Abstract

A simple calculation method to synthesize computer-generated holographic stereograms, which does not involve diffraction calculations, is proposed. It is assumed that three-dimension (3D) image generation by holographic stereograms is similar to that of multi-view autostereoscopic displays, in that multiple parallax images are displayed with rays converging to corresponding viewpoints. Therefore, a wavefront is calculated, whose amplitude is the square root of an intensity distribution of a parallax image and whose phase is a quadric phase distribution of a spherical wave converging to a viewpoint. Multiple wavefronts calculated for multiple viewpoints are summed up to obtain an object wave, which is then used to determine a hologram pattern. The proposed technique was experimentally verified.

©2013 Optical Society of America

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References

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    [Crossref]
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    [Crossref]
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2010 (2)

Q. Y. J. Smithwick, J. Barabas, D. E. Smalley, and V. M. Bove., “Interactive holographic stereograms with accommodation cues,” Proc. SPIE 7619, 761903, 761903-13 (2010).
[Crossref]

N. Chen, J.-H. Park, and N. Kim, “Parameter analysis of integral Fourier hologram and its resolution enhancement,” Opt. Express 18(3), 2152–2167 (2010).
[Crossref] [PubMed]

2009 (2)

2008 (3)

2007 (1)

2006 (2)

T. Mishina, M. Okui, and F. Okano, “Calculation of holograms from elemental images captured by integral photography,” Appl. Opt. 45(17), 4026–4036 (2006).
[Crossref] [PubMed]

W. Plesniak, M. Halle, V. M. Bove, J. Barabas, and R. Pappu, “Reconfigurable image projection holograms,” Opt. Eng. 45(11), 115801 (2006).
[Crossref]

2005 (1)

N. A. Dodgson, “Autostereoscopic 3D displays,” Computer 38(8), 31–36 (2005).
[Crossref]

2003 (1)

1980 (1)

T. Okoshi, “Three-dimensional displays,” Proc. IEEE 68(5), 548–564 (1980).
[Crossref]

1976 (1)

1970 (1)

1969 (1)

1968 (3)

O. Bryngdahl and A. Lohmann, “Single-sideband holography,” J. Opt. Soc. Am. 58(5), 620–624 (1968).
[Crossref]

D. J. De Bitetto, “Transmission bandwidth reduction of holographic stereograms recorded in white light,” Appl. Phys. Lett. 12(10), 343–344 (1968).
[Crossref]

J. T. McCrickerd and N. George, “Holographic stereogram from sequential component photographs,” Appl. Phys. Lett. 12(1), 10–12 (1968).
[Crossref]

1967 (1)

R. V. Pole, “3-D imagery and holograms of objects illuminated in white light,” Appl. Phys. Lett. 10(1), 20–22 (1967).
[Crossref]

Abookasis, D.

Baasantseren, G.

Barabas, J.

Q. Y. J. Smithwick, J. Barabas, D. E. Smalley, and V. M. Bove., “Interactive holographic stereograms with accommodation cues,” Proc. SPIE 7619, 761903, 761903-13 (2010).
[Crossref]

W. Plesniak, M. Halle, V. M. Bove, J. Barabas, and R. Pappu, “Reconfigurable image projection holograms,” Opt. Eng. 45(11), 115801 (2006).
[Crossref]

Berry, D. H.

Bove, V. M.

Q. Y. J. Smithwick, J. Barabas, D. E. Smalley, and V. M. Bove., “Interactive holographic stereograms with accommodation cues,” Proc. SPIE 7619, 761903, 761903-13 (2010).
[Crossref]

W. Plesniak, M. Halle, V. M. Bove, J. Barabas, and R. Pappu, “Reconfigurable image projection holograms,” Opt. Eng. 45(11), 115801 (2006).
[Crossref]

Bryngdahl, O.

Chen, N.

De Bitetto, D. J.

D. J. De Bitetto, “Transmission bandwidth reduction of holographic stereograms recorded in white light,” Appl. Phys. Lett. 12(10), 343–344 (1968).
[Crossref]

DeBitetto, D. J.

Dodgson, N. A.

N. A. Dodgson, “Autostereoscopic 3D displays,” Computer 38(8), 31–36 (2005).
[Crossref]

George, N.

J. T. McCrickerd and N. George, “Holographic stereogram from sequential component photographs,” Appl. Phys. Lett. 12(1), 10–12 (1968).
[Crossref]

Halle, M.

W. Plesniak, M. Halle, V. M. Bove, J. Barabas, and R. Pappu, “Reconfigurable image projection holograms,” Opt. Eng. 45(11), 115801 (2006).
[Crossref]

Kang, H.

Kim, M.-S.

Kim, N.

King, M. C.

Lohmann, A.

McCrickerd, J. T.

J. T. McCrickerd and N. George, “Holographic stereogram from sequential component photographs,” Appl. Phys. Lett. 12(1), 10–12 (1968).
[Crossref]

Mishina, T.

Noll, A. M.

Okano, F.

Okoshi, T.

T. Okoshi, “Three-dimensional displays,” Proc. IEEE 68(5), 548–564 (1980).
[Crossref]

Okui, M.

Pappu, R.

W. Plesniak, M. Halle, V. M. Bove, J. Barabas, and R. Pappu, “Reconfigurable image projection holograms,” Opt. Eng. 45(11), 115801 (2006).
[Crossref]

Park, J.-H.

Plesniak, W.

W. Plesniak, M. Halle, V. M. Bove, J. Barabas, and R. Pappu, “Reconfigurable image projection holograms,” Opt. Eng. 45(11), 115801 (2006).
[Crossref]

Pole, R. V.

R. V. Pole, “3-D imagery and holograms of objects illuminated in white light,” Appl. Phys. Lett. 10(1), 20–22 (1967).
[Crossref]

Rosen, J.

Shaked, N. T.

Smalley, D. E.

Q. Y. J. Smithwick, J. Barabas, D. E. Smalley, and V. M. Bove., “Interactive holographic stereograms with accommodation cues,” Proc. SPIE 7619, 761903, 761903-13 (2010).
[Crossref]

Smithwick, Q. Y. J.

Q. Y. J. Smithwick, J. Barabas, D. E. Smalley, and V. M. Bove., “Interactive holographic stereograms with accommodation cues,” Proc. SPIE 7619, 761903, 761903-13 (2010).
[Crossref]

Stern, A.

Takaki, Y.

Tanemoto, Y.

Yamaguchi, T.

Yatagai, T.

Yoshikawa, H.

Appl. Opt. (7)

Appl. Phys. Lett. (3)

R. V. Pole, “3-D imagery and holograms of objects illuminated in white light,” Appl. Phys. Lett. 10(1), 20–22 (1967).
[Crossref]

D. J. De Bitetto, “Transmission bandwidth reduction of holographic stereograms recorded in white light,” Appl. Phys. Lett. 12(10), 343–344 (1968).
[Crossref]

J. T. McCrickerd and N. George, “Holographic stereogram from sequential component photographs,” Appl. Phys. Lett. 12(1), 10–12 (1968).
[Crossref]

Computer (1)

N. A. Dodgson, “Autostereoscopic 3D displays,” Computer 38(8), 31–36 (2005).
[Crossref]

J. Opt. Soc. Am. (1)

J. Opt. Soc. Am. A (2)

Opt. Eng. (1)

W. Plesniak, M. Halle, V. M. Bove, J. Barabas, and R. Pappu, “Reconfigurable image projection holograms,” Opt. Eng. 45(11), 115801 (2006).
[Crossref]

Opt. Express (3)

Proc. IEEE (1)

T. Okoshi, “Three-dimensional displays,” Proc. IEEE 68(5), 548–564 (1980).
[Crossref]

Proc. SPIE (1)

Q. Y. J. Smithwick, J. Barabas, D. E. Smalley, and V. M. Bove., “Interactive holographic stereograms with accommodation cues,” Proc. SPIE 7619, 761903, 761903-13 (2010).
[Crossref]

Other (1)

T. Okoshi, Three-Dimensional Imaging Techniques (Academic Press, New York, 1976).

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Figures (10)

Fig. 1
Fig. 1 Process of recording and reconstructing holographic stereograms: (a) capturing parallax images of real objects using incoherent light, (b) recording parallax images on hologram film using coherent light, and (c) reconstructing holographic stereogram.
Fig. 2
Fig. 2 Holographic stereogram copying process: (a) reconstruction of the first hologram and recording of the second hologram, and (b) reconstruction of the second hologram.
Fig. 3
Fig. 3 3D image generation by a multi-view display.
Fig. 4
Fig. 4 Object wave generation of the proposed technique.
Fig. 5
Fig. 5 Schematic diagram illustrating the arrangement of viewpoints in the viewing zone.
Fig. 6
Fig. 6 Schematic diagram of the 4f imaging system used for experiment.
Fig. 7
Fig. 7 Images generated at viewpoints and intermediate positions between viewpoints: parallax images are added with (a) uniform phase, (b) common random phase, and (c) different random phase.
Fig. 8
Fig. 8 Reconstructed images generated by the proposed technique; parallax images were generated by a computer, and a common random phase distribution was added.
Fig. 9
Fig. 9 Reconstructed images of real objects when a uniform phase distribution was added to the camera-captured parallax images.
Fig. 10
Fig. 10 Reconstructed images of real objects when a common random phase distribution was added to the camera-captured parallax images.

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o( x,y )= m=1 M I m ( x,y ) exp[ iα( x,y ) ]exp[ ik ( x x m ) 2 + ( y y m ) 2 + l 2 ],

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