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-26-14-2788


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References

  1. J. P. Allebach, N. C. Gallagher, B. Liu, “Aliasing Error in Digital Holography,” Appl. Opt. 15, 2183 (1976). [CrossRef] [PubMed]
  2. S. Kirkpatrick, C. D. Gelatt, M. P. Vecchi, “Optimization by Simulated Annealing,” Science 220, 671 (1983). [CrossRef] [PubMed]
  3. P. Carnevali, L. Coletti, S. Patarnello, “Image Processing By Simulated Annealing,” IBM J. Res. Dev. 29, 569 (1985). [CrossRef]
  4. N. Metropolis, A. Rosenbluth, M. Rosenbluth, A. Teller, E. Teller, “Equation of State Calculations by Fast Computing Machines,” J. Chem. Phys. 21, 1087 (1953). [CrossRef]
  5. J. P. Allebach, “Design of Antialising Patterns for Time-Sequential Sampling of Spatiotemporal Signals,” IEEE Trans. Acoust. Speech Signal Process. ASSP-32, 137 (1984). [CrossRef]
  6. J. A. Bucklew, B. E. A. Saleh, “Theorem for High-Resolution High Contrast Image Synthesis,” J. Opt. Soc. Am. A 2, 1233 (1985). [CrossRef]
  7. J. P. Allebach, B. Liu, “Minimax Spectrum Shaping with a Bandwidth Constraint,” Appl. Opt. 14, 3062 (1975). [CrossRef] [PubMed]
  8. W. J. Dallas, “Computer-Generated Holograms,” in The Computer in Optical Research, B. R. Frieden, Ed. (Springer-Verlag, New York, 1980), pp. 291–366.
  9. J. P. Allebach, “Representation-Related Errors in Binary Digital Holograms: A Unified Analysis,” Appl. Opt. 20, 290 (1981). [CrossRef] [PubMed]
  10. R. H. Squires, J. P. Allebach, “Digital Holograms: A Guide to Reducing Quantization and Phase Encoding Errors,” Proc. Soc. Photo-Opt. Instrum. Eng. 437, 12 (1983).
  11. N. C. Gallagher, J. A. Bucklew, “Nondetour Phase Digital Holograms: An Analysis,” Appl. Opt. 19, 4266 (1980). [CrossRef] [PubMed]
  12. R. Hauck, O. Bryngdahl, “Computer-Generated Holograms with Pulse-Density Modulation,” J. Opt. Soc. Am. A 1, 5 (1984). [CrossRef]
  13. R. W. Floyd, L. Steinberg, “An Adaptive Algorithm for Spatial Greyscale,” Proc. Soc. Inf. Disp. 17, (1976).
  14. N. C. Gallagher, B. Liu, “Method for Computing Kinoforms that Reduces Image Reconstruction Error,” Appl. Opt. 12, 2328 (1973). [CrossRef] [PubMed]
  15. W. E. Ross, K. M. Snapp, R. H. Anderson, “Fundamental Characteristics of the Litton Iron Garnet Magneto-Optic Spatial Light Modulator,” Proc. Soc. Photo-opt. Instrum. Eng. 388, 55 (1983).

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