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Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 52, Iss. 1 — Jan. 1, 2013
  • pp: A26–A32

Intensity image-embedded binary holograms

Peter Wai Ming Tsang, Ting-Chung Poon, and Wai Keung Cheung  »View Author Affiliations

Applied Optics, Vol. 52, Issue 1, pp. A26-A32 (2013)

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Past research has demonstrated that, by downsampling the source object scene in multiple directions, a binary Fresnel hologram can be generated to preserve favorable quality on the reconstructed image. In this paper, we will show that a binary hologram generated with such an approach is also insensitive to noise contamination. On this basis, we propose a method to embed an intensity image into the binary hologram. To prevent the embedded information from being tampered or retrieved with unauthorized means, scrambling is applied to relocate each pixel to a unique position in the binary hologram according to a random assignment that is only known with the availability of a descrambling key. Experimental results demonstrate that our proposed method is capable of embedding an intensity image that is one quarter the size of the binary hologram without causing observable degradation on the reconstructed image. In addition, the embedded image can be retrieved with acceptable quality even if the binary hologram is damaged and contaminated with noise.

© 2013 Optical Society of America

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

Original Manuscript: July 20, 2012
Revised Manuscript: September 12, 2012
Manuscript Accepted: September 12, 2012
Published: October 11, 2012

Peter Wai Ming Tsang, Ting-Chung Poon, and Wai Keung Cheung, "Intensity image-embedded binary holograms," Appl. Opt. 52, A26-A32 (2013)

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  1. T.-C. Poon, ed., Digital Holography and Three-Dimensional Display: Principles and Applications (Springer, 2006).
  2. L. C. Ferri, “Visualization of 3D information with digital holography using laser printers,” Comput. Graph. 25, 309–321 (2001). [CrossRef]
  3. H. Yoshikawa and M. Tachinami, “Development of direct fringe printer for computer-generated holograms,” Proc. SPIE 5742, 259–266 (2005). [CrossRef]
  4. A. W. Lohmann and D. P. Paris, “Binary Fraunhofer holograms, generated by computer,” Appl. Opt. 6, 1739–1748 (1967). [CrossRef]
  5. B. R. Brown and A. W. Lohmann, “Computer-generated binary holograms,” IBM J. Res. Devel. 13, 160–168 (1969). [CrossRef]
  6. M. P. Chang and O. K. Ersoy, “Iterative interlacing error diffusion for synthesis of computer-generated holograms,” Appl. Opt. 32, 3122–3129 (1993). [CrossRef]
  7. E. Zhang, S. Noehte, C. H. Dietrich, and R. Männer, “Gradual and random binarization of gray-scale holograms,” Appl. Opt. 34, 5987–5995 (1995). [CrossRef]
  8. B. B. Chhetri, S. Yang, and T. Shimomura, “Iterative stepwise binarization of digital amplitude holograms with added energy to the signal window,” Opt. Eng. 40, 2718–2725 (2001). [CrossRef]
  9. R. W. Floyd and L. Steinberg, “An adaptive algorithm for spatial grey scale,” Proc. Soc. Inf. Disp 17, 75–77 (1976).
  10. R. Eschbach, “Comparison of error diffusion methods for computer-generated holograms,” Appl. Opt. 30, 3702–3710 (1991). [CrossRef]
  11. R. Eschbach and Z. Fan, “Complex-valued error diffusion for off-axis computer-generated holograms,” Appl. Opt. 32, 3130–3136 (1993). [CrossRef]
  12. R. L. Easton, R. Eschbach, and R. Nagarajan, “Error diffusion in cell-oriented Fourier-transform computer-generated holograms to compensate for printing constraints,” J. Mod. Opt. 43, 1219–1236 (1996). [CrossRef]
  13. F. Fetthauer, S. Weissbach, and O. Bryngdahl, “Computer-generated Fresnel holograms: quantization with the error diffusion algorithm,” Opt. Commun. 114, 230–234 (1995). [CrossRef]
  14. P. Tsang, T.-C. Poon, W.-K. Cheung, and J.-P. Liu, “Computer generation of binary Fresnel holography,” Appl. Opt. 50, B88–B95 (2011). [CrossRef]
  15. W. K. Cheung, P. Tsang, T.-C. Poon, and C.-H. Zhou, “Enhanced method for the generation of binary Fresnel holograms based on grid-cross downsampling,” Chinese Opt. Lett. 9, 120005 (2011). [CrossRef]
  16. C. Martinez, O. Lemonnier, F. Laulagnet, A. Fargeix, F. Tissot, and M. Armand, “Complementary computer generated holography for aesthetic watermarking,” Opt. Express 20, 5547–5556 (2012). [CrossRef]
  17. K. Tanaka, “Embedding of computer-generated hologram in a dithered image,” Appl. Opt. 50, H315–H326 (2011). [CrossRef]
  18. X. Zhou, L. Chen, and J. Shao, “Investigation of digital hologram watermarking with double binary phase encoding,” Proc. SPIE 5636, 220–228 (2005). [CrossRef]
  19. A. Yoshinao, “Watermarking technique using computer generated holograms,” Electron. Commun. Jpn. III 84, 21–31 (2001).
  20. X. Shi and D. Zhao, “Image hiding in Fourier domain by use of joint transform correlator architecture and holographic technique,” Appl. Opt. 50, 766–772 (2011). [CrossRef]
  21. N. K. Nishchal, T. Pitkaaho, and T. J. Naughton, “Digital Fresnel hologram watermarking,” in Proceedings of the 9th Euro-American Workshop on Information Optics (WIO) (IEEE, 2010), pp. 1–3.
  22. S. Deng, L. Liu, H. Lang, W. Pan, and D. Zhao, “Hiding an image in cascaded Fresnel digital holograms,” Chin. Opt. Lett. 4, 268–271 (2006).
  23. P. Tsang, W.-K. Cheung, T.-C. Poon, and J.-P. Liu, “An enhanced method for generation of binary Fresnel hologram based on adaptive and uniform grid-cross down-sampling,” Opt. Commun. 285, 4027–4032 (2012). [CrossRef]

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