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Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 14, Iss. 12 — Jun. 12, 2006
  • pp: 5129–5134

A companding approach for nonuniform quantization of digital holograms of three-dimensional objects

Alison E. Shortt, Thomas J. Naughton, and Bahram Javidi  »View Author Affiliations


Optics Express, Vol. 14, Issue 12, pp. 5129-5134 (2006)
http://dx.doi.org/10.1364/OE.14.005129


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Abstract

We apply two novel nonuniform quantization techniques to digital holograms of three-dimensional real-world objects. Our companding approach, combines the efficiency of uniform quantization with the improved performance of nonuniform quantization. We show that the performance of companding techniques can be comparable with k-means clustering and a competitive neural network, while only requiring a single-pass processing step. The quantized holographic pixels are coded using lossless techniques for the calculation of compression ratio.

© 2006 Optical Society of America

OCIS Codes
(090.0090) Holography : Holography
(100.2000) Image processing : Digital image processing
(100.6890) Image processing : Three-dimensional image processing

ToC Category:
Holography

History
Original Manuscript: April 13, 2006
Manuscript Accepted: May 15, 2006
Published: June 12, 2006

Citation
Alison E. Shortt, Thomas J. Naughton, and Bahram Javidi, "A companding approach for nonuniform quantization of digital holograms of three-dimensional objects," Opt. Express 14, 5129-5134 (2006)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-14-12-5129


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References

  1. J. W. Goodman and R. W. Lawrence, "Digital image formation from electronically detected holograms," Appl. Phys. Lett. 11, 77-79 (1967). [CrossRef]
  2. J. H. Bruning, D. R. Herriott, J. E. Gallagher, D. P. Rosenfeld, A. D. White, and D. J. Brangaccio, "Digital wavefront measuring interferometer for testing optical surfaces and lenses," Appl. Opt. 13(11), 2693-2703 (1974). [CrossRef]
  3. L. Onural and P. D. Scott, "Digital decoding of in-line holograms," Opt. Eng. 26(11), 1124-1132 (1987).
  4. U. Schnars and W. P. O. Jüptner, "Direct recording of holograms by a CCD target and numerical reconstruction," Appl. Opt. 33(2), 179-181 (1994). [CrossRef]
  5. I. Yamaguchi and T. Zhang, "Phase-shifting digital holography," Opt. Lett. 22(16), 1268-1270 (1997). [CrossRef]
  6. E. Cuche, F. Bevilacqua, and C. Depeursinge, "Digital holography for quantitative phase-contrast imaging," Opt. Lett. 24(5), 291-293 (1999). [CrossRef]
  7. T. Kreis, Handbook of Holographic Interferometry: Optical and Digital Methods (Wiley-VCH, Berlin, 2004). [CrossRef]
  8. B. Javidi and F. Okano, eds., Three-Dimensional Television, Video, and Display Technologies (Springer, Berlin, 2002).
  9. B. Javidi and E. Tajahuerce, "Three-dimensional object recognition by use of digital holography," Opt. Lett. 25(9), 610-612 (2000). [CrossRef]
  10. H. J. Caulfield, ed., Handbook of Optical Holography (Academic Press, New York, 1979).
  11. J. W. Goodman, Introduction to Fourier Optics, 2nd ed. (McGraw-Hill, New York, 1996).
  12. T. J. Naughton, J. B. Mc Donald, and B. Javidi, "Efficient compression of Fresnel fields for Internet transmission of three-dimensional images," Appl. Opt. 42(23), 4758-4764 (2003). [CrossRef]
  13. T. J. Naughton, Y. Frauel, B. Javidi, and E. Tajahuerce, "Compression of digital holograms for three-dimensional object reconstruction and recognition," Appl. Opt. 41(20), 4124-4132 (2002). [CrossRef]
  14. W. J. Dallas and A. W. Lohmann, "Phase quantization in holograms - depth effects," Appl. Opt. 11(1), 192-194 (1972). [CrossRef]
  15. T. Nomura, A. Okazaki, M. Kameda, Y. Morimoto, and B. Javidi, "Image reconstruction from compressed encrypted digital hologram," Opt. Eng. 44(7), 075,801-1-075,801-7 (2005).
  16. O. Matoba, T. J. Naughton, Y. Frauel, N. Bertaux, and B. Javidi, "Real-time three-dimensional object reconstruction by use of a phase-encoded digital hologram," Appl. Opt. 41(29), 6187-6192 (2002). [CrossRef]
  17. T. J. Naughton and B. Javidi, "Compression of encrypted three-dimensional objects using digital holography," Opt. Eng. 43(10), 2233-2238 (2004). [CrossRef]
  18. D. Kayser, T. Kreis, and W. Jüptner, "Compression of digital holographic data using its electromagnetic field properties," Proc. SPIE 5908, 97-105 (2005).
  19. I. Yamaguchi, K. Yamamoto, G. A. Mills, and M. Yokota, "Image reconstruction only by phase in phase-shifting digital holography," Appl. Opt. 45(5), 975-983 (2006). [CrossRef]
  20. E. Darakis and J. J. Soraghan, "Compression of interference patterns with application to phase-shifting digital holography," Appl. Opt. 45 2437-2443 (2006). [CrossRef] [PubMed]
  21. A. E. Shortt, T. J. Naughton, and B. Javidi, "Compression of digital holograms of three-dimensional objects using wavelets," Opt. Express 14(7), 2625-2630 (2006). [CrossRef]
  22. J. MacQueen, "Some methods for classification and analysis of multivariate observations." Proceedings of the Fifth Berkeley Symposium on Mathematical Statistics and Probability 1, 281-297 (1967).
  23. T. Kohonen, Self-Organizing Maps (Springer-Verlag, Berlin, 1994).
  24. D. A. Huffman, "A method for the construction of minimum redundancy codes," Proc. IRE 40, 1098-1101 (1952). [CrossRef]
  25. J. Ziv and A. Lempel, "A universal algorithm for sequential data compression," IEEE Trans. Inf. Theory IT-23(3), 337-343 (1977). [CrossRef]
  26. T. A. Welch, "A technique for high performance data compression," IEEE Computer 17(6), 8-19 (1984). [CrossRef]
  27. M. Burrows and D. J. Wheeler, "A block-sorting lossless data compression algorithm," Tech. Rep. 124, Digital Systems Research Center, Palo Alto, California (1994).

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