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Digital Hologram Encryption using Discrete Wavelet Packet Transform  

Seo, Young-Ho (광운대학교 교양학부 IT)
Choi, Hyun-Jun (광운대학교 전자재료공학과)
Kim, Dong-Wook (광운대학교 전자재료공학과)
Abstract
In this paper, we propose a new method which estimates and encrypts significant component of digital hologram using discrete wavelet packet transform (DWPT). After analyzing the characteristics of digital hologram in spatial and frequency domain, the required information for ciphering digital hologram was extracted. Based on this information an ciphering method was proposed with wavelet transform and packetization of subbands. The proposed algorithm can encrypt digital hologram in various robust from selecting transform-level and energy threshold. From analyzing the encryption effect numerically and visually, the optimized parameter for encryption is presented. Without additional analyzing process, one can encrypt efficiently digital hologram using the proposed parameter. Although only 0.032% among total data is encrypted, the reconstructed object dose not identified. The paketization information of subbands and the cipher key can be used for the entire secret key.
Keywords
Digital hologram; Fringe pattern; Encryption; 3 dimensional image; DWPT;
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  • Reference
1 P. Hariharan, "Basics of Holography," Cambridge University Press, 2002
2 D.-W. Kim, H.-J. Choi, Y.-G. Choi, J.-S. Yoo, and Y.-H. Seo, "Information hiding for digital holograms by electronic partial encryption methods," Optics communication, Vol.277, Issue 2, pp.277-287, Sept. 2007   DOI   ScienceOn
3 R. M. Rao, A. S. Bopardikar, and T. Boros, "Wavelet transforms, introduction to theory and application," Prentice Hall PTR, 1st edition, Sept. 1998
4 Z. Xiong, K. Ramchandran, M. T. Orchard, "Wavelet Packet Image Coding Using Space-Frequency Quantization," IEEE Trans.on Image Processing, Vol.7, No.6, pp.892-898, June 1998   DOI   ScienceOn
5 X. Wang, D. Zhao, and L. Chen, "Image encryption based on extended fractional Fourier transform and digital holography technique," Optics Communication, Vol.260, pp.449-453, 2006
6 B. Javidi and F. Okano, "Three Dimensional Television, Video, and Display Technologies," Springer Verlag Berlin. March 2002
7 B. R. Brown and A. W. Lohmann, "Computer-generated Binary Holograms," IBM Journal of research and Development, Vol.13, No.2, pp.160-168, March 1969   DOI
8 Y.-H. Seo, H.-J. Choi, and D.-W. Kim, "Lossy Coding Technique for Digital Holographic Signal", SPIE Optical Engineering, Vol.45, No.6, pp.065802-1-065802-10, Jun. 2006   DOI
9 T. J. Naughton and B. Javidi, "Compression of encrypted three-dimensional objects using digital holography," Opt. Eng., Vol.43, No.10, pp.2233-2238, Oct. 2004   DOI   ScienceOn
10 I. Daubechies and W. Sweldens, "Factoring wavelet transforms into lifting schemes," J.Fourier Anal. Appl., Vol.4, pp.247-269, 1998   DOI   ScienceOn
11 Y.-Y. Wang, Y.-R. Wang, Y. Wang, H.-J. Li, and W.-J. Sun, "Optical image encryption based on binary Fourier transform computer-generated hologram and pixel scrambling technology," Optics and Lasers Eng., Vol.45, pp.761-765, 2007   DOI   ScienceOn
12 E. Tajahuerce and B. Javidi, "Encryption three-dimensional information with digital holography," Appl. Opt. Vol.39, pp.6595-6601, Dec. 2000   DOI
13 H. Kim, D.-H. Kim, and Y. H. Lee, "Encryption of digital hologram of 3-D object by virtual optics," Optics Express, Vol.12, No.20, pp.4912-4921, Oct. 2004   DOI
14 H. Yosikawa, "Digital holographic signal processing," Proc. TAO First International Symposium on Three Dimensional Image Communication Technologies, 1993
15 W. Sweldens, "The lifting scheme: A new philosophy in biorthogonal wavelet constructions," in Proc. SPIE, Vol.2569, 1995, pp.68-79
16 L. Chen and D. Zhao, "Optical color image encryption by wavelength multiplexing and lensless Fresnel transform holograms," Optics Express, Vol.14, No.19, Sept. 2006