Abstract

We developed the HORN-6 special-purpose computer for holography. We designed and constructed the HORN-6 board to handle an object image composed of one million points and constructed a cluster system composed of 16 HORN-6 boards. Using this HORN-6 cluster system, we succeeded in creating a computer-generated hologram of a three-dimensional image composed of 1,000,000 points at a rate of 1 frame per second, and a computer-generated hologram of an image composed of 100,000 points at a rate of 10 frames per second, which is near video rate, when the size of a computer-generated hologram is 1,920 × 1,080. The calculation speed is approximately 4,600 times faster than that of a personal computer with an Intel 3.4-GHz Pentium 4 CPU.

© 2009 Optical Society of America

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References

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  1. G. Tricoles, “Computer generated holograms: an historical review,” Appl. Opt. 26, 4351–4360 (1987).
    [Crossref] [PubMed]
  2. P. S. Hilaire, S. A. Benton, M. Lucente, M. L. Jepsen, J. Kollin, H. Yoshikawa, and J. Underkoffler, “Electronic display system for computational holography,” Proc. SPIE 1212–20, 174–182 (1990).
    [Crossref]
  3. N. Hashimoto, S. Morokawa, and K. Kitamura, “Real-time holography using the high-resolution LCTV-SLM,” Proc. SPIE 1461, 291–300 (1992).
    [Crossref]
  4. K. Sato, K. Higuchi, and H. Katsuma, “Holographic television by liquid crystal devices,” Proc. SPIE 1667, 19–31 (1992).
    [Crossref]
  5. M. Lucente and T. A. Galyean, “Rendering interactive holographic images,” Proc. ACM SIGGRAPH 95, 387–394 (1995).
  6. M. Lucente, “Holographic Bandwidth Compression Using Spatial Subsampling,” Opt. Eng. 35, 1529–1537 (1996).
    [Crossref]
  7. M. Lucente, “Computational holographic bandwidth compression,” IBM Syst. J. 35, 349–365 (1996).
    [Crossref]
  8. Takatsune Okada, Shigetake Iwata, Osamu Nishikawa, Kenji Matsumoto, Hiroshi Yoshikawa, Koki Sato, and Toshio Honda, “The fast computation of holograms for the interactive holographic 3D display system,” Proc. SPIE 2577, 33–40 (1995).
    [Crossref]
  9. T. Yabe, T. Ito, and M. Okazaki, “Holography Machine HORN-1 for Computer-Aided Retrieval of Virtual Three-Dimensional Image,” Jpn. J. Appl. Phys. 32, L1359–L1361 (1993).
    [Crossref]
  10. T. Ito, T. Yabe, M. Okazaki, and M. Yanagi, “Special-Purpose Computer HORN-1 for Reconstruction of Virtual Image in Three Dimensions,” Comp. Phys. Commun. 82, 104–110 (1994).
    [Crossref]
  11. T. Ito, H. Eldeib, K. Yoshida, S. Takahashi, T. Yabe, and T. Kunugi, “Special-Purpose Computer for Holography HORN-2,” Comp. Phys. Commun. 93, 13–20 (1996).
    [Crossref]
  12. T. Shimobaba, N. Masuda, T. Sugie, S. Hosono, S. Tsukui, and T. Ito, “Special-purpose computer for holography HORN-3 with PLD technology,” Comp. Phys. Commun. 130, 75–82 (2000).
    [Crossref]
  13. T. Shimobaba, S. Hishinuma, and T. Ito, “Special-Purpose Computer for Holography HORN-4 with recurrence algorithm,” Comp. Phys. Commun. 148, 160–170 (2002).
    [Crossref]
  14. T. Ito, N. Masuda, K. Yoshimura, A. Shiraki, T. Shimobaba, and T. Sugie, “A special-purpose computer HORN-5 for a real-time electroholography,” Opt. Express 13, 1923–1932 (2005), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-13-6-1923.
    [Crossref] [PubMed]
  15. M. Lucente, “Interactive computation of holograms using a look-up table,” J. Electron. Imaging 2, 28–34 (1993).
    [Crossref]
  16. T. Shimobaba and T. Ito, “An efficient computational method suitable for hardware of computer-generated hologram with phase computation by addition,” Comp. Phys. Commun. 138, 44–52 (2001).
    [Crossref]

2005 (1)

2002 (1)

T. Shimobaba, S. Hishinuma, and T. Ito, “Special-Purpose Computer for Holography HORN-4 with recurrence algorithm,” Comp. Phys. Commun. 148, 160–170 (2002).
[Crossref]

2001 (1)

T. Shimobaba and T. Ito, “An efficient computational method suitable for hardware of computer-generated hologram with phase computation by addition,” Comp. Phys. Commun. 138, 44–52 (2001).
[Crossref]

2000 (1)

T. Shimobaba, N. Masuda, T. Sugie, S. Hosono, S. Tsukui, and T. Ito, “Special-purpose computer for holography HORN-3 with PLD technology,” Comp. Phys. Commun. 130, 75–82 (2000).
[Crossref]

1996 (3)

T. Ito, H. Eldeib, K. Yoshida, S. Takahashi, T. Yabe, and T. Kunugi, “Special-Purpose Computer for Holography HORN-2,” Comp. Phys. Commun. 93, 13–20 (1996).
[Crossref]

M. Lucente, “Holographic Bandwidth Compression Using Spatial Subsampling,” Opt. Eng. 35, 1529–1537 (1996).
[Crossref]

M. Lucente, “Computational holographic bandwidth compression,” IBM Syst. J. 35, 349–365 (1996).
[Crossref]

1995 (2)

Takatsune Okada, Shigetake Iwata, Osamu Nishikawa, Kenji Matsumoto, Hiroshi Yoshikawa, Koki Sato, and Toshio Honda, “The fast computation of holograms for the interactive holographic 3D display system,” Proc. SPIE 2577, 33–40 (1995).
[Crossref]

M. Lucente and T. A. Galyean, “Rendering interactive holographic images,” Proc. ACM SIGGRAPH 95, 387–394 (1995).

1994 (1)

T. Ito, T. Yabe, M. Okazaki, and M. Yanagi, “Special-Purpose Computer HORN-1 for Reconstruction of Virtual Image in Three Dimensions,” Comp. Phys. Commun. 82, 104–110 (1994).
[Crossref]

1993 (2)

M. Lucente, “Interactive computation of holograms using a look-up table,” J. Electron. Imaging 2, 28–34 (1993).
[Crossref]

T. Yabe, T. Ito, and M. Okazaki, “Holography Machine HORN-1 for Computer-Aided Retrieval of Virtual Three-Dimensional Image,” Jpn. J. Appl. Phys. 32, L1359–L1361 (1993).
[Crossref]

1992 (2)

N. Hashimoto, S. Morokawa, and K. Kitamura, “Real-time holography using the high-resolution LCTV-SLM,” Proc. SPIE 1461, 291–300 (1992).
[Crossref]

K. Sato, K. Higuchi, and H. Katsuma, “Holographic television by liquid crystal devices,” Proc. SPIE 1667, 19–31 (1992).
[Crossref]

1990 (1)

P. S. Hilaire, S. A. Benton, M. Lucente, M. L. Jepsen, J. Kollin, H. Yoshikawa, and J. Underkoffler, “Electronic display system for computational holography,” Proc. SPIE 1212–20, 174–182 (1990).
[Crossref]

1987 (1)

Benton, S. A.

P. S. Hilaire, S. A. Benton, M. Lucente, M. L. Jepsen, J. Kollin, H. Yoshikawa, and J. Underkoffler, “Electronic display system for computational holography,” Proc. SPIE 1212–20, 174–182 (1990).
[Crossref]

Eldeib, H.

T. Ito, H. Eldeib, K. Yoshida, S. Takahashi, T. Yabe, and T. Kunugi, “Special-Purpose Computer for Holography HORN-2,” Comp. Phys. Commun. 93, 13–20 (1996).
[Crossref]

Galyean, T. A.

M. Lucente and T. A. Galyean, “Rendering interactive holographic images,” Proc. ACM SIGGRAPH 95, 387–394 (1995).

Hashimoto, N.

N. Hashimoto, S. Morokawa, and K. Kitamura, “Real-time holography using the high-resolution LCTV-SLM,” Proc. SPIE 1461, 291–300 (1992).
[Crossref]

Higuchi, K.

K. Sato, K. Higuchi, and H. Katsuma, “Holographic television by liquid crystal devices,” Proc. SPIE 1667, 19–31 (1992).
[Crossref]

Hilaire, P. S.

P. S. Hilaire, S. A. Benton, M. Lucente, M. L. Jepsen, J. Kollin, H. Yoshikawa, and J. Underkoffler, “Electronic display system for computational holography,” Proc. SPIE 1212–20, 174–182 (1990).
[Crossref]

Hishinuma, S.

T. Shimobaba, S. Hishinuma, and T. Ito, “Special-Purpose Computer for Holography HORN-4 with recurrence algorithm,” Comp. Phys. Commun. 148, 160–170 (2002).
[Crossref]

Honda, Toshio

Takatsune Okada, Shigetake Iwata, Osamu Nishikawa, Kenji Matsumoto, Hiroshi Yoshikawa, Koki Sato, and Toshio Honda, “The fast computation of holograms for the interactive holographic 3D display system,” Proc. SPIE 2577, 33–40 (1995).
[Crossref]

Hosono, S.

T. Shimobaba, N. Masuda, T. Sugie, S. Hosono, S. Tsukui, and T. Ito, “Special-purpose computer for holography HORN-3 with PLD technology,” Comp. Phys. Commun. 130, 75–82 (2000).
[Crossref]

Ito, T.

T. Ito, N. Masuda, K. Yoshimura, A. Shiraki, T. Shimobaba, and T. Sugie, “A special-purpose computer HORN-5 for a real-time electroholography,” Opt. Express 13, 1923–1932 (2005), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-13-6-1923.
[Crossref] [PubMed]

T. Shimobaba, S. Hishinuma, and T. Ito, “Special-Purpose Computer for Holography HORN-4 with recurrence algorithm,” Comp. Phys. Commun. 148, 160–170 (2002).
[Crossref]

T. Shimobaba and T. Ito, “An efficient computational method suitable for hardware of computer-generated hologram with phase computation by addition,” Comp. Phys. Commun. 138, 44–52 (2001).
[Crossref]

T. Shimobaba, N. Masuda, T. Sugie, S. Hosono, S. Tsukui, and T. Ito, “Special-purpose computer for holography HORN-3 with PLD technology,” Comp. Phys. Commun. 130, 75–82 (2000).
[Crossref]

T. Ito, H. Eldeib, K. Yoshida, S. Takahashi, T. Yabe, and T. Kunugi, “Special-Purpose Computer for Holography HORN-2,” Comp. Phys. Commun. 93, 13–20 (1996).
[Crossref]

T. Ito, T. Yabe, M. Okazaki, and M. Yanagi, “Special-Purpose Computer HORN-1 for Reconstruction of Virtual Image in Three Dimensions,” Comp. Phys. Commun. 82, 104–110 (1994).
[Crossref]

T. Yabe, T. Ito, and M. Okazaki, “Holography Machine HORN-1 for Computer-Aided Retrieval of Virtual Three-Dimensional Image,” Jpn. J. Appl. Phys. 32, L1359–L1361 (1993).
[Crossref]

Iwata, Shigetake

Takatsune Okada, Shigetake Iwata, Osamu Nishikawa, Kenji Matsumoto, Hiroshi Yoshikawa, Koki Sato, and Toshio Honda, “The fast computation of holograms for the interactive holographic 3D display system,” Proc. SPIE 2577, 33–40 (1995).
[Crossref]

Jepsen, M. L.

P. S. Hilaire, S. A. Benton, M. Lucente, M. L. Jepsen, J. Kollin, H. Yoshikawa, and J. Underkoffler, “Electronic display system for computational holography,” Proc. SPIE 1212–20, 174–182 (1990).
[Crossref]

Katsuma, H.

K. Sato, K. Higuchi, and H. Katsuma, “Holographic television by liquid crystal devices,” Proc. SPIE 1667, 19–31 (1992).
[Crossref]

Kitamura, K.

N. Hashimoto, S. Morokawa, and K. Kitamura, “Real-time holography using the high-resolution LCTV-SLM,” Proc. SPIE 1461, 291–300 (1992).
[Crossref]

Kollin, J.

P. S. Hilaire, S. A. Benton, M. Lucente, M. L. Jepsen, J. Kollin, H. Yoshikawa, and J. Underkoffler, “Electronic display system for computational holography,” Proc. SPIE 1212–20, 174–182 (1990).
[Crossref]

Kunugi, T.

T. Ito, H. Eldeib, K. Yoshida, S. Takahashi, T. Yabe, and T. Kunugi, “Special-Purpose Computer for Holography HORN-2,” Comp. Phys. Commun. 93, 13–20 (1996).
[Crossref]

Lucente, M.

M. Lucente, “Holographic Bandwidth Compression Using Spatial Subsampling,” Opt. Eng. 35, 1529–1537 (1996).
[Crossref]

M. Lucente, “Computational holographic bandwidth compression,” IBM Syst. J. 35, 349–365 (1996).
[Crossref]

M. Lucente and T. A. Galyean, “Rendering interactive holographic images,” Proc. ACM SIGGRAPH 95, 387–394 (1995).

M. Lucente, “Interactive computation of holograms using a look-up table,” J. Electron. Imaging 2, 28–34 (1993).
[Crossref]

P. S. Hilaire, S. A. Benton, M. Lucente, M. L. Jepsen, J. Kollin, H. Yoshikawa, and J. Underkoffler, “Electronic display system for computational holography,” Proc. SPIE 1212–20, 174–182 (1990).
[Crossref]

Masuda, N.

T. Ito, N. Masuda, K. Yoshimura, A. Shiraki, T. Shimobaba, and T. Sugie, “A special-purpose computer HORN-5 for a real-time electroholography,” Opt. Express 13, 1923–1932 (2005), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-13-6-1923.
[Crossref] [PubMed]

T. Shimobaba, N. Masuda, T. Sugie, S. Hosono, S. Tsukui, and T. Ito, “Special-purpose computer for holography HORN-3 with PLD technology,” Comp. Phys. Commun. 130, 75–82 (2000).
[Crossref]

Matsumoto, Kenji

Takatsune Okada, Shigetake Iwata, Osamu Nishikawa, Kenji Matsumoto, Hiroshi Yoshikawa, Koki Sato, and Toshio Honda, “The fast computation of holograms for the interactive holographic 3D display system,” Proc. SPIE 2577, 33–40 (1995).
[Crossref]

Morokawa, S.

N. Hashimoto, S. Morokawa, and K. Kitamura, “Real-time holography using the high-resolution LCTV-SLM,” Proc. SPIE 1461, 291–300 (1992).
[Crossref]

Nishikawa, Osamu

Takatsune Okada, Shigetake Iwata, Osamu Nishikawa, Kenji Matsumoto, Hiroshi Yoshikawa, Koki Sato, and Toshio Honda, “The fast computation of holograms for the interactive holographic 3D display system,” Proc. SPIE 2577, 33–40 (1995).
[Crossref]

Okada, Takatsune

Takatsune Okada, Shigetake Iwata, Osamu Nishikawa, Kenji Matsumoto, Hiroshi Yoshikawa, Koki Sato, and Toshio Honda, “The fast computation of holograms for the interactive holographic 3D display system,” Proc. SPIE 2577, 33–40 (1995).
[Crossref]

Okazaki, M.

T. Ito, T. Yabe, M. Okazaki, and M. Yanagi, “Special-Purpose Computer HORN-1 for Reconstruction of Virtual Image in Three Dimensions,” Comp. Phys. Commun. 82, 104–110 (1994).
[Crossref]

T. Yabe, T. Ito, and M. Okazaki, “Holography Machine HORN-1 for Computer-Aided Retrieval of Virtual Three-Dimensional Image,” Jpn. J. Appl. Phys. 32, L1359–L1361 (1993).
[Crossref]

Sato, K.

K. Sato, K. Higuchi, and H. Katsuma, “Holographic television by liquid crystal devices,” Proc. SPIE 1667, 19–31 (1992).
[Crossref]

Sato, Koki

Takatsune Okada, Shigetake Iwata, Osamu Nishikawa, Kenji Matsumoto, Hiroshi Yoshikawa, Koki Sato, and Toshio Honda, “The fast computation of holograms for the interactive holographic 3D display system,” Proc. SPIE 2577, 33–40 (1995).
[Crossref]

Shimobaba, T.

T. Ito, N. Masuda, K. Yoshimura, A. Shiraki, T. Shimobaba, and T. Sugie, “A special-purpose computer HORN-5 for a real-time electroholography,” Opt. Express 13, 1923–1932 (2005), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-13-6-1923.
[Crossref] [PubMed]

T. Shimobaba, S. Hishinuma, and T. Ito, “Special-Purpose Computer for Holography HORN-4 with recurrence algorithm,” Comp. Phys. Commun. 148, 160–170 (2002).
[Crossref]

T. Shimobaba and T. Ito, “An efficient computational method suitable for hardware of computer-generated hologram with phase computation by addition,” Comp. Phys. Commun. 138, 44–52 (2001).
[Crossref]

T. Shimobaba, N. Masuda, T. Sugie, S. Hosono, S. Tsukui, and T. Ito, “Special-purpose computer for holography HORN-3 with PLD technology,” Comp. Phys. Commun. 130, 75–82 (2000).
[Crossref]

Shiraki, A.

Sugie, T.

T. Ito, N. Masuda, K. Yoshimura, A. Shiraki, T. Shimobaba, and T. Sugie, “A special-purpose computer HORN-5 for a real-time electroholography,” Opt. Express 13, 1923–1932 (2005), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-13-6-1923.
[Crossref] [PubMed]

T. Shimobaba, N. Masuda, T. Sugie, S. Hosono, S. Tsukui, and T. Ito, “Special-purpose computer for holography HORN-3 with PLD technology,” Comp. Phys. Commun. 130, 75–82 (2000).
[Crossref]

Takahashi, S.

T. Ito, H. Eldeib, K. Yoshida, S. Takahashi, T. Yabe, and T. Kunugi, “Special-Purpose Computer for Holography HORN-2,” Comp. Phys. Commun. 93, 13–20 (1996).
[Crossref]

Tricoles, G.

Tsukui, S.

T. Shimobaba, N. Masuda, T. Sugie, S. Hosono, S. Tsukui, and T. Ito, “Special-purpose computer for holography HORN-3 with PLD technology,” Comp. Phys. Commun. 130, 75–82 (2000).
[Crossref]

Underkoffler, J.

P. S. Hilaire, S. A. Benton, M. Lucente, M. L. Jepsen, J. Kollin, H. Yoshikawa, and J. Underkoffler, “Electronic display system for computational holography,” Proc. SPIE 1212–20, 174–182 (1990).
[Crossref]

Yabe, T.

T. Ito, H. Eldeib, K. Yoshida, S. Takahashi, T. Yabe, and T. Kunugi, “Special-Purpose Computer for Holography HORN-2,” Comp. Phys. Commun. 93, 13–20 (1996).
[Crossref]

T. Ito, T. Yabe, M. Okazaki, and M. Yanagi, “Special-Purpose Computer HORN-1 for Reconstruction of Virtual Image in Three Dimensions,” Comp. Phys. Commun. 82, 104–110 (1994).
[Crossref]

T. Yabe, T. Ito, and M. Okazaki, “Holography Machine HORN-1 for Computer-Aided Retrieval of Virtual Three-Dimensional Image,” Jpn. J. Appl. Phys. 32, L1359–L1361 (1993).
[Crossref]

Yanagi, M.

T. Ito, T. Yabe, M. Okazaki, and M. Yanagi, “Special-Purpose Computer HORN-1 for Reconstruction of Virtual Image in Three Dimensions,” Comp. Phys. Commun. 82, 104–110 (1994).
[Crossref]

Yoshida, K.

T. Ito, H. Eldeib, K. Yoshida, S. Takahashi, T. Yabe, and T. Kunugi, “Special-Purpose Computer for Holography HORN-2,” Comp. Phys. Commun. 93, 13–20 (1996).
[Crossref]

Yoshikawa, H.

P. S. Hilaire, S. A. Benton, M. Lucente, M. L. Jepsen, J. Kollin, H. Yoshikawa, and J. Underkoffler, “Electronic display system for computational holography,” Proc. SPIE 1212–20, 174–182 (1990).
[Crossref]

Yoshikawa, Hiroshi

Takatsune Okada, Shigetake Iwata, Osamu Nishikawa, Kenji Matsumoto, Hiroshi Yoshikawa, Koki Sato, and Toshio Honda, “The fast computation of holograms for the interactive holographic 3D display system,” Proc. SPIE 2577, 33–40 (1995).
[Crossref]

Yoshimura, K.

Appl. Opt. (1)

Comp. Phys. Commun. (5)

T. Ito, T. Yabe, M. Okazaki, and M. Yanagi, “Special-Purpose Computer HORN-1 for Reconstruction of Virtual Image in Three Dimensions,” Comp. Phys. Commun. 82, 104–110 (1994).
[Crossref]

T. Ito, H. Eldeib, K. Yoshida, S. Takahashi, T. Yabe, and T. Kunugi, “Special-Purpose Computer for Holography HORN-2,” Comp. Phys. Commun. 93, 13–20 (1996).
[Crossref]

T. Shimobaba, N. Masuda, T. Sugie, S. Hosono, S. Tsukui, and T. Ito, “Special-purpose computer for holography HORN-3 with PLD technology,” Comp. Phys. Commun. 130, 75–82 (2000).
[Crossref]

T. Shimobaba, S. Hishinuma, and T. Ito, “Special-Purpose Computer for Holography HORN-4 with recurrence algorithm,” Comp. Phys. Commun. 148, 160–170 (2002).
[Crossref]

T. Shimobaba and T. Ito, “An efficient computational method suitable for hardware of computer-generated hologram with phase computation by addition,” Comp. Phys. Commun. 138, 44–52 (2001).
[Crossref]

IBM Syst. J. (1)

M. Lucente, “Computational holographic bandwidth compression,” IBM Syst. J. 35, 349–365 (1996).
[Crossref]

J. Electron. Imaging (1)

M. Lucente, “Interactive computation of holograms using a look-up table,” J. Electron. Imaging 2, 28–34 (1993).
[Crossref]

Jpn. J. Appl. Phys. (1)

T. Yabe, T. Ito, and M. Okazaki, “Holography Machine HORN-1 for Computer-Aided Retrieval of Virtual Three-Dimensional Image,” Jpn. J. Appl. Phys. 32, L1359–L1361 (1993).
[Crossref]

Opt. Eng. (1)

M. Lucente, “Holographic Bandwidth Compression Using Spatial Subsampling,” Opt. Eng. 35, 1529–1537 (1996).
[Crossref]

Opt. Express (1)

Proc. ACM SIGGRAPH (1)

M. Lucente and T. A. Galyean, “Rendering interactive holographic images,” Proc. ACM SIGGRAPH 95, 387–394 (1995).

Proc. SPIE (4)

Takatsune Okada, Shigetake Iwata, Osamu Nishikawa, Kenji Matsumoto, Hiroshi Yoshikawa, Koki Sato, and Toshio Honda, “The fast computation of holograms for the interactive holographic 3D display system,” Proc. SPIE 2577, 33–40 (1995).
[Crossref]

P. S. Hilaire, S. A. Benton, M. Lucente, M. L. Jepsen, J. Kollin, H. Yoshikawa, and J. Underkoffler, “Electronic display system for computational holography,” Proc. SPIE 1212–20, 174–182 (1990).
[Crossref]

N. Hashimoto, S. Morokawa, and K. Kitamura, “Real-time holography using the high-resolution LCTV-SLM,” Proc. SPIE 1461, 291–300 (1992).
[Crossref]

K. Sato, K. Higuchi, and H. Katsuma, “Holographic television by liquid crystal devices,” Proc. SPIE 1667, 19–31 (1992).
[Crossref]

Supplementary Material (3)

» Media 1: MPG (1068 KB)     
» Media 2: MPG (1643 KB)     
» Media 3: MPG (1693 KB)     

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Figures (13)

Fig. 1.
Fig. 1.

Optical system for electroholography.

Fig. 2.
Fig. 2.

3-D image reconstructed on the output lens.

Fig. 3.
Fig. 3.

HORN-6 board.

Fig. 4.
Fig. 4.

Block diagram of HORN-6.

Fig. 5.
Fig. 5.

Overview of the HORN-6 cluster system.

Fig. 6.
Fig. 6.

Frame rate using the HORN-6 cluster system.

Fig. 7.
Fig. 7.

(a) Computer graphics image Dinosaur composed of 11,646 points.

(b)
(b)

Reconstructed movie (Media 1)

Fig. 8.
Fig. 8.

(a) Computer graphics image Chess board composed of 44,647 points.

(b)
(b)

Reconstructed movie (Media 2)

Fig. 9.
Fig. 9.

(a) Computer graphics image Merry-go-round composed of 95,949 points.

(b)
(b)

Reconstructed movie (Media 3)

Fig. 10.
Fig. 10.

Fountain composed of 978,416 points.

Tables (2)

Tables Icon

Table 1. Specifications of the personal computers used to construct the cluster system.

Tables Icon

Table 2. Computational performance of the HORN-6 cluster system.

Equations (6)

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

I(xα,yα)=jNAjcos(2πλrαj),
rαj=(xαxj)2+(yαyj)2+zj2,
I(xα,yα)=jNcos(2πΘn,j),
Θn,j=Θn1,j+Δn1,j,Δn,j=Δn1,j+Γj,
Θ0,j=pzj2λ+p2λzj{(xαxj)2+(yαyj)2},
Δ0,j=p2λzj{2(xαxj)21},Γj=pzjλ,

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