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Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 52, Iss. 21 — Jul. 20, 2013
  • pp: 5247–5255

Lensless optical data hiding system based on phase encoding algorithm in the Fresnel domain

Yen-Yu Chen, Jian-Hong Wang, Cheng-Chung Lin, and Hone-Ene Hwang  »View Author Affiliations

Applied Optics, Vol. 52, Issue 21, pp. 5247-5255 (2013)

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A novel and efficient algorithm based on a modified Gerchberg–Saxton algorithm (MGSA) in the Fresnel domain is presented, together with mathematical derivation, and two pure phase-only masks (POMs) are generated. The algorithm’s application to data hiding is demonstrated by a simulation procedure, in which a hidden image/logo is encoded into phase forms. A hidden image/logo can be extracted by the proposed high-performance lensless optical data-hiding system. The reconstructed image shows good quality and the errors are close to zero. In addition, the robustness of our data-hiding technique is illustrated by simulation results. The position coordinates of the POMs as well as the wavelength are used as secure keys that can ensure sufficient information security and robustness. The main advantages of this proposed watermarking system are that it uses fewer iterative processes to produce the masks, and the image-hiding scheme is straightforward.

© 2013 Optical Society of America

OCIS Codes
(070.0070) Fourier optics and signal processing : Fourier optics and signal processing
(200.3050) Optics in computing : Information processing
(070.2025) Fourier optics and signal processing : Discrete optical signal processing

ToC Category:
Fourier Optics and Signal Processing

Original Manuscript: February 20, 2013
Revised Manuscript: May 19, 2013
Manuscript Accepted: May 20, 2013
Published: July 18, 2013

Yen-Yu Chen, Jian-Hong Wang, Cheng-Chung Lin, and Hone-Ene Hwang, "Lensless optical data hiding system based on phase encoding algorithm in the Fresnel domain," Appl. Opt. 52, 5247-5255 (2013)

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  1. P. Réfrégier and B. Javidi, “Optical image encryption based on input plane and Fourier plane random encoding,” Opt. Lett. 20, 767–769 (1995). [CrossRef]
  2. B. Javidi, G. Zhang, and J. Li, “Encrypted optical memory using double-random phase encoding,” Appl. Opt. 36, 1054–1058 (1997). [CrossRef]
  3. O. Matoba and B. Javidi, “Encrypted optical memory using multi-dimensional keys,” Opt. Lett. 24, 762–765 (1999). [CrossRef]
  4. O. Matoba and B. Javidi, “Encrypted optical storage with wavelength-key and random phase codes,” Appl. Opt. 38, 6785–6790 (1999). [CrossRef]
  5. G. Unnikrishnan, J. Joseph, and K. Singh, “Optical encryption by double-random phase encoding in the fractional Fourier domain,” Opt. Lett. 25, 887–889 (2000). [CrossRef]
  6. X. Tan, O. Matoba, T. Shimura, K. Kuroda, and B. Javidi, “Secure optical storage that uses fully phase encryption,” Appl. Opt. 39, 6689–6694 (2000). [CrossRef]
  7. P. C. Mogensen and J. Glückstad, “Phase-only optical encryption,” Opt. Lett. 25, 566–568 (2000). [CrossRef]
  8. X. Peng, L. Yu, and L. Cai, “Double-lock for image encryption with virtual optical wavelength,” Opt. Express 10, 41–45 (2002). [CrossRef]
  9. X. Peng, P. Zhang, and L. Cai, “Information security system based on virtual-optics imaging methodology and public key infrastructure,” Optik 115, 420–426 (2004). [CrossRef]
  10. H. E. Hwang and P. Han, “Fast algorithm of phase masks for image encryption in the Fresnel domain,” J. Opt. Soc. Am. A 23, 1870–1874 (2006). [CrossRef]
  11. H. E. Hwang, H. T. Chang, and W. N. Lie, “Fast double-phase retrieval in Fresnel domain using modified Gerchberg–Saxton algorithm for lensless optical security systems,” Opt. Express 17, 13700–13710 (2009). [CrossRef]
  12. H. E. Hwang, H. T. Chang, and W. N. Lie, “Multiple-image encryption and multiplexing using modified Gerchberg–Saxton algorithm and phase modulation in Fresnel transform domain,” Opt. Lett. 34, 3917–3919 (2009). [CrossRef]
  13. N. K. Nishchal, J. Joseph, and K. Singh, “Fully phase encryption using digital holography,” Opt. Eng. 43, 2959–2966 (2004). [CrossRef]
  14. H. Kim, D. H. Kim, and Y. H. Lee, “Encryption of digital hologram of 3-D object by virtue optics,” Opt. Express 12, 4912–4921 (2004). [CrossRef]
  15. G. Situ and J. Zhang, “A cascaded iterative Fourier transform algorithm for optical security applications,” Optik 114, 473–477 (2003). [CrossRef]
  16. G. Situ and J. Zhang, “A lensless optical security system based on computer-generated phase only masks,” Opt. Commun. 232, 115–122 (2004). [CrossRef]
  17. G. Situ and J. Zhang, “Double random-phase encoding in the Fresnel domain,” Opt. Lett. 29, 1584–1586 (2004). [CrossRef]
  18. G. Situ and J. Zhang, “Multiple-image encryption by wavelength multiplexing,” Opt. Lett. 30, 1306–1308 (2005). [CrossRef]
  19. Y. Li, K. Kreske, and J. Rosen, “Security and encryption optical systems based on a correlator with significant output image,” Appl. Opt. 39, 5295–5301 (2000). [CrossRef]
  20. D. Abookasis, O. Arazi, and B. Javidi, “Security optical systems based on a joint transform correlator with significant output,” Opt. Eng. 40, 1584–1589 (2001). [CrossRef]
  21. J. Rosen and B. Javidi, “Hidden images in halftone pictures,” Appl. Opt. 40, 3346–3353 (2001). [CrossRef]
  22. D. Abookasis, O. Montal, O. Abramson, and J. Rosen, “Watermarks encrypted in a concealogram and deciphered by a modified joint transform correlator,” Appl. Opt. 44, 3019–3023 (2005). [CrossRef]
  23. S. Sinzinger, “Microoptically integrated correlators for security applications,” Opt. Commun. 209, 69–74 (2002). [CrossRef]
  24. D. Mas, J. Garcia, C. Ferreira, L. M. Bernardo, and F. Marinho, “Fast algorithm for free-space diffraction patterns calculation,” Opt. Commun. 164, 233–245 (1999). [CrossRef]
  25. S. Deng, L. Liu, H. Lang, D. Zhao, and X. Liu, “Cascaded Fresnel digital hologram and its application to watermarking,” Opt. Appl. 36, 413–420 (2006).
  26. H. P. Herzig, ed., Micro-Optics (Taylor & Francis, 1996).
  27. R. W. Gerchberg and W. O. Saxton, “Phase determination for image and diffraction plane pictures in the electron microscope,” Optik 34, 275–283 (1971).
  28. R. W. Gerchberg and W. O. Saxton, “A practical algorithm for the determination of phase from image and diffraction plane pictures,” Optik 35, 237–246 (1972).
  29. W. X. Cong, N. X. Chen, and B. Y. Gu, “Phase retrieval in the Fresnel transform system: a recursive algorithm,” J. Opt. Soc. Am. A 16, 1827–1830 (1999). [CrossRef]

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