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.

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  1. R. V. Pole, “3-D imagery and holograms of objects illuminated in white light,” Appl. Phys. Lett.10(1), 20–22 (1967).
    [CrossRef]
  2. D. J. De Bitetto, “Transmission bandwidth reduction of holographic stereograms recorded in white light,” Appl. Phys. Lett.12(10), 343–344 (1968).
    [CrossRef]
  3. J. T. McCrickerd and N. George, “Holographic stereogram from sequential component photographs,” Appl. Phys. Lett.12(1), 10–12 (1968).
    [CrossRef]
  4. D. J. DeBitetto, “Holographic panoramic stereograms synthesized from white light recordings,” Appl. Opt.8(8), 1740–1741 (1969).
    [CrossRef] [PubMed]
  5. M. C. King, A. M. Noll, and D. H. Berry, “A new approach to computer-generated holography,” Appl. Opt.9(2), 471–475 (1970).
    [CrossRef] [PubMed]
  6. T. Yatagai, “Stereoscopic approach to 3-D display using computer-generated holograms,” Appl. Opt.15(11), 2722–2729 (1976).
    [CrossRef] [PubMed]
  7. H. Kang, T. Yamaguchi, and H. Yoshikawa, “Accurate phase-added stereogram to improve the coherent stereogram,” Appl. Opt.47(19), D44–D54 (2008).
    [CrossRef] [PubMed]
  8. D. Abookasis and J. Rosen, “Computer-generated holograms of three-dimensional objects synthesized from their multiple angular viewpoints,” J. Opt. Soc. Am. A20(8), 1537–1545 (2003).
    [CrossRef] [PubMed]
  9. N. T. Shaked, J. Rosen, and A. Stern, “Integral holography: white-light single-shot hologram acquisition,” Opt. Express15(9), 5754–5760 (2007).
    [CrossRef] [PubMed]
  10. N. T. Shaked and J. Rosen, “Modified Fresnel computer-generated hologram directly recorded by multiple-viewpoint projections,” Appl. Opt.47(19), D21–D27 (2008).
    [CrossRef] [PubMed]
  11. N. T. Shaked and J. Rosen, “Multiple-viewpoint projection holograms synthesized by spatially incoherent correlation with broadband functions,” J. Opt. Soc. Am. A25(8), 2129–2138 (2008).
    [CrossRef] [PubMed]
  12. J.-H. Park, M.-S. Kim, G. Baasantseren, and N. Kim, “Fresnel and Fourier hologram generation using orthographic projection images,” Opt. Express17(8), 6320–6334 (2009).
    [CrossRef] [PubMed]
  13. N. Chen, J.-H. Park, and N. Kim, “Parameter analysis of integral Fourier hologram and its resolution enhancement,” Opt. Express18(3), 2152–2167 (2010).
    [CrossRef] [PubMed]
  14. 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]
  15. W. Plesniak, M. Halle, V. M. Bove, J. Barabas, and R. Pappu, “Reconfigurable image projection holograms,” Opt. Eng.45(11), 115801 (2006).
    [CrossRef]
  16. Q. Y. J. Smithwick, J. Barabas, D. E. Smalley, and V. M. Bove., “Interactive holographic stereograms with accommodation cues,” Proc. SPIE7619, 761903, 761903-13 (2010).
    [CrossRef]
  17. T. Okoshi, Three-Dimensional Imaging Techniques (Academic Press, New York, 1976).
  18. T. Okoshi, “Three-dimensional displays,” Proc. IEEE68(5), 548–564 (1980).
    [CrossRef]
  19. N. A. Dodgson, “Autostereoscopic 3D displays,” Computer38(8), 31–36 (2005).
    [CrossRef]
  20. O. Bryngdahl and A. Lohmann, “Single-sideband holography,” J. Opt. Soc. Am.58(5), 620–624 (1968).
    [CrossRef]
  21. Y. Takaki and Y. Tanemoto, “Band-limited zone plates for single-sideband holography,” Appl. Opt.48(34), H64–H70 (2009).
    [CrossRef] [PubMed]

2010

Q. Y. J. Smithwick, J. Barabas, D. E. Smalley, and V. M. Bove., “Interactive holographic stereograms with accommodation cues,” Proc. SPIE7619, 761903, 761903-13 (2010).
[CrossRef]

N. Chen, J.-H. Park, and N. Kim, “Parameter analysis of integral Fourier hologram and its resolution enhancement,” Opt. Express18(3), 2152–2167 (2010).
[CrossRef] [PubMed]

2009

2008

2007

2006

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

N. A. Dodgson, “Autostereoscopic 3D displays,” Computer38(8), 31–36 (2005).
[CrossRef]

2003

1980

T. Okoshi, “Three-dimensional displays,” Proc. IEEE68(5), 548–564 (1980).
[CrossRef]

1976

1970

1969

1968

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

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. SPIE7619, 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. SPIE7619, 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,” Computer38(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. IEEE68(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. SPIE7619, 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. SPIE7619, 761903, 761903-13 (2010).
[CrossRef]

Stern, A.

Takaki, Y.

Tanemoto, Y.

Yamaguchi, T.

Yatagai, T.

Yoshikawa, H.

Appl. Opt.

Appl. Phys. Lett.

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

N. A. Dodgson, “Autostereoscopic 3D displays,” Computer38(8), 31–36 (2005).
[CrossRef]

J. Opt. Soc. Am.

J. Opt. Soc. Am. A

Opt. Eng.

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

Proc. IEEE

T. Okoshi, “Three-dimensional displays,” Proc. IEEE68(5), 548–564 (1980).
[CrossRef]

Proc. SPIE

Q. Y. J. Smithwick, J. Barabas, D. E. Smalley, and V. M. Bove., “Interactive holographic stereograms with accommodation cues,” Proc. SPIE7619, 761903, 761903-13 (2010).
[CrossRef]

Other

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.

Equations (1)

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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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