M.
J.
Bastians, "Application of the Wigner distribution function in optics," in The Wigner Distribution—Theory and Applications in Signal Processing, W. Mecklenbrauker and F. Hlawatsch, eds. (Elsevier Science,
1997).

O.
Bimber,
T. Zeidler, A. Grundhfer, G. Wetzstein, M. Mhring, S. Kndel, and U. Hahne, "Interacting with augmented holograms," in Practical Holography XIX: Materials and Applications, T.H.Jeong and H.I.Bjelkhagen, eds., Proc. SPIE 5742,41-54 (2005).

H.
J.
Caulfield, ed., Handbook of Optical Holography (Academic,
1979).

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

[CrossRef]
[PubMed]

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

[CrossRef]
[PubMed]

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

[CrossRef]

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

[CrossRef]

J.
W.
Goodman, Introduction to Fourier Optics, 3rd ed., (Roberts & Company,
2005).

O.
Bimber,
T. Zeidler, A. Grundhfer, G. Wetzstein, M. Mhring, S. Kndel, and U. Hahne, "Interacting with augmented holograms," in Practical Holography XIX: Materials and Applications, T.H.Jeong and H.I.Bjelkhagen, eds., Proc. SPIE 5742,41-54 (2005).

O.
Bimber,
T. Zeidler, A. Grundhfer, G. Wetzstein, M. Mhring, S. Kndel, and U. Hahne, "Interacting with augmented holograms," in Practical Holography XIX: Materials and Applications, T.H.Jeong and H.I.Bjelkhagen, eds., Proc. SPIE 5742,41-54 (2005).

B.
M.
Hennelly and
J.
T. Sheridan "Generalizing, optimizing, and inventing numerical algorithms for the fractional Fourier, Fresnel, and linear canonical transforms," J. Opt. Soc. Am. A 21, 917-927 (2005).

[CrossRef]

B.
M.
Hennelly and
J.
T. Sheridan "Tracking the space bandwidth product in optical systems," in Opto-Ireland 2005: Photonic Engineering, B.W.Bowe, G.Byrne, A.J.Flanogan, T.G.Glynn, J.Magee, G.M.O'Connor, R.F.O'Dowd, G.D.O'Sullivan, and J.T.Sheridan, eds., 5827,334-345 (2005).

S.
-H.
Hong and
B. Javidi, "Three-dimensional visualization of partially occluded objects using integral imaging," IEEE J. Display Technol. 1,354-359 (2005).

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

[CrossRef]

B.
Javidi and
D. Kim, "Three-dimensional-object recognition by use of singleexposure on-axis digital holography," Opt. Lett. 30, 236-238 (2005).

[CrossRef]
[PubMed]

A.
Stern and
B. Javidi, "Sampling in the light of Wigner distribution," J. Opt. Soc. Am. A 21, 2038-2038 (2004).

[CrossRef]

A.
Stern and
B. Javidi, "Sampling in the light of Wigner distribution: eratta," J. Opt. Soc. Am. A 21, 360-366 (2004).

[CrossRef]

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

[CrossRef]

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

[CrossRef]
[PubMed]

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

[CrossRef]
[PubMed]

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

[CrossRef]
[PubMed]

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

[CrossRef]

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

[CrossRef]

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

[CrossRef]

C.
P.
Mc Elhinney,
J. Maycock, J.
B. McDonald, T. J. Naughton, and B. Javidi, "Three-dimensional scene reconstruction using digital holography," in Opto-Ireland 2005: Imaging and Vision, F.D.Murtagh, ed., Proc. SPIE 5823, 48-57 (2005).

S.
-H.
Hong and
B. Javidi, "Three-dimensional visualization of partially occluded objects using integral imaging," IEEE J. Display Technol. 1,354-359 (2005).

A.
Stern and
B. Javidi, "General sampling theorem and application to digital holography," in Optical Information Systems II, B.Javidi and D.Psaltis, eds., Proc. SPIE 5557,110-123 (2004).

C.
P.
McElhinney,
J. Maycock, T.
J. Naughton, J. B. McDonald, and B. Javidi, "Extraction of three-dimensional shape information from a digital hologram," in Optical Information Systems III, B.Javidi and D.Psaltis, eds., Proc. SPIE 5908,30-41 (2005).

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

[CrossRef]

O.
Bimber,
T. Zeidler, A. Grundhfer, G. Wetzstein, M. Mhring, S. Kndel, and U. Hahne, "Interacting with augmented holograms," in Practical Holography XIX: Materials and Applications, T.H.Jeong and H.I.Bjelkhagen, eds., Proc. SPIE 5742,41-54 (2005).

T.
Kreis, Handbook of Holographic Interferometry (Wiley-VCH,
2005).

H.
M.
Ozaktas,
Z. Zalevsky, and M.
A. Kutay, The Fractional Fourier Transform with Applications in Optics and Signal Processing (Wiley,
2001).

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

[CrossRef]

A.
W.
Lohmann,
R.
G. Dorsch, D. Mendolovic, Z. Zalevsky, and C. Ferreira, "Space-bandwidth product of optical signals and systems," J. Opt. Soc. Am. A 13, 470-473 (1996).

[CrossRef]

A.
W.
Lohmann, "Image rotation, Wigner rotation and the fractional Fourier transform," J. Opt. Soc. Am. A 10, 2181-2186 (1993).

[CrossRef]

C.
P.
Mc Elhinney,
J. Maycock, J.
B. McDonald, T. J. Naughton, and B. Javidi, "Three-dimensional scene reconstruction using digital holography," in Opto-Ireland 2005: Imaging and Vision, F.D.Murtagh, ed., Proc. SPIE 5823, 48-57 (2005).

C.
P.
McElhinney,
J. Maycock, T.
J. Naughton, J. B. McDonald, and B. Javidi, "Extraction of three-dimensional shape information from a digital hologram," in Optical Information Systems III, B.Javidi and D.Psaltis, eds., Proc. SPIE 5908,30-41 (2005).

C.
P.
Mc Elhinney,
J. Maycock, J.
B. McDonald, T. J. Naughton, and B. Javidi, "Three-dimensional scene reconstruction using digital holography," in Opto-Ireland 2005: Imaging and Vision, F.D.Murtagh, ed., Proc. SPIE 5823, 48-57 (2005).

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

[CrossRef]
[PubMed]

C.
P.
Mc Elhinney,
J. Maycock, J.
B. McDonald, T. J. Naughton, and B. Javidi, "Three-dimensional scene reconstruction using digital holography," in Opto-Ireland 2005: Imaging and Vision, F.D.Murtagh, ed., Proc. SPIE 5823, 48-57 (2005).

C.
P.
McElhinney,
J. Maycock, T.
J. Naughton, J. B. McDonald, and B. Javidi, "Extraction of three-dimensional shape information from a digital hologram," in Optical Information Systems III, B.Javidi and D.Psaltis, eds., Proc. SPIE 5908,30-41 (2005).

C.
P.
McElhinney,
J. Maycock, T.
J. Naughton, J. B. McDonald, and B. Javidi, "Extraction of three-dimensional shape information from a digital hologram," in Optical Information Systems III, B.Javidi and D.Psaltis, eds., Proc. SPIE 5908,30-41 (2005).

L.
P.
Yaroslavskii and
N.
S. Merzlyakov, Methods of Digital Holography (Consultants Bureau, Plenum,
1980).

O.
Bimber,
T. Zeidler, A. Grundhfer, G. Wetzstein, M. Mhring, S. Kndel, and U. Hahne, "Interacting with augmented holograms," in Practical Holography XIX: Materials and Applications, T.H.Jeong and H.I.Bjelkhagen, eds., Proc. SPIE 5742,41-54 (2005).

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

[CrossRef]

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

[CrossRef]

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

[CrossRef]
[PubMed]

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

[CrossRef]
[PubMed]

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

[CrossRef]
[PubMed]

C.
P.
Mc Elhinney,
J. Maycock, J.
B. McDonald, T. J. Naughton, and B. Javidi, "Three-dimensional scene reconstruction using digital holography," in Opto-Ireland 2005: Imaging and Vision, F.D.Murtagh, ed., Proc. SPIE 5823, 48-57 (2005).

C.
P.
McElhinney,
J. Maycock, T.
J. Naughton, J. B. McDonald, and B. Javidi, "Extraction of three-dimensional shape information from a digital hologram," in Optical Information Systems III, B.Javidi and D.Psaltis, eds., Proc. SPIE 5908,30-41 (2005).

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

[CrossRef]

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

[CrossRef]

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

C.
J.
Román-Moreno and
R. Ortega-Martínez "The Wigner function in paraxial optics II. Optical diffraction pattern representation," Mex. Fis. 49, 290-295 (2003).

H.
M.
Ozaktas,
Z. Zalevsky, and M.
A. Kutay, The Fractional Fourier Transform with Applications in Optics and Signal Processing (Wiley,
2001).

C.
J.
Román-Moreno and
R. Ortega-Martínez "The Wigner function in paraxial optics II. Optical diffraction pattern representation," Mex. Fis. 49, 290-295 (2003).

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

B.
M.
Hennelly and
J.
T. Sheridan "Generalizing, optimizing, and inventing numerical algorithms for the fractional Fourier, Fresnel, and linear canonical transforms," J. Opt. Soc. Am. A 21, 917-927 (2005).

[CrossRef]

B.
M.
Hennelly and
J.
T. Sheridan "Tracking the space bandwidth product in optical systems," in Opto-Ireland 2005: Photonic Engineering, B.W.Bowe, G.Byrne, A.J.Flanogan, T.G.Glynn, J.Magee, G.M.O'Connor, R.F.O'Dowd, G.D.O'Sullivan, and J.T.Sheridan, eds., 5827,334-345 (2005).

A.
Stern and
B. Javidi, "Sampling in the light of Wigner distribution," J. Opt. Soc. Am. A 21, 2038-2038 (2004).

[CrossRef]

A.
Stern and
B. Javidi, "Sampling in the light of Wigner distribution: eratta," J. Opt. Soc. Am. A 21, 360-366 (2004).

[CrossRef]

A.
Stern and
B. Javidi, "General sampling theorem and application to digital holography," in Optical Information Systems II, B.Javidi and D.Psaltis, eds., Proc. SPIE 5557,110-123 (2004).

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

[CrossRef]
[PubMed]

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

[CrossRef]

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

[CrossRef]

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

[CrossRef]

O.
Bimber,
T. Zeidler, A. Grundhfer, G. Wetzstein, M. Mhring, S. Kndel, and U. Hahne, "Interacting with augmented holograms," in Practical Holography XIX: Materials and Applications, T.H.Jeong and H.I.Bjelkhagen, eds., Proc. SPIE 5742,41-54 (2005).

E.
Wigner, "On the quantum correction for thermodynamic equilibrium," Phys. Rev. 40, 749-759 (1932).

L.
P.
Yaroslavskii and
N.
S. Merzlyakov, Methods of Digital Holography (Consultants Bureau, Plenum,
1980).

A.
W.
Lohmann,
R.
G. Dorsch, D. Mendolovic, Z. Zalevsky, and C. Ferreira, "Space-bandwidth product of optical signals and systems," J. Opt. Soc. Am. A 13, 470-473 (1996).

[CrossRef]

H.
M.
Ozaktas,
Z. Zalevsky, and M.
A. Kutay, The Fractional Fourier Transform with Applications in Optics and Signal Processing (Wiley,
2001).

O.
Bimber,
T. Zeidler, A. Grundhfer, G. Wetzstein, M. Mhring, S. Kndel, and U. Hahne, "Interacting with augmented holograms," in Practical Holography XIX: Materials and Applications, T.H.Jeong and H.I.Bjelkhagen, eds., Proc. SPIE 5742,41-54 (2005).

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

[CrossRef]
[PubMed]

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

[CrossRef]
[PubMed]

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

[CrossRef]

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

[CrossRef]
[PubMed]

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

[CrossRef]
[PubMed]

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

[CrossRef]
[PubMed]

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

[CrossRef]

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

[CrossRef]

A.
W.
Lohmann, "Image rotation, Wigner rotation and the fractional Fourier transform," J. Opt. Soc. Am. A 10, 2181-2186 (1993).

[CrossRef]

A.
W.
Lohmann,
R.
G. Dorsch, D. Mendolovic, Z. Zalevsky, and C. Ferreira, "Space-bandwidth product of optical signals and systems," J. Opt. Soc. Am. A 13, 470-473 (1996).

[CrossRef]

A.
Stern and
B. Javidi, "Sampling in the light of Wigner distribution: eratta," J. Opt. Soc. Am. A 21, 360-366 (2004).

[CrossRef]

A.
Stern and
B. Javidi, "Sampling in the light of Wigner distribution," J. Opt. Soc. Am. A 21, 2038-2038 (2004).

[CrossRef]

B.
M.
Hennelly and
J.
T. Sheridan "Generalizing, optimizing, and inventing numerical algorithms for the fractional Fourier, Fresnel, and linear canonical transforms," J. Opt. Soc. Am. A 21, 917-927 (2005).

[CrossRef]

C.
J.
Román-Moreno and
R. Ortega-Martínez "The Wigner function in paraxial optics II. Optical diffraction pattern representation," Mex. Fis. 49, 290-295 (2003).

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

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

[CrossRef]

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

[CrossRef]

C.
P.
McElhinney,
J. Maycock, T.
J. Naughton, J. B. McDonald, and B. Javidi, "Extraction of three-dimensional shape information from a digital hologram," in Optical Information Systems III, B.Javidi and D.Psaltis, eds., Proc. SPIE 5908,30-41 (2005).

A.
Stern and
B. Javidi, "General sampling theorem and application to digital holography," in Optical Information Systems II, B.Javidi and D.Psaltis, eds., Proc. SPIE 5557,110-123 (2004).

T.
Kreis, Handbook of Holographic Interferometry (Wiley-VCH,
2005).

H.
M.
Ozaktas,
Z. Zalevsky, and M.
A. Kutay, The Fractional Fourier Transform with Applications in Optics and Signal Processing (Wiley,
2001).

B.
M.
Hennelly and
J.
T. Sheridan "Tracking the space bandwidth product in optical systems," in Opto-Ireland 2005: Photonic Engineering, B.W.Bowe, G.Byrne, A.J.Flanogan, T.G.Glynn, J.Magee, G.M.O'Connor, R.F.O'Dowd, G.D.O'Sullivan, and J.T.Sheridan, eds., 5827,334-345 (2005).

L.
P.
Yaroslavskii and
N.
S. Merzlyakov, Methods of Digital Holography (Consultants Bureau, Plenum,
1980).

O.
Bimber,
T. Zeidler, A. Grundhfer, G. Wetzstein, M. Mhring, S. Kndel, and U. Hahne, "Interacting with augmented holograms," in Practical Holography XIX: Materials and Applications, T.H.Jeong and H.I.Bjelkhagen, eds., Proc. SPIE 5742,41-54 (2005).

S.
-H.
Hong and
B. Javidi, "Three-dimensional visualization of partially occluded objects using integral imaging," IEEE J. Display Technol. 1,354-359 (2005).

C.
P.
Mc Elhinney,
J. Maycock, J.
B. McDonald, T. J. Naughton, and B. Javidi, "Three-dimensional scene reconstruction using digital holography," in Opto-Ireland 2005: Imaging and Vision, F.D.Murtagh, ed., Proc. SPIE 5823, 48-57 (2005).

J.
W.
Goodman, Introduction to Fourier Optics, 3rd ed., (Roberts & Company,
2005).

H.
J.
Caulfield, ed., Handbook of Optical Holography (Academic,
1979).

E.
Wigner, "On the quantum correction for thermodynamic equilibrium," Phys. Rev. 40, 749-759 (1932).

M.
J.
Bastians, "Application of the Wigner distribution function in optics," in The Wigner Distribution—Theory and Applications in Signal Processing, W. Mecklenbrauker and F. Hlawatsch, eds. (Elsevier Science,
1997).