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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: Joseph N. Mait
  • Vol. 50, Iss. 31 — Nov. 1, 2011
  • pp: 6019–6025

Single-channel color image encryption using a modified Gerchberg–Saxton algorithm and mutual encoding in the Fresnel domain

Xiaopeng Deng and Daomu Zhao  »View Author Affiliations


Applied Optics, Vol. 50, Issue 31, pp. 6019-6025 (2011)
http://dx.doi.org/10.1364/AO.50.006019


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Abstract

A single-channel color image encryption is proposed based on the modified Gerchberg–Saxton algorithm (MGSA) and mutual encoding in the Fresnel domain. Similar to the double random phase encoding (DRPE), this encryption scheme also employs a pair of phase-only functions (POFs) as encryption keys. But the two POFs are generated by the use of the MGSA rather than a random function generator. In the encryption process, only one color component is needed to be encrypted when these POFs are mutually served as the second encryption keys. As a result, a more compact and simple color encryption system based on one-time-pad, enabling only one gray cipheretext to be recorded and transmitted when holographic recording is used, is obtained. Moreover, the optical setup is lensless, thus easy to be implemented and the system parameters and wavelength can be served as additional keys to further enhance the security of the system. The feasibility and effectiveness of the proposed method are demonstrated by numerical results.

© 2011 Optical Society of America

OCIS Codes
(070.0070) Fourier optics and signal processing : Fourier optics and signal processing
(100.2000) Image processing : Digital image processing
(100.5070) Image processing : Phase retrieval

ToC Category:
Fourier Optics and Signal Processing

History
Original Manuscript: May 9, 2011
Revised Manuscript: June 16, 2011
Manuscript Accepted: June 21, 2011
Published: October 31, 2011

Citation
Xiaopeng Deng and Daomu Zhao, "Single-channel color image encryption using a modified Gerchberg–Saxton algorithm and mutual encoding in the Fresnel domain," Appl. Opt. 50, 6019-6025 (2011)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-50-31-6019


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References

  1. P. Refregier and B. Javidi, “Optical image encryption based on input plane and Fourier plane random encoding,” Opt. Lett. 20, 767–769 (1995). [CrossRef] [PubMed]
  2. P. C. Mogensen and J. Gluckstad, “Phase-only optical encryption,” Opt. Lett. 25, 566–568 (2000). [CrossRef]
  3. Y. Li, K. Kreske, and J. Rosen, “Security and encryption optical systems based on a correlator with significant output images,” Appl. Opt. 39, 5295–5301 (2000). [CrossRef]
  4. E. Tajahuerce, O. Matoba, S. C. Verrall, and B. Javidi, “Optoelectronic information encryption with phase-shifting interferometry,” Appl. Opt. 39, 2313–2320 (2000). [CrossRef]
  5. C. L. Mela and C. Iemmi, “Optical encryption using phase-shifting interferometry in a joint transform correlator,” Opt. Lett. 31, 2562–2564 (2006). [CrossRef] [PubMed]
  6. B. Javidi and T. Nomura, “Polarization encoding for optical security systems,” Opt. Eng. 39, 2439–2443 (2000). [CrossRef]
  7. X. Peng, L. Yu, and L. Cai, “Double-lock for image encryption with virtual optical wavelength,” Opt. Express 10, 41–45 (2002). [PubMed]
  8. 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]
  9. G. Situ and J. Zhang, “Double random-phase encoding in the Fresnel domain,” Opt. Lett. 29, 1584–1586 (2004). [CrossRef] [PubMed]
  10. G. Situ and J. Zhang, “A lensless optical security system based on computer- generated phase only masks,” Opt. Commun. 232, 115–122 (2004). [CrossRef]
  11. Z. Liu, L. Xu, Q. Guo, C. Lin, and S. Liu, “Image watermarking by using phase retrieval algorithm in gyrator transform domain,” Opt. Commun. 283, 4923–4927(2010). [CrossRef]
  12. Z. Liu, L. Xu, C. Lin, and S. Liu, “Image encryption by encoding with a nonuniform optical beam in gyrator transform domains,” Appl. Opt. 49, 5632–5637 (2010). [CrossRef] [PubMed]
  13. X. Meng, L. Cai, Y. Wang, X. Yang, X. Xu, G. Dong, X. Shen, H. Zhang, and X. Cheng, “Hierarchical image encryption based on cascaded iterative phase retrieval algorithm in the Fresnel domain,” J. Opt. A 9, 1070–1075(2007). [CrossRef]
  14. S. Q. Zhang and M. A. Karim, “Color image encryption using double random phase encoding,” Microw. Opt. Technol. Lett. 21, 318–323 (1999). [CrossRef]
  15. L. F. Chen and D. M. Zhao, “Optical color image encryption by wavelength multiplexing and lensless Fresnel transform holograms,” Opt. Express 14, 8552–8560 (2006). [CrossRef] [PubMed]
  16. M. Joshi, C. Shakher, and K. Singh, “Logarithms-based RGB image encryption in the fractional Fourier domain: a non-linear approach,” Opt. Lasers Eng. 47, 721–727(2009). [CrossRef]
  17. W. Chen, C. Quan, and C. J. Tay, “Optical color image encryption based on Arnold transform and interference method,” Opt. Commun. 282, 3680–3685 (2009). [CrossRef]
  18. H. E. Hwang, H. T. Chang, and W. N. Lie, “Multiple-image encryption and multiplexing using a modified Gerchberg–Saxton algorithm and phase modulation in Fresnel-transform domain,” Opt. Lett. 34, 3917–3919 (2009). [CrossRef] [PubMed]
  19. H.P.Herzig, ed., Micro-Optics (Taylor & Francis, 1996).
  20. D. Mendlovic, Z. Zalevsky, and N. Konforti, “Computation considerations and fast algorithms for calculating the diffraction integral,” J. Mod. Opt. 44, 407–414 (1997). [CrossRef]
  21. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, 1968).

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