Abstract

We propose a scheme to improve the reconstructed image in parallel quasi-phase-shifting digital holography. Parallel quasi-phase-shifting digital holography is a technique capable of noiseless instantaneous measurement of three-dimensional objects, and it implements four kinds of phase shifting at a time with an array of 2×2 phase-shifting devices located in the reference wave. In the phase-shifting calculation in the reconstruction process of the technique, the scheme assigns the 2×2 cell configuration for each pixel in the vertical direction and for each 1-pixel interval in the horizontal direction of the hologram recorded by the image sensor. We conduct both a numerical simulation and a preliminary experiment. The results show that the proposed scheme can improve the quality of the reconstructed image calculated by the conventional scheme of parallel quasi-phase-shifting digital holography we previously proposed, and then the effectiveness of the proposed scheme is verified.

© 2006 Optical Society of America

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2005

Y. Morimoto, T. Nomura, M. Fujigaki, S. Yoneyama, and I. Takahashi, "Deformation measurement by phase-shifting digital holography," Exp. Mech. 45, 65-70 (2005).
[CrossRef]

2004

M. Malek, D. Allano, S. Coetmellec, C. Ozkul, and D. Lebrun, "Digital in-line holography for three-dimensional-two-components particle tracking velocimetry," Meas. Sci. Technol. 15, 699-705 (2004).
[CrossRef]

J. Müller, V. Kebbel, and W. Jüptner, "Characterization of spatial particle distributions in a spray-forming process using digital holography," Meas. Sci. Technol. 15, 706-710 (2004).
[CrossRef]

J. M. Coupland, "Holographic particle image velocimetry: signal recovery from under-sampled CCD data," Meas. Sci. Technol. 15, 711-717 (2004).
[CrossRef]

M. Hui, P. Gang, P. Ye, and S. H. Woodward, "Holographic particle image velocimetry: from film to digital recording," Meas. Sci. Technol. 15, 673-685 (2004).
[CrossRef]

P. Guo and A. J. Devaney, "Digital microscopy using phase-shifting digital holography with two reference waves," Opt. Lett. 29, 857-859 (2004).
[CrossRef] [PubMed]

L. Repetto, E. Piano, and C. Pontiggia, "Lensless digital holographic microscope with diode illumination," Opt. Lett. 29, 1132-1134 (2004).
[CrossRef] [PubMed]

M. Gustafsson and M. Sebesta, "Refractometry of microscopic objects with digital holography," Appl. Opt. 43, 4796-4801 (2004).
[CrossRef] [PubMed]

Y. Frauel, E. Tajahuerce, O. Matoba, M. Castro, and B. Javidi, "Comparison of passive ranging integral imaging and active imaging digital holography for three-dimensional object recognition," Appl. Opt. 43, 452-462 (2004).
[CrossRef] [PubMed]

N. K. Nishchal, J. Joseph, and K. Singh, "Securing information using fractional Fourier transform in digital holography," Opt. Commun. 235, 253-259 (2004).
[CrossRef]

N. K. Nishchal, J. Joseph, and K. Singh, "Fully phase encryption using digital holography," Opt. Eng. 235, 2959-2966 (2004).
[CrossRef]

Y. Zhang, Q. Lu, and B. Ge, "Elimination of zero-order diffraction in digital off-axis holography," Opt. Commun. 240, 261-267 (2004).
[CrossRef]

Y. Awatsuji, M. Sasada, and T. Kubota, "Parallel quasi-phase-shifting digital holography," Appl. Phys. Lett. 85, 1069-1071 (2004).
[CrossRef]

2003

L. Yu and L. Cai, "Multidimensional data encryption with digital holography," Opt. Commun. 215, 271-284 (2003).
[CrossRef]

S. Kishk and B. Javidi, "Watermarking of three-dimensional objects by digital holography," Opt. Lett. 28, 167-169 (2003).
[CrossRef] [PubMed]

S. Kishk and B. Javidi, "3D object watermarking by a 3D hidden object," Opt. Express 11, 874-888 (2003).
[CrossRef] [PubMed]

B. Zhu, H. Zhao, and S. Liu, "Image encryption based on pure intensity random coding and digital holography technique," Optik (Stuttgart) 114, 95-99 (2003).
[CrossRef]

L. Yu and L. Cai, "Data encryption by disarranging the holographic information with rotated holograms," Optik (Stuttgart) 114, 497-503 (2003).
[CrossRef]

P. Ferraro, S. De Nicola, A. Finizio, G. Coppola, S. Grilli, C. Magro, and G. Plerattini, "Compensation of the inherent wave front curvature in digital holographic coherent microscopy for quantitative phase-contrast imaging," Appl. Opt. 42, 1938-1946 (2003).
[CrossRef] [PubMed]

D. Lebrun, A. M. Benkouider, S. Coetmellec, and M. Malek, "Particle field digital holographic reconstruction in arbitrary tilted planes," Opt. Express 11, 224-229 (2003).
[CrossRef] [PubMed]

G. Pan and H. Meng, "Digital holography of particle fields: reconstruction by use of complex amplitude," Appl. Opt. 42, 827-833 (2003).
[CrossRef] [PubMed]

P. Ferraro, G. Coppola, S. De Nicola, A. Finizio, and G. Pierattini, "Digital holographic microscope with automatic focus tracking by detecting sample displacement in real time," Opt. Lett. 28, 1257-1259 (2003).
[CrossRef] [PubMed]

2002

Z. Liu, G. J. Steckman, and D. Psaltis, "Holographic recording of fast phenomena," Appl. Phys. Lett. 80, 731-733 (2002).
[CrossRef]

C. Fournier, C. Ducottet, and T. Fournel, "Digital in-line holography: influence of the reconstruction on the axial profile of a reconstructed particle image," Meas. Sci. Technol. 15, 686-693 (2002).
[CrossRef]

S. Coetmellec, D. Lebrun, and C. Ozkul, "Application of the two-dimensional fractional-order Fourier transformation to particle field digital holography," J. Opt. Soc. Am. A 19, 1537-1546 (2002).
[CrossRef]

G. Pedrini and H. J. Tiziani, "Short-coherence digital microscopy by use of a lensless holographic imaging system," Appl. Opt. 41, 4489-4496 (2002).
[CrossRef] [PubMed]

C. Liu, Z. Liu, F. Bo, Y. Wang, and J. Zhu, "Super-resolution digital holographic imaging method," Appl. Phys. Lett. 81, 3143-3145 (2002).
[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]

B. Zhu, H. Zhao, and S. Liu, "Three-dimensional transparent objects recognition based on the digital holography and fractional correlator," Optik (Stuttgart) 113, 209-212 (2002).
[CrossRef]

I. Yamaguchi, T. Matsumura, and J. Kato, "Phase-shifting color digital holography," Opt. Lett. 27, 1108-1110 (2002).
[CrossRef]

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

O. Matoba, T. 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]

S. De Nicola, P. Ferraro, A. Finizio, and G. Plerattini, "Wave front reconstruction of Fresnel off-axis holograms with compensation of aberrations by means of phase-shifting digital holography," Opt. Lasers Eng. 37, 331-340 (2002).
[CrossRef]

2001

I. Yamaguchi, J. Kato, and S. Ohta, "Surface shape measurement by phase-shifting digital holography," Opt. Rev. 8, 85-89 (2001).
[CrossRef]

I. Yamaguchi, S. Ohta, and J. Kato, "Surface contouring by phase-shifting digital holography," Opt. Lasers Eng. 36, 417-428 (2001).
[CrossRef]

I. Yamaguchi, S. Ohta, and J. Kato, "Image formation in phase-shifting digital holography and applications to microscopy," Appl. Opt. 40, 6177-6186 (2001).
[CrossRef]

E. Tajahuerce, O. Matoba, and B. Javidi, "Shift-invariant three-dimensional object recognition by means of digital holography," Appl. Opt. 40, 3877-3886 (2001).
[CrossRef]

Y. Frauel and B. Javidi, "Neural network for three-dimensional object recognition based on digital holography," Opt. Lett. 26, 1478-1480 (2001).
[CrossRef]

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

S. Seebacher, W. Osten, T. Baumbach, and W. Jüptner, "The determination of material parameters of microcomponents using digital holography," Opt. Lasers Eng. 36, 103-126 (2001).
[CrossRef]

W. Xu, M. H. Jericho, I. A. Meinertzhagen, and H. J. Kreuzer, "Digital in-line holography for biological applications," Proc. Natl. Acad. Sci. U.S.A. 98, 11301-11305 (2001).
[CrossRef] [PubMed]

L. Xu, X. Peng, J. Miao, and A. K. Asundi, "Studies of digital microscopic holography with applications to microstructure testing," Appl. Opt. 40, 5046-5051 (2001).
[CrossRef]

G. Pedrini and S. Schedin, "Short coherence digital holography for 3D microscopy," Optik (Stuttgart) 112, 427-432 (2001).
[CrossRef]

2000

1999

1998

1997

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

T. M. Kreis and W. P. O. Jüptner, "Suppression of the dc term in digital holography," Opt. Eng. 37, 2357-2360 (1997).
[CrossRef]

G. Pedrini and H. J. Tiziani, "Quantitative evaluation of two-dimensional dynamic deformations using digital holography," Opt. Lasers Eng. 29, 249-256 (1997).
[CrossRef]

G. Pedrini, P. Froning, H. Fessler, and H. J. Tiziani, "Transient vibration measurements using multipulse digital holography," Opt. Lasers Eng. 29, 505-511 (1997).

1995

G. Pedrini, B. Pfister, and H. Tiziani, "Digital double-pulsed holographic interferometry for vibration," J. Mod. Opt. 40, 367-374 (1995).
[CrossRef]

1994

1987

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

1972

M. A. Kronrod, N. S. Merzlyakov, and L. P. Yaroslavskii, "Reconstruction of a hologram with a computer," Sov. Phys. Tech. Phys. 17, 333-334 (1972).

1964

1948

D. Gabor, "A new microscopic principle," Nature 161, 777-778 (1948).
[CrossRef] [PubMed]

Allano, D.

M. Malek, D. Allano, S. Coetmellec, C. Ozkul, and D. Lebrun, "Digital in-line holography for three-dimensional-two-components particle tracking velocimetry," Meas. Sci. Technol. 15, 699-705 (2004).
[CrossRef]

Asundi, A. K.

Awatsuji, Y.

Y. Awatsuji, M. Sasada, and T. Kubota, "Parallel quasi-phase-shifting digital holography," Appl. Phys. Lett. 85, 1069-1071 (2004).
[CrossRef]

Baumbach, T.

S. Seebacher, W. Osten, T. Baumbach, and W. Jüptner, "The determination of material parameters of microcomponents using digital holography," Opt. Lasers Eng. 36, 103-126 (2001).
[CrossRef]

Benkouider, A. M.

Bertaux, N.

Bo, F.

C. Liu, Z. Liu, F. Bo, Y. Wang, and J. Zhu, "Super-resolution digital holographic imaging method," Appl. Phys. Lett. 81, 3143-3145 (2002).
[CrossRef]

Cai, L.

L. Yu and L. Cai, "Multidimensional data encryption with digital holography," Opt. Commun. 215, 271-284 (2003).
[CrossRef]

L. Yu and L. Cai, "Data encryption by disarranging the holographic information with rotated holograms," Optik (Stuttgart) 114, 497-503 (2003).
[CrossRef]

Castro, M.

Coetmellec, S.

Coppola, G.

Coupland, J. M.

J. M. Coupland, "Holographic particle image velocimetry: signal recovery from under-sampled CCD data," Meas. Sci. Technol. 15, 711-717 (2004).
[CrossRef]

Cuche, E.

De Nicola, S.

Depeursinge, C.

Devaney, A. J.

Dubois, F.

Ducottet, C.

C. Fournier, C. Ducottet, and T. Fournel, "Digital in-line holography: influence of the reconstruction on the axial profile of a reconstructed particle image," Meas. Sci. Technol. 15, 686-693 (2002).
[CrossRef]

Ferraro, P.

Fessler, H.

G. Pedrini, P. Froning, H. Fessler, and H. J. Tiziani, "In-line digital holographic interferometry," Appl. Opt. 37, 6262-6269 (1998).
[CrossRef]

G. Pedrini, P. Froning, H. Fessler, and H. J. Tiziani, "Transient vibration measurements using multipulse digital holography," Opt. Lasers Eng. 29, 505-511 (1997).

Finizio, A.

Fournel, T.

C. Fournier, C. Ducottet, and T. Fournel, "Digital in-line holography: influence of the reconstruction on the axial profile of a reconstructed particle image," Meas. Sci. Technol. 15, 686-693 (2002).
[CrossRef]

Fournier, C.

C. Fournier, C. Ducottet, and T. Fournel, "Digital in-line holography: influence of the reconstruction on the axial profile of a reconstructed particle image," Meas. Sci. Technol. 15, 686-693 (2002).
[CrossRef]

Frauel, Y.

Froning, P.

G. Pedrini, P. Froning, H. Fessler, and H. J. Tiziani, "In-line digital holographic interferometry," Appl. Opt. 37, 6262-6269 (1998).
[CrossRef]

G. Pedrini, P. Froning, H. Fessler, and H. J. Tiziani, "Transient vibration measurements using multipulse digital holography," Opt. Lasers Eng. 29, 505-511 (1997).

Fujigaki, M.

Y. Morimoto, T. Nomura, M. Fujigaki, S. Yoneyama, and I. Takahashi, "Deformation measurement by phase-shifting digital holography," Exp. Mech. 45, 65-70 (2005).
[CrossRef]

Gabor, D.

D. Gabor, "A new microscopic principle," Nature 161, 777-778 (1948).
[CrossRef] [PubMed]

Gang, P.

M. Hui, P. Gang, P. Ye, and S. H. Woodward, "Holographic particle image velocimetry: from film to digital recording," Meas. Sci. Technol. 15, 673-685 (2004).
[CrossRef]

Ge, B.

Y. Zhang, Q. Lu, and B. Ge, "Elimination of zero-order diffraction in digital off-axis holography," Opt. Commun. 240, 261-267 (2004).
[CrossRef]

Goodman, J. W.

See, for example, J. W. Goodman, Introduction to Fourier Optics, 2nd ed. (McGraw-Hill, 1996).

Grilli, S.

Guo, P.

Gustafsson, M.

Hui, M.

M. Hui, P. Gang, P. Ye, and S. H. Woodward, "Holographic particle image velocimetry: from film to digital recording," Meas. Sci. Technol. 15, 673-685 (2004).
[CrossRef]

Indebetouw, G.

G. Indebetouw and P. Klysubun, "Imaging through scattering media with depth resolution by use of low-coherence gating in spatiotemporal digital holography," Opt. Lett. 25, 212-214 (2000).
[CrossRef]

G. Indebetouw and P. Klysubun, "Space-time digital holography: a three-dimensional microscopic imaging scheme with an arbitrary degree of spatial coherence," Appl. Phys. Lett. 75, 2017-2019 (1999).
[CrossRef]

Javidi, B.

Y. Frauel, E. Tajahuerce, O. Matoba, M. Castro, and B. Javidi, "Comparison of passive ranging integral imaging and active imaging digital holography for three-dimensional object recognition," Appl. Opt. 43, 452-462 (2004).
[CrossRef] [PubMed]

S. Kishk and B. Javidi, "Watermarking of three-dimensional objects by digital holography," Opt. Lett. 28, 167-169 (2003).
[CrossRef] [PubMed]

S. Kishk and B. Javidi, "3D object watermarking by a 3D hidden object," Opt. Express 11, 874-888 (2003).
[CrossRef] [PubMed]

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

O. Matoba, T. 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]

E. Tajahuerce, O. Matoba, and B. Javidi, "Shift-invariant three-dimensional object recognition by means of digital holography," Appl. Opt. 40, 3877-3886 (2001).
[CrossRef]

Y. Frauel and B. Javidi, "Neural network for three-dimensional object recognition based on digital holography," Opt. Lett. 26, 1478-1480 (2001).
[CrossRef]

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

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

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

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

B. Javidi and F. Okano, eds., Three-Dimensional Television, Video, and Display Technologies (Springer-Verlag, 2002).

Jericho, M. H.

W. Xu, M. H. Jericho, I. A. Meinertzhagen, and H. J. Kreuzer, "Digital in-line holography for biological applications," Proc. Natl. Acad. Sci. U.S.A. 98, 11301-11305 (2001).
[CrossRef] [PubMed]

Joannes, L.

Joseph, J.

N. K. Nishchal, J. Joseph, and K. Singh, "Fully phase encryption using digital holography," Opt. Eng. 235, 2959-2966 (2004).
[CrossRef]

N. K. Nishchal, J. Joseph, and K. Singh, "Securing information using fractional Fourier transform in digital holography," Opt. Commun. 235, 253-259 (2004).
[CrossRef]

Jüptner, W.

J. Müller, V. Kebbel, and W. Jüptner, "Characterization of spatial particle distributions in a spray-forming process using digital holography," Meas. Sci. Technol. 15, 706-710 (2004).
[CrossRef]

S. Seebacher, W. Osten, T. Baumbach, and W. Jüptner, "The determination of material parameters of microcomponents using digital holography," Opt. Lasers Eng. 36, 103-126 (2001).
[CrossRef]

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

Jüptner, W. P. O.

T. M. Kreis and W. P. O. Jüptner, "Suppression of the dc term in digital holography," Opt. Eng. 37, 2357-2360 (1997).
[CrossRef]

Kato, J.

I. Yamaguchi, T. Matsumura, and J. Kato, "Phase-shifting color digital holography," Opt. Lett. 27, 1108-1110 (2002).
[CrossRef]

I. Yamaguchi, S. Ohta, and J. Kato, "Image formation in phase-shifting digital holography and applications to microscopy," Appl. Opt. 40, 6177-6186 (2001).
[CrossRef]

I. Yamaguchi, J. Kato, and S. Ohta, "Surface shape measurement by phase-shifting digital holography," Opt. Rev. 8, 85-89 (2001).
[CrossRef]

I. Yamaguchi, S. Ohta, and J. Kato, "Surface contouring by phase-shifting digital holography," Opt. Lasers Eng. 36, 417-428 (2001).
[CrossRef]

Kawai, H.

Kebbel, V.

J. Müller, V. Kebbel, and W. Jüptner, "Characterization of spatial particle distributions in a spray-forming process using digital holography," Meas. Sci. Technol. 15, 706-710 (2004).
[CrossRef]

Kishk, S.

Klysubun, P.

G. Indebetouw and P. Klysubun, "Imaging through scattering media with depth resolution by use of low-coherence gating in spatiotemporal digital holography," Opt. Lett. 25, 212-214 (2000).
[CrossRef]

G. Indebetouw and P. Klysubun, "Space-time digital holography: a three-dimensional microscopic imaging scheme with an arbitrary degree of spatial coherence," Appl. Phys. Lett. 75, 2017-2019 (1999).
[CrossRef]

Kreis, T. M.

T. M. Kreis and W. P. O. Jüptner, "Suppression of the dc term in digital holography," Opt. Eng. 37, 2357-2360 (1997).
[CrossRef]

Kreuzer, H. J.

W. Xu, M. H. Jericho, I. A. Meinertzhagen, and H. J. Kreuzer, "Digital in-line holography for biological applications," Proc. Natl. Acad. Sci. U.S.A. 98, 11301-11305 (2001).
[CrossRef] [PubMed]

Kronrod, M. A.

M. A. Kronrod, N. S. Merzlyakov, and L. P. Yaroslavskii, "Reconstruction of a hologram with a computer," Sov. Phys. Tech. Phys. 17, 333-334 (1972).

Kubota, T.

Y. Awatsuji, M. Sasada, and T. Kubota, "Parallel quasi-phase-shifting digital holography," Appl. Phys. Lett. 85, 1069-1071 (2004).
[CrossRef]

Lai, S.

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

Lebrun, D.

Legros, J.-C.

Leith, E. N.

Liu, C.

C. Liu, Z. Liu, F. Bo, Y. Wang, and J. Zhu, "Super-resolution digital holographic imaging method," Appl. Phys. Lett. 81, 3143-3145 (2002).
[CrossRef]

Liu, S.

B. Zhu, H. Zhao, and S. Liu, "Image encryption based on pure intensity random coding and digital holography technique," Optik (Stuttgart) 114, 95-99 (2003).
[CrossRef]

B. Zhu, H. Zhao, and S. Liu, "Three-dimensional transparent objects recognition based on the digital holography and fractional correlator," Optik (Stuttgart) 113, 209-212 (2002).
[CrossRef]

Liu, Z.

C. Liu, Z. Liu, F. Bo, Y. Wang, and J. Zhu, "Super-resolution digital holographic imaging method," Appl. Phys. Lett. 81, 3143-3145 (2002).
[CrossRef]

Z. Liu, G. J. Steckman, and D. Psaltis, "Holographic recording of fast phenomena," Appl. Phys. Lett. 80, 731-733 (2002).
[CrossRef]

Lu, Q.

Y. Zhang, Q. Lu, and B. Ge, "Elimination of zero-order diffraction in digital off-axis holography," Opt. Commun. 240, 261-267 (2004).
[CrossRef]

Magro, C.

Malek, M.

M. Malek, D. Allano, S. Coetmellec, C. Ozkul, and D. Lebrun, "Digital in-line holography for three-dimensional-two-components particle tracking velocimetry," Meas. Sci. Technol. 15, 699-705 (2004).
[CrossRef]

D. Lebrun, A. M. Benkouider, S. Coetmellec, and M. Malek, "Particle field digital holographic reconstruction in arbitrary tilted planes," Opt. Express 11, 224-229 (2003).
[CrossRef] [PubMed]

Marquet, P.

Massig, J. H.

Matoba, O.

Matsumura, T.

Meinertzhagen, I. A.

W. Xu, M. H. Jericho, I. A. Meinertzhagen, and H. J. Kreuzer, "Digital in-line holography for biological applications," Proc. Natl. Acad. Sci. U.S.A. 98, 11301-11305 (2001).
[CrossRef] [PubMed]

Meng, H.

Merzlyakov, N. S.

M. A. Kronrod, N. S. Merzlyakov, and L. P. Yaroslavskii, "Reconstruction of a hologram with a computer," Sov. Phys. Tech. Phys. 17, 333-334 (1972).

Miao, J.

Morimoto, Y.

Y. Morimoto, T. Nomura, M. Fujigaki, S. Yoneyama, and I. Takahashi, "Deformation measurement by phase-shifting digital holography," Exp. Mech. 45, 65-70 (2005).
[CrossRef]

Müller, J.

J. Müller, V. Kebbel, and W. Jüptner, "Characterization of spatial particle distributions in a spray-forming process using digital holography," Meas. Sci. Technol. 15, 706-710 (2004).
[CrossRef]

Murata, S.

S. Murata and N. Yasuda, "Potential of digital holography in particle measurement," Opt. Laser Technol. 32, 567-574 (2000).
[CrossRef]

Naughton, T.

Naughton, T. J.

Neifeld, M. A.

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

Nishchal, N. K.

N. K. Nishchal, J. Joseph, and K. Singh, "Securing information using fractional Fourier transform in digital holography," Opt. Commun. 235, 253-259 (2004).
[CrossRef]

N. K. Nishchal, J. Joseph, and K. Singh, "Fully phase encryption using digital holography," Opt. Eng. 235, 2959-2966 (2004).
[CrossRef]

Nomura, T.

Y. Morimoto, T. Nomura, M. Fujigaki, S. Yoneyama, and I. Takahashi, "Deformation measurement by phase-shifting digital holography," Exp. Mech. 45, 65-70 (2005).
[CrossRef]

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

Ohta, S.

I. Yamaguchi, S. Ohta, and J. Kato, "Surface contouring by phase-shifting digital holography," Opt. Lasers Eng. 36, 417-428 (2001).
[CrossRef]

I. Yamaguchi, J. Kato, and S. Ohta, "Surface shape measurement by phase-shifting digital holography," Opt. Rev. 8, 85-89 (2001).
[CrossRef]

I. Yamaguchi, S. Ohta, and J. Kato, "Image formation in phase-shifting digital holography and applications to microscopy," Appl. Opt. 40, 6177-6186 (2001).
[CrossRef]

Ohzu, H.

Okano, F.

B. Javidi and F. Okano, eds., Three-Dimensional Television, Video, and Display Technologies (Springer-Verlag, 2002).

Onural, L.

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

Osten, W.

S. Seebacher, W. Osten, T. Baumbach, and W. Jüptner, "The determination of material parameters of microcomponents using digital holography," Opt. Lasers Eng. 36, 103-126 (2001).
[CrossRef]

Ozkul, C.

M. Malek, D. Allano, S. Coetmellec, C. Ozkul, and D. Lebrun, "Digital in-line holography for three-dimensional-two-components particle tracking velocimetry," Meas. Sci. Technol. 15, 699-705 (2004).
[CrossRef]

S. Coetmellec, D. Lebrun, and C. Ozkul, "Application of the two-dimensional fractional-order Fourier transformation to particle field digital holography," J. Opt. Soc. Am. A 19, 1537-1546 (2002).
[CrossRef]

Pan, G.

Pedrini, G.

G. Pedrini and H. J. Tiziani, "Short-coherence digital microscopy by use of a lensless holographic imaging system," Appl. Opt. 41, 4489-4496 (2002).
[CrossRef] [PubMed]

G. Pedrini and S. Schedin, "Short coherence digital holography for 3D microscopy," Optik (Stuttgart) 112, 427-432 (2001).
[CrossRef]

G. Pedrini, S. Schedin, and H. J. Tiziani, "Spatial filtering in digital holographic microscopy," J. Mod. Opt. 47, 1447-1454 (2000).
[CrossRef]

G. Pedrini, P. Froning, H. Fessler, and H. J. Tiziani, "In-line digital holographic interferometry," Appl. Opt. 37, 6262-6269 (1998).
[CrossRef]

G. Pedrini and H. J. Tiziani, "Quantitative evaluation of two-dimensional dynamic deformations using digital holography," Opt. Lasers Eng. 29, 249-256 (1997).
[CrossRef]

G. Pedrini, P. Froning, H. Fessler, and H. J. Tiziani, "Transient vibration measurements using multipulse digital holography," Opt. Lasers Eng. 29, 505-511 (1997).

G. Pedrini, B. Pfister, and H. Tiziani, "Digital double-pulsed holographic interferometry for vibration," J. Mod. Opt. 40, 367-374 (1995).
[CrossRef]

Peng, X.

Pfister, B.

G. Pedrini, B. Pfister, and H. Tiziani, "Digital double-pulsed holographic interferometry for vibration," J. Mod. Opt. 40, 367-374 (1995).
[CrossRef]

Piano, E.

Pierattini, G.

Plerattini, G.

P. Ferraro, S. De Nicola, A. Finizio, G. Coppola, S. Grilli, C. Magro, and G. Plerattini, "Compensation of the inherent wave front curvature in digital holographic coherent microscopy for quantitative phase-contrast imaging," Appl. Opt. 42, 1938-1946 (2003).
[CrossRef] [PubMed]

S. De Nicola, P. Ferraro, A. Finizio, and G. Plerattini, "Wave front reconstruction of Fresnel off-axis holograms with compensation of aberrations by means of phase-shifting digital holography," Opt. Lasers Eng. 37, 331-340 (2002).
[CrossRef]

Pontiggia, C.

Psaltis, D.

Z. Liu, G. J. Steckman, and D. Psaltis, "Holographic recording of fast phenomena," Appl. Phys. Lett. 80, 731-733 (2002).
[CrossRef]

Repetto, L.

Sasada, M.

Y. Awatsuji, M. Sasada, and T. Kubota, "Parallel quasi-phase-shifting digital holography," Appl. Phys. Lett. 85, 1069-1071 (2004).
[CrossRef]

Schedin, S.

G. Pedrini and S. Schedin, "Short coherence digital holography for 3D microscopy," Optik (Stuttgart) 112, 427-432 (2001).
[CrossRef]

G. Pedrini, S. Schedin, and H. J. Tiziani, "Spatial filtering in digital holographic microscopy," J. Mod. Opt. 47, 1447-1454 (2000).
[CrossRef]

Schnars, U.

Scott, P. D.

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

Sebesta, M.

Seebacher, S.

S. Seebacher, W. Osten, T. Baumbach, and W. Jüptner, "The determination of material parameters of microcomponents using digital holography," Opt. Lasers Eng. 36, 103-126 (2001).
[CrossRef]

Singh, K.

N. K. Nishchal, J. Joseph, and K. Singh, "Securing information using fractional Fourier transform in digital holography," Opt. Commun. 235, 253-259 (2004).
[CrossRef]

N. K. Nishchal, J. Joseph, and K. Singh, "Fully phase encryption using digital holography," Opt. Eng. 235, 2959-2966 (2004).
[CrossRef]

Stadelmaier, A.

Steckman, G. J.

Z. Liu, G. J. Steckman, and D. Psaltis, "Holographic recording of fast phenomena," Appl. Phys. Lett. 80, 731-733 (2002).
[CrossRef]

Tajahuerce, E.

Takahashi, I.

Y. Morimoto, T. Nomura, M. Fujigaki, S. Yoneyama, and I. Takahashi, "Deformation measurement by phase-shifting digital holography," Exp. Mech. 45, 65-70 (2005).
[CrossRef]

Takaki, Y.

Tiziani, H.

G. Pedrini, B. Pfister, and H. Tiziani, "Digital double-pulsed holographic interferometry for vibration," J. Mod. Opt. 40, 367-374 (1995).
[CrossRef]

Tiziani, H. J.

G. Pedrini and H. J. Tiziani, "Short-coherence digital microscopy by use of a lensless holographic imaging system," Appl. Opt. 41, 4489-4496 (2002).
[CrossRef] [PubMed]

G. Pedrini, S. Schedin, and H. J. Tiziani, "Spatial filtering in digital holographic microscopy," J. Mod. Opt. 47, 1447-1454 (2000).
[CrossRef]

G. Pedrini, P. Froning, H. Fessler, and H. J. Tiziani, "In-line digital holographic interferometry," Appl. Opt. 37, 6262-6269 (1998).
[CrossRef]

G. Pedrini and H. J. Tiziani, "Quantitative evaluation of two-dimensional dynamic deformations using digital holography," Opt. Lasers Eng. 29, 249-256 (1997).
[CrossRef]

G. Pedrini, P. Froning, H. Fessler, and H. J. Tiziani, "Transient vibration measurements using multipulse digital holography," Opt. Lasers Eng. 29, 505-511 (1997).

Upatnieks, J.

Wang, Y.

C. Liu, Z. Liu, F. Bo, Y. Wang, and J. Zhu, "Super-resolution digital holographic imaging method," Appl. Phys. Lett. 81, 3143-3145 (2002).
[CrossRef]

Woodward, S. H.

M. Hui, P. Gang, P. Ye, and S. H. Woodward, "Holographic particle image velocimetry: from film to digital recording," Meas. Sci. Technol. 15, 673-685 (2004).
[CrossRef]

Xu, L.

Xu, W.

W. Xu, M. H. Jericho, I. A. Meinertzhagen, and H. J. Kreuzer, "Digital in-line holography for biological applications," Proc. Natl. Acad. Sci. U.S.A. 98, 11301-11305 (2001).
[CrossRef] [PubMed]

Yamaguchi, I.

Yaroslavskii, L. P.

M. A. Kronrod, N. S. Merzlyakov, and L. P. Yaroslavskii, "Reconstruction of a hologram with a computer," Sov. Phys. Tech. Phys. 17, 333-334 (1972).

Yasuda, N.

S. Murata and N. Yasuda, "Potential of digital holography in particle measurement," Opt. Laser Technol. 32, 567-574 (2000).
[CrossRef]

Ye, P.

M. Hui, P. Gang, P. Ye, and S. H. Woodward, "Holographic particle image velocimetry: from film to digital recording," Meas. Sci. Technol. 15, 673-685 (2004).
[CrossRef]

Yoneyama, S.

Y. Morimoto, T. Nomura, M. Fujigaki, S. Yoneyama, and I. Takahashi, "Deformation measurement by phase-shifting digital holography," Exp. Mech. 45, 65-70 (2005).
[CrossRef]

Yu, L.

L. Yu and L. Cai, "Data encryption by disarranging the holographic information with rotated holograms," Optik (Stuttgart) 114, 497-503 (2003).
[CrossRef]

L. Yu and L. Cai, "Multidimensional data encryption with digital holography," Opt. Commun. 215, 271-284 (2003).
[CrossRef]

Zhang, T.

Zhang, Y.

Y. Zhang, Q. Lu, and B. Ge, "Elimination of zero-order diffraction in digital off-axis holography," Opt. Commun. 240, 261-267 (2004).
[CrossRef]

Zhao, H.

B. Zhu, H. Zhao, and S. Liu, "Image encryption based on pure intensity random coding and digital holography technique," Optik (Stuttgart) 114, 95-99 (2003).
[CrossRef]

B. Zhu, H. Zhao, and S. Liu, "Three-dimensional transparent objects recognition based on the digital holography and fractional correlator," Optik (Stuttgart) 113, 209-212 (2002).
[CrossRef]

Zhu, B.

B. Zhu, H. Zhao, and S. Liu, "Image encryption based on pure intensity random coding and digital holography technique," Optik (Stuttgart) 114, 95-99 (2003).
[CrossRef]

B. Zhu, H. Zhao, and S. Liu, "Three-dimensional transparent objects recognition based on the digital holography and fractional correlator," Optik (Stuttgart) 113, 209-212 (2002).
[CrossRef]

Zhu, J.

C. Liu, Z. Liu, F. Bo, Y. Wang, and J. Zhu, "Super-resolution digital holographic imaging method," Appl. Phys. Lett. 81, 3143-3145 (2002).
[CrossRef]

Appl. Opt.

G. Pedrini, P. Froning, H. Fessler, and H. J. Tiziani, "In-line digital holographic interferometry," Appl. Opt. 37, 6262-6269 (1998).
[CrossRef]

G. Pan and H. Meng, "Digital holography of particle fields: reconstruction by use of complex amplitude," Appl. Opt. 42, 827-833 (2003).
[CrossRef] [PubMed]

F. Dubois, L. Joannes, and J.-C. Legros, "Improved three-dimensional imaging with a digital holography microscope with a source of partial spatial coherence," Appl. Opt. 38, 7085-7094 (1999).
[CrossRef]

L. Xu, X. Peng, J. Miao, and A. K. Asundi, "Studies of digital microscopic holography with applications to microstructure testing," Appl. Opt. 40, 5046-5051 (2001).
[CrossRef]

G. Pedrini and H. J. Tiziani, "Short-coherence digital microscopy by use of a lensless holographic imaging system," Appl. Opt. 41, 4489-4496 (2002).
[CrossRef] [PubMed]

M. Gustafsson and M. Sebesta, "Refractometry of microscopic objects with digital holography," Appl. Opt. 43, 4796-4801 (2004).
[CrossRef] [PubMed]

P. Ferraro, S. De Nicola, A. Finizio, G. Coppola, S. Grilli, C. Magro, and G. Plerattini, "Compensation of the inherent wave front curvature in digital holographic coherent microscopy for quantitative phase-contrast imaging," Appl. Opt. 42, 1938-1946 (2003).
[CrossRef] [PubMed]

E. Tajahuerce, O. Matoba, and B. Javidi, "Shift-invariant three-dimensional object recognition by means of digital holography," Appl. Opt. 40, 3877-3886 (2001).
[CrossRef]

Y. Frauel, E. Tajahuerce, M. 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]

Y. Frauel, E. Tajahuerce, O. Matoba, M. Castro, and B. Javidi, "Comparison of passive ranging integral imaging and active imaging digital holography for three-dimensional object recognition," Appl. Opt. 43, 452-462 (2004).
[CrossRef] [PubMed]

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

O. Matoba, T. 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]

I. Yamaguchi, S. Ohta, and J. Kato, "Image formation in phase-shifting digital holography and applications to microscopy," Appl. Opt. 40, 6177-6186 (2001).
[CrossRef]

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

Y. Takaki, H. Kawai, and H. Ohzu, "Hybrid-holographic microscopy free of conjugate and zero-order images," Appl. Opt. 38, 4990-4996 (1999).
[CrossRef]

E. Cuche, P. Marquet, and C. Depeursinge, "Spatial filtering for zero-order and twin-image elimination in digital off-axis holography," Appl. Opt. 39, 4070-4075 (2000).
[CrossRef]

Appl. Phys. Lett.

Y. Awatsuji, M. Sasada, and T. Kubota, "Parallel quasi-phase-shifting digital holography," Appl. Phys. Lett. 85, 1069-1071 (2004).
[CrossRef]

C. Liu, Z. Liu, F. Bo, Y. Wang, and J. Zhu, "Super-resolution digital holographic imaging method," Appl. Phys. Lett. 81, 3143-3145 (2002).
[CrossRef]

G. Indebetouw and P. Klysubun, "Space-time digital holography: a three-dimensional microscopic imaging scheme with an arbitrary degree of spatial coherence," Appl. Phys. Lett. 75, 2017-2019 (1999).
[CrossRef]

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J. Opt. Soc. Am.

J. Opt. Soc. Am. A

Meas. Sci. Technol.

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[CrossRef]

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[CrossRef]

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[CrossRef]

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[CrossRef]

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[CrossRef]

Nature

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Opt. Commun.

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Opt. Eng.

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[CrossRef]

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Opt. Express

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Opt. Lasers Eng.

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[CrossRef]

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[CrossRef]

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[CrossRef]

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[CrossRef]

Opt. Lett.

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[CrossRef]

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[CrossRef]

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[CrossRef]

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B. Zhu, H. Zhao, and S. Liu, "Three-dimensional transparent objects recognition based on the digital holography and fractional correlator," Optik (Stuttgart) 113, 209-212 (2002).
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Other

See, for example, J. W. Goodman, Introduction to Fourier Optics, 2nd ed. (McGraw-Hill, 1996).

B. Javidi and F. Okano, eds., Three-Dimensional Television, Video, and Display Technologies (Springer-Verlag, 2002).

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Figures (6)

Fig. 1
Fig. 1

Implementation of parallel quasi-phase-shifting digital holography: (a) optical system, (b) phase-shifting array device and distribution of the reference wave.

Fig. 2
Fig. 2

Conventional scheme for the reconstruction of parallel quasi-phase-shifting digital holography.

Fig. 3
Fig. 3

Proposed scheme for the reconstruction of parallel quasi-phase-shifting digital holography.

Fig. 4
Fig. 4

Object and numerically reconstructed images consisting of 256 × 256   pixels : (a) amplitude distribution, (b) phase distribution of object, (c) amplitude distribution, (d) phase distribution of the reconstructed images from the conventional sequential phase-shifting method, (e) amplitude distribution, (f) phase distribution of the reconstructed images from the parallel quasi-phase-shifting method using the proposed scheme, (g) amplitude distribution, (h) phase distribution for the reconstructed images from the parallel quasi-phase-shifting method using the conventional scheme, (i) amplitude distribution, (j) phase distribution of the reconstructed images from the Fresnel transform with the dc term subtracted.

Fig. 5
Fig. 5

Optical system for the preliminary experiment.

Fig. 6
Fig. 6

Reconstructed images from optical recording: (a) conventional sequential phase-shifting method, (b) parallel quasi-phase-shifting method using the proposed scheme, (c) parallel quasi-phase-shifting method using the conventional scheme. Each image consists of 512 × 512   pixels .

Equations (2)

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u ( x , y ) = [ I ( 0 ) I ( π ) ] + i [ I ( π / 2 ) I ( 3 π / 2 ) ] 4 .
U ( X , Y ) = u ( x , y ) exp { 2 π i λ [ Z + ( X - x ) 2 + ( Y y ) 2 2 Z ] } d x d y .

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