Summary
We present the results of applying data compression techniques to encrypted three-dimensional objects. The objects are captured using phase-shift digital holography and encrypted using a random phase mark in the Fresnel domain. Lossy quantization is combined with lossless coding techniques to quantify compression rates. Our techniques are suitable for a range of secure three-dimensional object storage and transmission applications.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
B. Javidi and J.L. Horner, Opt. Eng. 33, 1752 (1994).
P. Réfrégier and B. Javidi, Opt. Lett. 20, 767 (1995).
S. Fukushima, T. Kurokawa, and Y. Sakai, IEEE Photon. Technol. Lett. 3, 1133 (1991).
M. Madjarova, M. Kakuta, M. Yamaguchi, and N. Ohyama, Opt. Lett. 22, 1624 (1997).
J.F. Heanue, M.C. Bashaw, and L. Hesselink, Appl. Opt. 34, 6012 (1995).
R.K. Wang, I.A. Watson, and C.R. Chatwin, Opt. Eng. 35, 2464 (1996).
L.G. Neto and Y. Sheng, Opt. Eng. 35, 2459 (1996).
B. Javidi and E. Ahouzi, Appl. Opt. 37, 6247 (1998).
G. Unnikrishnan, J. Joseph, and K. Singh, Appl. Opt. 37, 8181 (1998).
O. Matoba and B. Javidi, Opt. Lett. 24, 762 (1999).
P.C. Mogensen and J. Glückstad, Opt. Lett. 25, 566 (2000).
B. Javidi and T. Nomura, Opt. Lett. 25, 28 (2000).
S. Lai and M.A. Neifeld, Opt. Commun. 178, 283 (2000).
E. Tajahuerce, O. Matoba, S.C. Verrall, and B. Javidi, Appl. Opt. 39, 2313 (2000).
E. Tajahuerce and B. Javidi, Appl. Opt. 39, 6595 (2000).
E. Tajahuerce, J. Lancis, B. Javidi, and P. Andrés, Opt. Lett. 26, 678 (2001).
O. Matoba and B. Javidi, Opt. Lett. 27, 321 (2002).
J.W. Goodman and R.W. Lawrence, Appl. Phys. Lett. 11, 77 (1967).
J.H. Bruning, D.R. Herriott, J.E. Gallagher, D.P. Rosenfeld, A.D. White, and D.J. Brangaccio, Appl. Opt. 13, 2693 (1974).
T.-C. Poon and A. Korpel, Opt. Lett. 4, 317 (1979).
J. Schwider, B. Burow, K.E. Elsner, J. Grzanna, and R. Spolaczyk, Appl. Opt. 22, 3421 (1983).
L. Onural and P.D. Scott, Opt. Eng. 26, 1124 (1987).
U. Schnars and W.P.O. Jüptner, Appl. Opt. 33, 179 (1994).
U. Schnars, J. Opt. Soc. Am. A 11, 2011 (1994).
I. Yamaguchi, T. Zhang, Opt. Lett. 22, 1268 (1997).
G. Pedrini, P. Frning, H. Fessler, and H.J. Tiziani, Appl. Opt. 37, 6262 (1998).
B. Javidi and E. Tajahuerce, Opt. Lett. 25, 610 (2000).
E. Tajahuerce, O. Matoba, and B. Javidi, Appl. Opt. 40, 3877 (2001).
Y. Frauel, E. Tajahuerce, M.-A. Castro, and B. Javidi, Appl. Opt. 40, 3887 (2001).
Y. Frauel and B. Javidi, Opt. Lett. 26, 1478 (2001).
T.J. Naughton, Y. Frauel, B. Javidi, and E. Tajahuerce, Appl. Opt. 41, 4124 (2002).
O. Matoba, T.J. Naughton, Y. Frauel, N. Bertaux, and B. Javidi, Appl. Opt. 41, 6187 (2002).
B. Javidi and F. Okano, Three-Dimensional Television, Video, and Display Technologies (Springer, Berlin 2002).
M. Rabbani, Selected Papers on Image Coding and Compression, SPIE Milestone Series MS48 (SPIE Press, Bellingham, WA, 1992).
J.W. Goodman and A.M. Silvestri, IBM J. Res. Develop. 14, 478 (1970).
W.J. Dallas and A.W. Lohmann, Appl. Opt. 11, 192 (1972).
T. Nomura, A. Okazaki, M. Kameda, Y. Morimoto, and B. Javidi, “Digital holographic data reconstruction with data compression.” in, Algorithms and Systems for Optical Information Processing V, San Diego, July 2001, Proceedings of the SPIE 4471 (SPIE Press, Bellingham, WA, 2001).
T.J. Naughton, J.B. McDonald, and B. Javidi, Appl. Opt. (submitted August 2002).
B. Javidi, A. Sergent, G. Zhang, and L. Guibert, Opt. Eng. 36, 992 (1997).
F. Goudail, F. Bollaro, B. Javidi, and P. Réfrégier, J. Opt. Soc. Am. A 15, 2629 (1998).
T.J. Naughton and B. Javidi, “Compression of encrypted digital holograms of three-dimensional objects.” In preparation.
T.J. Naughton and B. Javidi, “Optical encryption of three-dimensional objects.” In preparation.
J.W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1996).
H.J. Caulfield, Handbook of Optical Holography (Academic Press, New York, 1979).
M. Sutkowski and M. Kujawinska, Opt. Lasers Eng. 33, 191 (2000).
D.A. Huffman, Proc. IRE 40, 1098 (1952).
J. Ziv and A. Lempel, IEEE Trans. IT-23, 337 (1977).
T.A. Welch, IEEE Computer 17, 8 (1984).
M. Burrows and D.J. Wheeler, Digital SRC Rep. 124 (1994).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2005 Springer Science+Business Media, Inc.
About this chapter
Cite this chapter
Naughton, T.J., Javidi, B. (2005). Compression of Digital Holograms for Secure Three-Dimensional Image Storage and Transmission. In: Javidi, B. (eds) Optical and Digital Techniques for Information Security. Advanced Sciences and Technologies for Security Applications, vol 1. Springer, New York, NY . https://doi.org/10.1007/0-387-25096-4_9
Download citation
DOI: https://doi.org/10.1007/0-387-25096-4_9
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-20616-5
Online ISBN: 978-0-387-25096-0
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)