Abstract

We propose a new method for occlusion culling in the computation of a hologram based on the mutual conversion between light-rays and wavefront. Since the occlusion culling is performed with light-ray information, conventional rendering techniques such as ray-tracing or image-based rendering can be employed. On the other hand, the wavefront is derived for the calculation of light propagation, the hologram of 3-D objects can be obtained in high accuracy. In the numerical experiment, we demonstrate that our approach can reproduce a high-resolution image for deep 3-D scene with correct occlusion effect between plural objects.

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    [CrossRef]
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    [CrossRef]
  3. K. Yamamoto, T. Senoh, R. Oi, and T. Kurita, “8K4K-size computer generated hologram for 3-D visual system using rendering technology,” in Proceedings of IEEE Conference on Universal Communication Symposium (Institute of Computing Technology, Beijing, 2010), pp. 193–196.
    [CrossRef]
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    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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  8. M. Yamaguchi, H. Hoshino, T. Honda, and N. Ohyama, “Phase-added stereogram: calculation of hologram using computer graphics technique,” Proc. SPIE1914, 25–33 (1993).
  9. H. Kang, F. Yaras, and L. Onural, “Quality comparison and acceleration for digital hologram generation method based on segmentation,” in Proceedings of the 3DTV-Conference 2009, pp.1–4 (2009).
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    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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    [CrossRef]
  16. H. Zhang, N. Collings, J. Chen, B. Crossland, D. Chu, and J. Xie, “Full parallax three-dimensional display with occlusion effect using computer generated hologram,” Opt. Eng.50(7), 074003 (2011).
    [CrossRef]
  17. R. H.-Y. Chen and T. D. Wilkinson, “Computer generated hologram with geometric occlusion using GPU-accelerated depth buffer rasterization for three-dimensional display,” Appl. Opt.48(21), 4246–4255 (2009).
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  18. R. H.-Y. Chen and T. D. Wilkinson, “Computer generated hologram from point cloud using graphics processor,” Appl. Opt.48(36), 6841–6850 (2009).
    [CrossRef] [PubMed]
  19. J. Goodman, Introduction to Fourier optics (McGraw-Hill, 1996).
  20. R. P. Muffoletto, J. M. Tyler, and J. E. Tohline, “Shifted Fresnel diffraction for computational holography,” Opt. Express15(9), 5631–5640 (2007).
    [CrossRef] [PubMed]

2011

H. Zhang, N. Collings, J. Chen, B. Crossland, D. Chu, and J. Xie, “Full parallax three-dimensional display with occlusion effect using computer generated hologram,” Opt. Eng.50(7), 074003 (2011).
[CrossRef]

K. Wakunami and M. Yamaguchi, “Calculation for computer generated hologram using ray-sampling plane,” Opt. Express19(10), 9086–9101 (2011).

2009

2007

2006

2005

K. Matsushima, “Exact hidden-surface removal in digitally synthetic full-parallax holograms,” Proc. SPIE5742, 25–32 (2005).
[CrossRef]

1997

J. S. Underkoffler, “Occlusion processing and smooth surface shading for fully computed synthetic holography,” Proc. SPIE3011, 19–30 (1997).
[CrossRef]

1995

H. Yoshikawa and H. Kameyama, “Integral Holography,” Proc. SPIE2406, 226 (1995).

1994

1993

M. Yamaguchi, H. Hoshino, T. Honda, and N. Ohyama, “Phase-added stereogram: calculation of hologram using computer graphics technique,” Proc. SPIE1914, 25–33 (1993).

1992

M. Lucente, “Optimization of Hologram Computation for Real-Time Display,” Proc. SPIE1667, 32–43 (1992).
[CrossRef]

1976

1972

J. T. McCrickerd, “Comparison of Stereograms: Pinhole, Fly’s Eye, and Holographic Types,” J. Opt. Soc. Am. A62(1), 64–70 (1972).
[CrossRef]

1966

J. P. Waters, “Holographic image synthesis utilizing theoretical methods,” Appl. Phys. Lett.9(11), 405–406 (1966).
[CrossRef]

Baradas, J.

Q. Y. J. Smithwick, J. Baradas, D. E. Smalley, and V. M. Bove., “Real-time shader rendering of holographic stereograms,” Proc. SPIE Practical holography XXIII, v. 7233 (2009).

Bove, V. M.

Q. Y. J. Smithwick, J. Baradas, D. E. Smalley, and V. M. Bove., “Real-time shader rendering of holographic stereograms,” Proc. SPIE Practical holography XXIII, v. 7233 (2009).

Chen, J.

H. Zhang, N. Collings, J. Chen, B. Crossland, D. Chu, and J. Xie, “Full parallax three-dimensional display with occlusion effect using computer generated hologram,” Opt. Eng.50(7), 074003 (2011).
[CrossRef]

Chen, R. H.-Y.

Chu, D.

H. Zhang, N. Collings, J. Chen, B. Crossland, D. Chu, and J. Xie, “Full parallax three-dimensional display with occlusion effect using computer generated hologram,” Opt. Eng.50(7), 074003 (2011).
[CrossRef]

Collings, N.

H. Zhang, N. Collings, J. Chen, B. Crossland, D. Chu, and J. Xie, “Full parallax three-dimensional display with occlusion effect using computer generated hologram,” Opt. Eng.50(7), 074003 (2011).
[CrossRef]

Crossland, B.

H. Zhang, N. Collings, J. Chen, B. Crossland, D. Chu, and J. Xie, “Full parallax three-dimensional display with occlusion effect using computer generated hologram,” Opt. Eng.50(7), 074003 (2011).
[CrossRef]

Helseth, L. E.

Hilaire, P. S.

Honda, T.

M. Yamaguchi, H. Hoshino, T. Honda, and N. Ohyama, “Phase-added stereogram: calculation of hologram using computer graphics technique,” Proc. SPIE1914, 25–33 (1993).

Hoshino, H.

M. Yamaguchi, H. Hoshino, T. Honda, and N. Ohyama, “Phase-added stereogram: calculation of hologram using computer graphics technique,” Proc. SPIE1914, 25–33 (1993).

Kameyama, H.

H. Yoshikawa and H. Kameyama, “Integral Holography,” Proc. SPIE2406, 226 (1995).

Lucente, M.

M. Lucente, “Optimization of Hologram Computation for Real-Time Display,” Proc. SPIE1667, 32–43 (1992).
[CrossRef]

Matsushima, K.

McCrickerd, J. T.

J. T. McCrickerd, “Comparison of Stereograms: Pinhole, Fly’s Eye, and Holographic Types,” J. Opt. Soc. Am. A62(1), 64–70 (1972).
[CrossRef]

Muffoletto, R. P.

Nakahara, S.

Ohyama, N.

M. Yamaguchi, H. Hoshino, T. Honda, and N. Ohyama, “Phase-added stereogram: calculation of hologram using computer graphics technique,” Proc. SPIE1914, 25–33 (1993).

Smalley, D. E.

Q. Y. J. Smithwick, J. Baradas, D. E. Smalley, and V. M. Bove., “Real-time shader rendering of holographic stereograms,” Proc. SPIE Practical holography XXIII, v. 7233 (2009).

Smithwick, Q. Y. J.

Q. Y. J. Smithwick, J. Baradas, D. E. Smalley, and V. M. Bove., “Real-time shader rendering of holographic stereograms,” Proc. SPIE Practical holography XXIII, v. 7233 (2009).

Tohline, J. E.

Tyler, J. M.

Underkoffler, J. S.

J. S. Underkoffler, “Occlusion processing and smooth surface shading for fully computed synthetic holography,” Proc. SPIE3011, 19–30 (1997).
[CrossRef]

Wakunami, K.

Waters, J. P.

J. P. Waters, “Holographic image synthesis utilizing theoretical methods,” Appl. Phys. Lett.9(11), 405–406 (1966).
[CrossRef]

Wilkinson, T. D.

Xie, J.

H. Zhang, N. Collings, J. Chen, B. Crossland, D. Chu, and J. Xie, “Full parallax three-dimensional display with occlusion effect using computer generated hologram,” Opt. Eng.50(7), 074003 (2011).
[CrossRef]

Yamaguchi, M.

K. Wakunami and M. Yamaguchi, “Calculation for computer generated hologram using ray-sampling plane,” Opt. Express19(10), 9086–9101 (2011).

M. Yamaguchi, H. Hoshino, T. Honda, and N. Ohyama, “Phase-added stereogram: calculation of hologram using computer graphics technique,” Proc. SPIE1914, 25–33 (1993).

Yatagai, T.

Yoshikawa, H.

H. Yoshikawa and H. Kameyama, “Integral Holography,” Proc. SPIE2406, 226 (1995).

Zhang, H.

H. Zhang, N. Collings, J. Chen, B. Crossland, D. Chu, and J. Xie, “Full parallax three-dimensional display with occlusion effect using computer generated hologram,” Opt. Eng.50(7), 074003 (2011).
[CrossRef]

Appl. Opt.

Appl. Phys. Lett.

J. P. Waters, “Holographic image synthesis utilizing theoretical methods,” Appl. Phys. Lett.9(11), 405–406 (1966).
[CrossRef]

J. Opt. Soc. Am. A

J. T. McCrickerd, “Comparison of Stereograms: Pinhole, Fly’s Eye, and Holographic Types,” J. Opt. Soc. Am. A62(1), 64–70 (1972).
[CrossRef]

L. E. Helseth, “Optical transfer function of three-dimensional display systems,” J. Opt. Soc. Am. A23(4), 816–820 (2006).
[CrossRef] [PubMed]

Opt. Eng.

H. Zhang, N. Collings, J. Chen, B. Crossland, D. Chu, and J. Xie, “Full parallax three-dimensional display with occlusion effect using computer generated hologram,” Opt. Eng.50(7), 074003 (2011).
[CrossRef]

Opt. Express

Proc. SPIE

J. S. Underkoffler, “Occlusion processing and smooth surface shading for fully computed synthetic holography,” Proc. SPIE3011, 19–30 (1997).
[CrossRef]

M. Lucente, “Optimization of Hologram Computation for Real-Time Display,” Proc. SPIE1667, 32–43 (1992).
[CrossRef]

K. Matsushima, “Exact hidden-surface removal in digitally synthetic full-parallax holograms,” Proc. SPIE5742, 25–32 (2005).
[CrossRef]

H. Yoshikawa and H. Kameyama, “Integral Holography,” Proc. SPIE2406, 226 (1995).

M. Yamaguchi, H. Hoshino, T. Honda, and N. Ohyama, “Phase-added stereogram: calculation of hologram using computer graphics technique,” Proc. SPIE1914, 25–33 (1993).

Other

H. Kang, F. Yaras, and L. Onural, “Quality comparison and acceleration for digital hologram generation method based on segmentation,” in Proceedings of the 3DTV-Conference 2009, pp.1–4 (2009).

Q. Y. J. Smithwick, J. Baradas, D. E. Smalley, and V. M. Bove., “Real-time shader rendering of holographic stereograms,” Proc. SPIE Practical holography XXIII, v. 7233 (2009).

K. Yamamoto, T. Senoh, R. Oi, and T. Kurita, “8K4K-size computer generated hologram for 3-D visual system using rendering technology,” in Proceedings of IEEE Conference on Universal Communication Symposium (Institute of Computing Technology, Beijing, 2010), pp. 193–196.
[CrossRef]

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

Supplementary Material (2)

» Media 1: MOV (19378 KB)     
» Media 2: MOV (7450 KB)     

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Figures (7)

Fig. 1
Fig. 1

The forward and backward conversion between R and W on the RS plane.

Fig. 2
Fig. 2

A scheme of occlusion process using RS plane.

Fig. 3
Fig. 3

CGH calculation flow with proposed occlusion processing based on the conversion between the light-ray information and the wavefront on the RS plane.

Fig. 4
Fig. 4

3D scene with simple interrupting object.

Fig. 5
Fig. 5

The reconstructed images by numerical simulation with variable focusing distances and observation angles. (a): ray-based method, (b): Geometrical mask, (c): orthographic silhouette mask, (d): Proposed method.

Fig. 6
Fig. 6

The reconstructed images by proposed method and conventional method (Media 1).

Fig. 7
Fig. 7

The reconstructed images by optical reconstruction with varying observing angles (Media 2).

Tables (2)

Tables Icon

Table 1 The parameters of RS planes and CGH plane for the numerical simulation

Tables Icon

Table 2 The parameters of RS planes and CGH plane for the optical reconstruction

Equations (2)

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R={ p 00 , p 10 ,, p ( I1 )( J1 ) }
W[ k,l ]= P ij [ k( x i Δp + K 2 ),l( y j Δp + L 2 ) ]

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