OSA's Digital Library

Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 51, Iss. 7 — Mar. 1, 2012
  • pp: 1000–1009

Multiple-image encryption by compressive holography

Hong Di, Kangfeng Zheng, Xin Zhang, Edmund Y. Lam, Taegeun Kim, You Seok Kim, Ting-Chung Poon, and Changhe Zhou  »View Author Affiliations

Applied Optics, Vol. 51, Issue 7, pp. 1000-1009 (2012)

View Full Text Article

Enhanced HTML    Acrobat PDF (2881 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We present multiple-image encryption (MIE) based on compressive holography. In the encryption, a holographic technique is employed to record multiple images simultaneously to form a hologram. The two-dimensional Fourier data of the hologram are then compressed by nonuniform sampling, which gives rise to compressive encryption. Decryption of individual images is cast into a minimization problem. The minimization retains the sparsity of recovered images in the wavelet basis. Meanwhile, total variation regularization is used to preserve edges in the reconstruction. Experiments have been conducted using holograms acquired by optical scanning holography as an example. Computer simulations of multiple images are subsequently demonstrated to illustrate the feasibility of the MIE scheme.

© 2012 Optical Society of America

OCIS Codes
(090.1760) Holography : Computer holography
(100.3020) Image processing : Image reconstruction-restoration
(100.3190) Image processing : Inverse problems
(090.1995) Holography : Digital holography
(060.4785) Fiber optics and optical communications : Optical security and encryption

ToC Category:

Original Manuscript: September 19, 2011
Revised Manuscript: January 10, 2012
Manuscript Accepted: January 10, 2012
Published: March 1, 2012

Hong Di, Kangfeng Zheng, Xin Zhang, Edmund Y. Lam, Taegeun Kim, You Seok Kim, Ting-Chung Poon, and Changhe Zhou, "Multiple-image encryption by compressive holography," Appl. Opt. 51, 1000-1009 (2012)

Sort:  Author  |  Year  |  Journal  |  Reset  


  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]
  2. T.-C. Poon, T. Kim, and K. Doh, “Optical scanning cryptography for secure wireless transmission,” Appl. Opt. 42, 6496–6503 (2003). [CrossRef]
  3. 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]
  4. Z. Liu, Y. Zhang, H. Zhao, M. A. Ahmad, and S. Liu, “Optical multi-image encryption based on frequency shift,” Optik 122, 1010–1013 (2011). [CrossRef]
  5. G. Situ and J. Zhang, “Multiple-image encryption by wavelength multiplexing,” Opt. Lett. 30, 1306–1308 (2005). [CrossRef]
  6. Z. Liu and S. Liu, “Double image encryption based on iterative fractional Fourier transform,” Opt. Commun. 275, 324–329 (2007). [CrossRef]
  7. X. F. Meng, L. Z. Cai, M. Z. He, G. Y. Dong, and X. X. Shen, “Cross-talk free image encryption and watermarking by digital holography and random composition,” Opt. Commun. 269, 47–52 (2007). [CrossRef]
  8. S. L. Diab, “Developing an algorithm for compression, multiplexing and enhancement of multiple images,” Opt. Laser Technol. 43, 838–847 (2011). [CrossRef]
  9. O. Matoba, T. Nomura, E. Perez-Cabre, M. S. Millan, and B. Javidi, “Optical techniques for information security,” Proc. IEEE 97, 1128–1148 (2009). [CrossRef]
  10. Y. Frauel, T. J. Naughton, O. Matoba, E. Tajahuerce, and B. Javidi, “Three-dimensional imaging and processing using computational holographic imaging,” Proc. IEEE 94, 636–653 (2006). [CrossRef]
  11. S. Soontaranon and J. Widjaja, “Holographic image encryption by using random phase modulation of plane wave,” Opt. Lasers Eng. 48, 994–999 (2010). [CrossRef]
  12. J. F. Heanue, M. C. Bashaw, and L. Hesselink, “Encrypted holographic data storage based on orthogonal-phase-code multiplexing,” Appl. Opt. 34, 6012–6015 (1995). [CrossRef]
  13. P. Tsang, W. K. Cheung, T. Kim, Y. S. Kim, and T.-C. Poon, “Low-complexity compression of holograms based on delta modulation,” Opt. Commun. 284, 2113–2117(2011). [CrossRef]
  14. W.-C. Su, C.-C. Sun, Y.-C. Chen, and Y. Ouyang, “Duplication of phase key for random-phase-encrypted volume holograms,” Appl. Opt. 43, 1728–1733 (2004). [CrossRef]
  15. C.-C. Sun and W.-C. Su, “Three-dimensional shifting selectivity of random phase encoding in volume holograms,” Appl. Opt. 40, 1253–1260 (2001). [CrossRef]
  16. C. Denz, K. O. Mueller, F. Visinka, and T. T. Tschudi, “Digital volume holographic data storage using phase-coded multiplexing,” Proc. SPIE, 142–147 (1999). [CrossRef]
  17. X. Zhang, E. Y. Lam, and T.-C. Poon, “Reconstruction of sectional images in holography using inverse imaging,” Opt. Express 16, 17215–17226 (2008). [CrossRef]
  18. E. Y. Lam, X. Zhang, H. Vo, T.-C. Poon, and G. Indebetouw, “Three-dimensional microscopy and sectional image reconstruction using optical scanning holography,” Appl. Opt. 48, H113–H119 (2009). [CrossRef]
  19. X. Zhang, E. Y. Lam, T. Kim, Y. S. Kim, and T.-C. Poon, “Blind sectional image reconstruction for optical scanning holography,” Opt. Lett. 34, 3098–3100 (2009). [CrossRef]
  20. J. Ke, T.-C. Poon, and E. Y. Lam, “Depth resolution enhancement in optical scanning holography with a dual-wavelength laser source,” Appl. Opt. 50, H285–H296 (2011). [CrossRef]
  21. T.-C. Poon, “Scanning holography and two-dimensional image processing by acousto-optic two-pupil synthesis,” J. Opt. Soc. Am. A 2, 521–527 (1985). [CrossRef]
  22. T.-C. Poon and G. Indebetouw, “Three-dimensional point spread functions of an optical heterodyne scanning image processor,” Appl. Opt. 42, 1485–1492 (2003). [CrossRef]
  23. T. C. Poon, Optical Scanning Holography with MATLAB (Springer-Verlag, 2007).
  24. J. W. Goodman, Introduction to Fourier Optics, 3rd ed.(Roberts & Co., 2005).
  25. X. Zhang and E. Y. Lam, “Edge-preserving sectional image reconstruction in optical scanning holography,” J. Opt. Soc. Am. A 27, 1630–1637 (2010). [CrossRef]
  26. Y. Rivenson, A. Stern, and B. Javidi, “Compressive Fresnel holography,” J. Display Technol. 6, 506–509 (2010). [CrossRef]
  27. L. He and L. Carin, “Exploiting structure in wavelet-based Bayesian compressive sensing,” IEEE Trans. Signal Process. 57, 3488–3497 (2009). [CrossRef]
  28. E. Candès and J. Romberg, “Sparsity and incoherence in compressive sampling,” Inverse Probl. 23, 969–985 (2007). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited