Abstract

Recent developments in computer algorithms, image sensors, and microfabrication technologies make it possible to digitize the whole process of classical holography. This technique, referred to as digitized holography, allows us to create fine spatial three-dimensional (3D) images composed of virtual and real objects. In the technique, the wave field of real objects is captured in a wide area and at very high resolution using the technique of synthetic aperture digital holography. The captured field is incorporated in virtual 3D scenes including two-dimensional digital images and 3D polygon mesh objects. The synthetic field is optically reconstructed using the technique of computer-generated holograms. The reconstructed 3D images present all depth cues like classical holograms but are digitally editable, archivable, and transmittable unlike classical holograms. The synthetic hologram printed by a laser lithography system has a wide viewing zone in full-parallax and give viewers a strong sensation of depth, which has never been achieved by conventional 3D systems. A real hologram as well as the details of the technique is presented to verify the proposed technique.

© 2011 Optical Society of America

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References

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  1. J. W. Goodman and R. W. Lawrence, “Digital image formation from electronically detected holograms,” Appl. Phys. Lett. 11, 77–79 (1967).
    [CrossRef]
  2. A. W. Lohmann and D. P. Paris, “Binary fraunhofer holograms, generated by computer,” Appl. Opt. 6, 1739–1748 (1967).
    [CrossRef]
  3. K. Matsushima, “Computer-generated holograms for three-dimensional surface objects with shade and texture,” Appl. Opt. 44, 4607–4614 (2005).
    [CrossRef]
  4. K. Matsushima and S. Nakahara, “Extremely high-definition full-parallax computer-generated hologram created by the polygon-based method,” Appl. Opt. 48, H54–H63 (2009).
    [CrossRef]
  5. K. Matsushima and S. Nakahara, “High-definition full-parallax CGHs created by using the polygon-based method and the shifted angular spectrum method,” Proc. SPIE 7619, 761913 (2010).
  6. K. Matsushima, M. Nakamura, and S. Nakahara, “Novel techniques introduced into polygon-based high-definition CGHs,” in Topical Meeting on Digital Holography and Three-Dimensional Imaging (Optical Society of America, 2010), paper JMA10.
  7. K. Matsusima, M. Nakamura, I. Kanaya, and S. Nakahara, “Computational holography: Real 3D by fast wave-field rendering in ultra-high resolution,” in Proceedings of SIGGRAPH Posters’ 2010 (2010).
  8. K. Matsushima, “Wave-field rendering in computational holography,” in 2010 IEEE/ACIS 9th International Conference on Computer and Information Science (2010), pp. 846–851.
  9. H. Nishi, K. Higashi, Y. Arima, K. Matsushima, and S. Nakahara, “New techniques for wave-field rendering of polygon-based high-definition CGHs,” Proc. SPIE 7957, 79571A (2011).
  10. K. Matsushima, H. Nishi, and S. Nakahara are preparing a manuscript to be called “Simple wave-field rendering for photorealistic reconstruction in polygon-based high-definition computer holography,”
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    [CrossRef]
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  18. K. Matsushima and A. Kondoh, “A wave optical algorithm for hidden-surface removal in digitally synthetic full-parallax holograms for three-dimensional objects,” Proc. SPIE 5290, 90–97 (2004).
  19. A. Kondoh and K. Matsushima, “Hidden surface removal in full-parallax CGHs by silhouette approximation,” Syst. Comput. Jpn. 38, 53–61 (2007).
    [CrossRef]
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2011 (1)

H. Nishi, K. Higashi, Y. Arima, K. Matsushima, and S. Nakahara, “New techniques for wave-field rendering of polygon-based high-definition CGHs,” Proc. SPIE 7957, 79571A (2011).

2010 (2)

K. Matsushima and S. Nakahara, “High-definition full-parallax CGHs created by using the polygon-based method and the shifted angular spectrum method,” Proc. SPIE 7619, 761913 (2010).

K. Matsushima, “Shifted angular spectrum method for off-axis numerical propagation,” Opt. Express 18, 18453–18463 (2010).
[CrossRef]

2009 (3)

2008 (1)

2007 (1)

A. Kondoh and K. Matsushima, “Hidden surface removal in full-parallax CGHs by silhouette approximation,” Syst. Comput. Jpn. 38, 53–61 (2007).
[CrossRef]

2005 (1)

2004 (1)

K. Matsushima and A. Kondoh, “A wave optical algorithm for hidden-surface removal in digitally synthetic full-parallax holograms for three-dimensional objects,” Proc. SPIE 5290, 90–97 (2004).

2002 (1)

1999 (1)

1997 (1)

1992 (1)

N. Hashimoto, K. Hoshino, and S. Morokawa, “Improved real-time holography system with LCDs,” Proc. SPIE 1667, 2–7 (1992).

1967 (2)

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 and D. P. Paris, “Binary fraunhofer holograms, generated by computer,” Appl. Opt. 6, 1739–1748 (1967).
[CrossRef]

Arima, Y.

H. Nishi, K. Higashi, Y. Arima, K. Matsushima, and S. Nakahara, “New techniques for wave-field rendering of polygon-based high-definition CGHs,” Proc. SPIE 7957, 79571A (2011).

Binet, R.

Colineau, J.

Goodman, J. W.

J. W. Goodman and R. W. Lawrence, “Digital image formation from electronically detected holograms,” Appl. Phys. Lett. 11, 77–79 (1967).
[CrossRef]

Hashimoto, N.

N. Hashimoto, K. Hoshino, and S. Morokawa, “Improved real-time holography system with LCDs,” Proc. SPIE 1667, 2–7 (1992).

Higashi, K.

H. Nishi, K. Higashi, Y. Arima, K. Matsushima, and S. Nakahara, “New techniques for wave-field rendering of polygon-based high-definition CGHs,” Proc. SPIE 7957, 79571A (2011).

Hoshino, K.

N. Hashimoto, K. Hoshino, and S. Morokawa, “Improved real-time holography system with LCDs,” Proc. SPIE 1667, 2–7 (1992).

Kanaya, I.

K. Matsusima, M. Nakamura, I. Kanaya, and S. Nakahara, “Computational holography: Real 3D by fast wave-field rendering in ultra-high resolution,” in Proceedings of SIGGRAPH Posters’ 2010 (2010).

Katz, B.

Kawai, H.

Kondoh, A.

A. Kondoh and K. Matsushima, “Hidden surface removal in full-parallax CGHs by silhouette approximation,” Syst. Comput. Jpn. 38, 53–61 (2007).
[CrossRef]

K. Matsushima and A. Kondoh, “A wave optical algorithm for hidden-surface removal in digitally synthetic full-parallax holograms for three-dimensional objects,” Proc. SPIE 5290, 90–97 (2004).

Lawrence, R. W.

J. W. Goodman and R. W. Lawrence, “Digital image formation from electronically detected holograms,” Appl. Phys. Lett. 11, 77–79 (1967).
[CrossRef]

Lehureau, J.-C.

Lohmann, A. W.

Matsushima, K.

H. Nishi, K. Higashi, Y. Arima, K. Matsushima, and S. Nakahara, “New techniques for wave-field rendering of polygon-based high-definition CGHs,” Proc. SPIE 7957, 79571A (2011).

K. Matsushima, “Shifted angular spectrum method for off-axis numerical propagation,” Opt. Express 18, 18453–18463 (2010).
[CrossRef]

K. Matsushima and S. Nakahara, “High-definition full-parallax CGHs created by using the polygon-based method and the shifted angular spectrum method,” Proc. SPIE 7619, 761913 (2010).

K. Matsushima and S. Nakahara, “Extremely high-definition full-parallax computer-generated hologram created by the polygon-based method,” Appl. Opt. 48, H54–H63 (2009).
[CrossRef]

K. Matsushima and T. Shimobaba, “Band-limited angular spectrum method for numerical simulation of free-space propagation in far and near fields,” Opt. Express 17, 19662–19673 (2009).
[CrossRef]

T. Nakatsuji and K. Matsushima, “Free-viewpoint images captured using phase-shifting synthetic aperture digital holography,” Appl. Opt. 47, D136–D143 (2008).
[CrossRef]

A. Kondoh and K. Matsushima, “Hidden surface removal in full-parallax CGHs by silhouette approximation,” Syst. Comput. Jpn. 38, 53–61 (2007).
[CrossRef]

K. Matsushima, “Computer-generated holograms for three-dimensional surface objects with shade and texture,” Appl. Opt. 44, 4607–4614 (2005).
[CrossRef]

K. Matsushima and A. Kondoh, “A wave optical algorithm for hidden-surface removal in digitally synthetic full-parallax holograms for three-dimensional objects,” Proc. SPIE 5290, 90–97 (2004).

K. Matsushima, H. Nishi, and S. Nakahara are preparing a manuscript to be called “Simple wave-field rendering for photorealistic reconstruction in polygon-based high-definition computer holography,”

K. Matsushima, M. Nakamura, and S. Nakahara, “Novel techniques introduced into polygon-based high-definition CGHs,” in Topical Meeting on Digital Holography and Three-Dimensional Imaging (Optical Society of America, 2010), paper JMA10.

K. Matsushima, “Wave-field rendering in computational holography,” in 2010 IEEE/ACIS 9th International Conference on Computer and Information Science (2010), pp. 846–851.

Matsusima, K.

K. Matsusima, M. Nakamura, I. Kanaya, and S. Nakahara, “Computational holography: Real 3D by fast wave-field rendering in ultra-high resolution,” in Proceedings of SIGGRAPH Posters’ 2010 (2010).

Morokawa, S.

N. Hashimoto, K. Hoshino, and S. Morokawa, “Improved real-time holography system with LCDs,” Proc. SPIE 1667, 2–7 (1992).

Nakahara, S.

H. Nishi, K. Higashi, Y. Arima, K. Matsushima, and S. Nakahara, “New techniques for wave-field rendering of polygon-based high-definition CGHs,” Proc. SPIE 7957, 79571A (2011).

K. Matsushima and S. Nakahara, “High-definition full-parallax CGHs created by using the polygon-based method and the shifted angular spectrum method,” Proc. SPIE 7619, 761913 (2010).

K. Matsushima and S. Nakahara, “Extremely high-definition full-parallax computer-generated hologram created by the polygon-based method,” Appl. Opt. 48, H54–H63 (2009).
[CrossRef]

K. Matsushima, M. Nakamura, and S. Nakahara, “Novel techniques introduced into polygon-based high-definition CGHs,” in Topical Meeting on Digital Holography and Three-Dimensional Imaging (Optical Society of America, 2010), paper JMA10.

K. Matsusima, M. Nakamura, I. Kanaya, and S. Nakahara, “Computational holography: Real 3D by fast wave-field rendering in ultra-high resolution,” in Proceedings of SIGGRAPH Posters’ 2010 (2010).

K. Matsushima, H. Nishi, and S. Nakahara are preparing a manuscript to be called “Simple wave-field rendering for photorealistic reconstruction in polygon-based high-definition computer holography,”

Nakamura, M.

K. Matsusima, M. Nakamura, I. Kanaya, and S. Nakahara, “Computational holography: Real 3D by fast wave-field rendering in ultra-high resolution,” in Proceedings of SIGGRAPH Posters’ 2010 (2010).

K. Matsushima, M. Nakamura, and S. Nakahara, “Novel techniques introduced into polygon-based high-definition CGHs,” in Topical Meeting on Digital Holography and Three-Dimensional Imaging (Optical Society of America, 2010), paper JMA10.

Nakatsuji, T.

Nishi, H.

H. Nishi, K. Higashi, Y. Arima, K. Matsushima, and S. Nakahara, “New techniques for wave-field rendering of polygon-based high-definition CGHs,” Proc. SPIE 7957, 79571A (2011).

K. Matsushima, H. Nishi, and S. Nakahara are preparing a manuscript to be called “Simple wave-field rendering for photorealistic reconstruction in polygon-based high-definition computer holography,”

Ohzu, H.

Paris, D. P.

Rosen, J.

Sato, K.

K. Sato, “Record and display of color 3-D images by electronic holography,” in Topical Meeting on Digital Holography and Three-Dimensional Imaging (Optical Society of America, 2007), paper DWA2.

Shaked, N. T.

Shimobaba, T.

Takaki, Y.

Yamaguchi, I.

Zhang, T.

Appl. Opt. (7)

Appl. Phys. Lett. (1)

J. W. Goodman and R. W. Lawrence, “Digital image formation from electronically detected holograms,” Appl. Phys. Lett. 11, 77–79 (1967).
[CrossRef]

Opt. Express (2)

Opt. Lett. (1)

Proc. SPIE (4)

K. Matsushima and A. Kondoh, “A wave optical algorithm for hidden-surface removal in digitally synthetic full-parallax holograms for three-dimensional objects,” Proc. SPIE 5290, 90–97 (2004).

K. Matsushima and S. Nakahara, “High-definition full-parallax CGHs created by using the polygon-based method and the shifted angular spectrum method,” Proc. SPIE 7619, 761913 (2010).

H. Nishi, K. Higashi, Y. Arima, K. Matsushima, and S. Nakahara, “New techniques for wave-field rendering of polygon-based high-definition CGHs,” Proc. SPIE 7957, 79571A (2011).

N. Hashimoto, K. Hoshino, and S. Morokawa, “Improved real-time holography system with LCDs,” Proc. SPIE 1667, 2–7 (1992).

Syst. Comput. Jpn. (1)

A. Kondoh and K. Matsushima, “Hidden surface removal in full-parallax CGHs by silhouette approximation,” Syst. Comput. Jpn. 38, 53–61 (2007).
[CrossRef]

Other (6)

J. W. Goodman, Introduction to Fourier Optics, 2nd ed. (McGraw-Hill, 1996), chap. 3.10.

K. Sato, “Record and display of color 3-D images by electronic holography,” in Topical Meeting on Digital Holography and Three-Dimensional Imaging (Optical Society of America, 2007), paper DWA2.

K. Matsushima, H. Nishi, and S. Nakahara are preparing a manuscript to be called “Simple wave-field rendering for photorealistic reconstruction in polygon-based high-definition computer holography,”

K. Matsushima, M. Nakamura, and S. Nakahara, “Novel techniques introduced into polygon-based high-definition CGHs,” in Topical Meeting on Digital Holography and Three-Dimensional Imaging (Optical Society of America, 2010), paper JMA10.

K. Matsusima, M. Nakamura, I. Kanaya, and S. Nakahara, “Computational holography: Real 3D by fast wave-field rendering in ultra-high resolution,” in Proceedings of SIGGRAPH Posters’ 2010 (2010).

K. Matsushima, “Wave-field rendering in computational holography,” in 2010 IEEE/ACIS 9th International Conference on Computer and Information Science (2010), pp. 846–851.

Supplementary Material (2)

» Media 1: MOV (716 KB)     
» Media 2: MOV (636 KB)     

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Figures (13)

Fig. 1.
Fig. 1.

Schematic illustration of computer holography.

Fig. 2.
Fig. 2.

Coordinate system and geometry of lensless-Fourier digital holography.

Fig. 3.
Fig. 3.

Capture of large-scale wave fields using the synthetic aperture technique.

Fig. 4.
Fig. 4.

Experimental setup for capturing a large wave field by synthetic aperture DH. M: mirror, BS: beam splitter, RP: retarder plate, SF: spatial filter.

Fig. 5.
Fig. 5.

Amplitude images of the captured (a) and Fourier-transformed fields (b).

Fig. 6.
Fig. 6.

The coordinate system and geometry used to design the 3D scene and compute the whole wave field of the scene.

Fig. 7.
Fig. 7.

The principle of the silhouette method for real captured fields. The background field is propagated to the position Zn, where the captured object is arranged as the designer intended.

Fig. 8.
Fig. 8.

Extraction of a silhouette mask from the captured field. The amplitude image (b) is obtained from a small part of the captured field (a). The silhouette mask (c) obtained from the amplitude image (b).

Fig. 9.
Fig. 9.

Mixed 3D scene of “Bear II”. The scene includes the fields of the real object and the CG-modeled virtual objects.

Fig. 10.
Fig. 10.

Photograph of the optical reconstruction of Bear II using reflected illumination of an ordinary red LED (Media 1).

Fig. 11.
Fig. 11.

Photographs of the optical reconstruction of Bear II using transmitted illumination of a He-Ne laser (Media 2). Photographs (a)–(c) are taken from different viewpoints.

Fig. 12.
Fig. 12.

Occlusion errors occurring in the case of off-axis viewpoints.

Fig. 13.
Fig. 13.

Origin of the occlusion error in the cases where the field plane is not placed at the maximum cross section of the object.

Tables (2)

Tables Icon

Table 1. Parameters Used to Capture the Large-Scale Wave Field

Tables Icon

Table 2. Summary of parameters used to create Bear II

Equations (2)

Equations on this page are rendered with MathJax. Learn more.

Δx=λdRNxδx,Δy=λdRNyδy,
u(X,Y,Zn+1)=PZn+1Zn{u(X,Y,Zn)Mn(XXn,YYn)+on(XXn,YYn)},

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