A. E. Shortt, T. J. Naughton, B. Javidi, "Compression of digital holograms of three-dimensional
objects using wavelets," Opt. Express 14, 2625-2630 (2006).

A. E. Shortt, T. J. Naughton, B. Javidi, "A companding approach for nonuniform
quantization of digital holograms of three-dimensional objects," Opt. Express 14, 5129-5134 (2006).

T. J. Naughton, A. E. Shortt, B. Javidi, "Nonuniform quantization compression
of digital holograms," Opt. Lett. (2006).

I. Yamaguchi, K. Yamamoto, G. A. Mills, M. Yokota, "Image reconstruction only by phase in phase-shifting
digital holography," Appl. Opt. 45, 975-983 (2006).

E. Darakis, J. J. Soraghan, "Compression of interference patterns with
application to phase-shifting digital holography," Appl.
Opt. 45, 2437-2443 (2006).

T. Nomura, A. Okazaki, M. Kameda, Y. Morimoto, B. Javidi, "Image reconstruction from compressed encrypted
digital hologram," Opt. Eng. 44, 075801-1-075801-7 (2005).

T. J. Naughton, B. Javidi, "Compression of encrypted three-dimensional
objects using digital holography," Opt. Eng. 43, 2233-2238 (2004).

B. Hennelly, J. T. Sheridan, "Optical image encryption by random shifting
in fractional Fourier domains," Opt. Lett. 28, 269-271 (2003).

N. K. Nishchal, J. Joseph, K. Singh, "Fully phase encryption using fractional Fourier transform," Opt. Eng. 42, 1583-1588 (2003).

T. J. Naughton, J. B. Mc. Donald, B. Javidi, "Efficient compression of Fresnel fields
for internet transmission of three-dimensional images," Appl.
Opt. 42, 4758-4764 (2003).

T. J. Naughton, Y. Frauel, B. Javidi, E. Tajahuerce, "Compression of digital holograms for three-dimensional
object reconstruction and recognition," Appl.
Opt. 41, 4124-4132 (2002).

O. Matoba, T. J. Naughton, Y. Frauel, N. Bertaux, B. Javidi, "Real-time three-dimensional object reconstruction
by use of a phase-encoded digital hologram," Appl.
Opt. 41, 6187-6192 (2002).

O. Matoba, B. Javidi, "Optical retrieval of encrypted digital holograms
for secure real-time display," Opt. Lett. 27, 321-323 (2002).

M. Egmont-Peterson, D. de Riddler, H. Handels, "Image processing with neural networks—a
review," Pattern Recogn. 35, 2279-2301 (2002).

Y. Frauel, E. Tajahuerce, M.-A. Castro, B. Javidi, "Distortion-tolerant three-dimensional object
recognition with digital holography," Appl.
Opt. 40, 3887-3893 (2001).

B. Javidi, E. Tajahuerce, "Three-dimensional object recognition by
use of digital holography," Opt. Lett. 25, 610-612 (2000).

E. Tajahuerce, B. Javidi, "Encrypting three-dimensional information
with digital holography," Appl. Opt. 39, 6595-6601 (2000).

P. C. Mogensen, J. Glückstad, "Phase-only optical encryption," Opt. Lett. 25, 566-568 (2000).

B. Javidi, T. Nomura, "Securing information by use of digital holography," Opt. Lett. 25, 28-30 (2000).

S. Lai, M. A. Neifeld, "Digital wavefront reconstruction and its application to
image encryption," Opt. Commun. 178, 283-289 (2000).

E. Tajahuerce, O. Matoba, S. C. Verrall, B. Javidi, "Optoelectronic information encryption with
phase-shifting interferometry," Appl. Opt. 39, 2313-2320 (2000).

C. Amerijckx, M. Verleysen, P. Thissen, J.-D. Legat, "Image compression by self-organized Kohonen
map," IEEE Trans. Neural Netw. 9, 503-507 (1998).

G. Unnikrishnan, J. Joseph, K. Singh, "Optical encryption system that uses phase conjugation in
a photorefractive crystal," Appl. Opt. 37, 8181-8186 (1998).

F. Goudail, F. Bollaro, B. Javidi, P. Réfrégier, "Influence of a perturbation
in a double phase-encoding system," J. Opt.
Soc. Am. A 15, 2629-2638 (1998).

B. Javidi, A. Sergent, G. Zhang, L. Guibert, "Fault tolerance properties of a double phase encoding encryption
technique," Opt. Eng. 36, 992-998 (1997).

I. Yamaguchi, T. Zhang, "Phase-shifting digital holography," Opt.
Lett. 22, 1268-1270 (1997).

P. Réfrégier, B. Javidi, "Optical image encryption based
on input plane and Fourier plane random encoding," Opt.
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R. D. Dony, S. Haykin, "Neural network approaches to image compression," Proc. IEEE 83, 288-303 (1995).

P. V. Balakrishnan, M. C. Cooper, V. S. Jacob, P. A. Lewis, "A study of the classification capabilities
of neural networks using unsupervised learning: a comparison with k-means
clustering," Psychometrika 59, 509-525 (1994).

B. Javidi, J. L. Horner, "Optical pattern recognition for validation
and security verification," Opt. Eng. 33, 1752-1756 (1994).

U. Schnars, W. P. O. Jüptner, "Direct recording of holograms by a CCD target
and numerical reconstruction," Appl. Opt. 33, 179-181 (1994).

C.-C. Lu, Y. H. Shin, "A neural network based image compression system," IEEE Trans. Consum. Electron. 38, 25-29 (1992).

T. Kohonen, "The self-organizing map," Proc. IEEE 78, 1464-1480 (1990).

A. K. Krishnamurthy, S. C. Ahalt, D. E. Melton, P. Chen, "Neural networks for vector quantization of speech and images," IEEE J. Sel. Areas Commun. 8, 1449-1457 (1990).

L. Onural, P. D. Scott, "Digital decoding of in-line holograms," Opt. Eng. 26, 1124-1132 (1987).

T. A. Welch, "A technique for high performance data compression," IEEE Computer 17, 8-19 (1984).

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D. A. Huffman, "A method for the construction of minimum
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J. H. Bruning, D. R. Herriott, J. E. Gallagher, D. P. Rosenfeld, A. D. White, D. J. Brangaccio, "Digital wavefront measuring interferometer
for testing optical surfaces and lenses," Appl.
Opt. 13, 2693-2703 (1974).

Y. Frauel, E. Tajahuerce, M.-A. Castro, B. Javidi, "Distortion-tolerant three-dimensional object
recognition with digital holography," Appl.
Opt. 40, 3887-3893 (2001).

T. J. Naughton, Y. Frauel, B. Javidi, E. Tajahuerce, "Compression of digital holograms for three-dimensional
object reconstruction and recognition," Appl.
Opt. 41, 4124-4132 (2002).

O. Matoba, T. J. Naughton, Y. Frauel, N. Bertaux, B. Javidi, "Real-time three-dimensional object reconstruction
by use of a phase-encoded digital hologram," Appl.
Opt. 41, 6187-6192 (2002).

T. J. Naughton, J. B. Mc. Donald, B. Javidi, "Efficient compression of Fresnel fields
for internet transmission of three-dimensional images," Appl.
Opt. 42, 4758-4764 (2003).

E. Darakis, J. J. Soraghan, "Compression of interference patterns with
application to phase-shifting digital holography," Appl.
Opt. 45, 2437-2443 (2006).

I. Yamaguchi, K. Yamamoto, G. A. Mills, M. Yokota, "Image reconstruction only by phase in phase-shifting
digital holography," Appl. Opt. 45, 975-983 (2006).

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G. Unnikrishnan, J. Joseph, K. Singh, "Optical encryption system that uses phase conjugation in
a photorefractive crystal," Appl. Opt. 37, 8181-8186 (1998).

E. Tajahuerce, O. Matoba, S. C. Verrall, B. Javidi, "Optoelectronic information encryption with
phase-shifting interferometry," Appl. Opt. 39, 2313-2320 (2000).

E. Tajahuerce, B. Javidi, "Encrypting three-dimensional information
with digital holography," Appl. Opt. 39, 6595-6601 (2000).

U. Schnars, W. P. O. Jüptner, "Direct recording of holograms by a CCD target
and numerical reconstruction," Appl. Opt. 33, 179-181 (1994).

J. W. Goodman, R. W. Lawrence, "Digital image formation from electronically
detected holograms," Appl. Phys. Lett. 11, 77-79 (1967).

J. W. Goodman, A. M. Silvestri, "Some effects of Fourier-domain phase quantization," IBM J. Res. Develop. 14, 478-484 (1970).

T. A. Welch, "A technique for high performance data compression," IEEE Computer 17, 8-19 (1984).

A. K. Krishnamurthy, S. C. Ahalt, D. E. Melton, P. Chen, "Neural networks for vector quantization of speech and images," IEEE J. Sel. Areas Commun. 8, 1449-1457 (1990).

C.-C. Lu, Y. H. Shin, "A neural network based image compression system," IEEE Trans. Consum. Electron. 38, 25-29 (1992).

J. Ziv, A. Lempel, "A universal algorithm for sequential data compression," IEEE Trans. Inf. Theory IT-23, 337-343 (1977).

C. Amerijckx, M. Verleysen, P. Thissen, J.-D. Legat, "Image compression by self-organized Kohonen
map," IEEE Trans. Neural Netw. 9, 503-507 (1998).

F. Goudail, F. Bollaro, B. Javidi, P. Réfrégier, "Influence of a perturbation
in a double phase-encoding system," J. Opt.
Soc. Am. A 15, 2629-2638 (1998).

I. Yamaguchi, T. Zhang, "Phase-shifting digital holography," Opt.
Lett. 22, 1268-1270 (1997).

P. Réfrégier, B. Javidi, "Optical image encryption based
on input plane and Fourier plane random encoding," Opt.
Lett. 20, 767-769 (1995).

S. Lai, M. A. Neifeld, "Digital wavefront reconstruction and its application to
image encryption," Opt. Commun. 178, 283-289 (2000).

N. K. Nishchal, J. Joseph, K. Singh, "Fully phase encryption using fractional Fourier transform," Opt. Eng. 42, 1583-1588 (2003).

T. J. Naughton, B. Javidi, "Compression of encrypted three-dimensional
objects using digital holography," Opt. Eng. 43, 2233-2238 (2004).

L. Onural, P. D. Scott, "Digital decoding of in-line holograms," Opt. Eng. 26, 1124-1132 (1987).

B. Javidi, J. L. Horner, "Optical pattern recognition for validation
and security verification," Opt. Eng. 33, 1752-1756 (1994).

T. Nomura, A. Okazaki, M. Kameda, Y. Morimoto, B. Javidi, "Image reconstruction from compressed encrypted
digital hologram," Opt. Eng. 44, 075801-1-075801-7 (2005).

B. Javidi, A. Sergent, G. Zhang, L. Guibert, "Fault tolerance properties of a double phase encoding encryption
technique," Opt. Eng. 36, 992-998 (1997).

A. E. Shortt, T. J. Naughton, B. Javidi, "Compression of digital holograms of three-dimensional
objects using wavelets," Opt. Express 14, 2625-2630 (2006).

A. E. Shortt, T. J. Naughton, B. Javidi, "A companding approach for nonuniform
quantization of digital holograms of three-dimensional objects," Opt. Express 14, 5129-5134 (2006).

B. Javidi, E. Tajahuerce, "Three-dimensional object recognition by
use of digital holography," Opt. Lett. 25, 610-612 (2000).

O. Matoba, B. Javidi, "Optical retrieval of encrypted digital holograms
for secure real-time display," Opt. Lett. 27, 321-323 (2002).

B. Hennelly, J. T. Sheridan, "Optical image encryption by random shifting
in fractional Fourier domains," Opt. Lett. 28, 269-271 (2003).

O. Matoba, B. Javidi, "Encrypted optical memory system using three-dimensional
keys in the Fresnel domain," Opt. Lett. 24, 762-764 (1999).

P. C. Mogensen, J. Glückstad, "Phase-only optical encryption," Opt. Lett. 25, 566-568 (2000).

B. Javidi, T. Nomura, "Securing information by use of digital holography," Opt. Lett. 25, 28-30 (2000).

T.-C. Poon, A. Korpel, "Optical transfer function of an acousto-optic
heterodyning image processor," Opt. Lett. 4, 317-319 (1979).

T. J. Naughton, A. E. Shortt, B. Javidi, "Nonuniform quantization compression
of digital holograms," Opt. Lett. (2006).

M. Egmont-Peterson, D. de Riddler, H. Handels, "Image processing with neural networks—a
review," Pattern Recogn. 35, 2279-2301 (2002).

T. Kohonen, "The self-organizing map," Proc. IEEE 78, 1464-1480 (1990).

R. D. Dony, S. Haykin, "Neural network approaches to image compression," Proc. IEEE 83, 288-303 (1995).

D. A. Huffman, "A method for the construction of minimum
redundancy codes," Proc. IRE 40, 1098-1101 (1952).

P. V. Balakrishnan, M. C. Cooper, V. S. Jacob, P. A. Lewis, "A study of the classification capabilities
of neural networks using unsupervised learning: a comparison with k-means
clustering," Psychometrika 59, 509-525 (1994).

J. Jiang, "Image compression with neural networks—a survey," Signal Process. Image Commun. 14, 737-760 (1999).

T. Kohonen, Self-Organizing Maps (Springer-Verlag, 1994).

M. Burrows, D. J. Wheeler, A block-sorting lossless data compression algorithm Digital Systems Research CenterPalo AltoCA Tech. Rep. 124 (1994).

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J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, 1996).

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of multivariate observations," Proc. 5th Berkeley
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T. J. Naughton, B. Javidi, "Encryption and decryption of three-dimensional
objects using digital holography," in preparation.

A. E. Shortt, T. J. Naughton, B. Javidi, "Quantization compression of digital holograms
of three-dimensional objects using artificial neural networks," submitted for publication..

A. E. Shortt, T. J. Naughton, B. Javidi, "Histogram approaches for lossy compression
of digital holograms of three-dimensional objects," ,
submitted for publication.

D. Kayser, T. Kreis, W. Jüptner, "Compression of digital holographic data using its electromagnetic
field properties," Proc. SPIE (2005) pp. 97-105.