Abstract

A computer generation method of elemental image for integral floating display, named as floated image mapping, is proposed. The concept of floated integral imaging system is introduced to overcome the problems coming from the conventional viewpoint of the integral floating display. Both analysis and experimental results which support and verify the functional contributions of the floated image mapping are presented. The expansion of expressible depth range and the reduction of computation time for the real time processing are main contributions of the proposed algorithm.

© 2008 Optical Society of America

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References

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  1. S.-W. Min, M. Hahn, J. Kim, and B. Lee, "Three-dimensional electro-floating display system using an integral imaging method," Opt. Express 13, 4358-4369 (2005).
    [CrossRef]
  2. J. Kim, S.-W. Min, and B. Lee, "Viewing region maximization of an integral floating display through location adjustment of viewing window," Opt. Express 15, 13023-13034 (2007).
    [CrossRef] [PubMed]
  3. G. Lippmann, "La photographie integrale," C. -R. Acad. Sci. 146, 446-451 (1908).
  4. C. B. Burckhardt, "Optimum parameters and resolution limitation of integral photography," J. Opt. Soc. Am. 58, 71-76 (1967).
    [CrossRef]
  5. H. Hoshino, F. Okano, H. Isono, and I. Yuyama, "Analysis of resolution limitation of integral photography," J. Opt. Soc. Am. A 15, 2059-2065 (1998).
    [CrossRef]
  6. H. Liao, T. Dohi, and M. Iwahara, "Improved viewing resolution of integral videography by use of rotated prism sheets," Opt. Express 15, 4814-4822 (2007).
    [CrossRef] [PubMed]
  7. Y. Igarashi, H. Murata, and M. Ueda, "3D display system using a computer generated integral photography," Jpn. J. Appl. Phys. 17, 1683-1684, (1978).
    [CrossRef]
  8. S.-W. Min, S. Jung, J.-H. Park, and B. Lee "Three-dimensional display system based on computer-generated integral photography," Stereoscopic Displays and Virtual Reality Systems VIII, Photonics West, San Jose, CA, USA, Proc. SPIE. 4297, 187-195, Jan. 2001.
    [CrossRef]
  9. S. Nakajima, K. Nakamura, K. Masamune, I. Sakuma, and T. Dohi, "Three-dimensional medical imaging display with computer-generated integral photography," Comput. Med. Image Graph. 25, 235-241 (2001).
    [CrossRef]
  10. D.-H. Shin, E.-S. Kim, and B. Lee, "Computational Reconstruction of Three-Dimensional Objects in Integral Imaging using Lenslet Array," Jpn. J. Appl. Phys. 44, 8016-8018 (2005).
    [CrossRef]
  11. J.-B. Hyun, D.-C. Hwang, D.-H. Shin, and E.-S. Kim, "Curved computational integral imaging reconstruction technique for resolution-enhanced display of three-dimensional object images," Appl. Opt. 46, 7697-7708 (2007).
    [CrossRef] [PubMed]
  12. S.-W. Min, K. S. Park, B. Lee, Y. Cho, and M. Hahn, "Enhanced image mapping algorithm for computer-generated integral imaging system," Jpn. J. Appl. Phys. 45, L744-L747 (2006).
    [CrossRef]
  13. K. S. Park, S.-W. Min, and Y. Cho, "Viewpoint vector rendering for efficient elemental image generation," IEICE Trans. Inf. & Syst.E 90-D, 233-241 (2007).
    [CrossRef]
  14. G. Park, S.-W Cho J. Kim, Y. Kim, H. Choi, J. Hahn, and B. Lee, "Pickup method from OpenGL by reverse projection matrix for real-orthoscopic integral imaging," Digital Holography and Three-Dimensional Imaging, Vancouver, Canada, paper DTuA8, June 2007.

2007

2006

S.-W. Min, K. S. Park, B. Lee, Y. Cho, and M. Hahn, "Enhanced image mapping algorithm for computer-generated integral imaging system," Jpn. J. Appl. Phys. 45, L744-L747 (2006).
[CrossRef]

2005

D.-H. Shin, E.-S. Kim, and B. Lee, "Computational Reconstruction of Three-Dimensional Objects in Integral Imaging using Lenslet Array," Jpn. J. Appl. Phys. 44, 8016-8018 (2005).
[CrossRef]

S.-W. Min, M. Hahn, J. Kim, and B. Lee, "Three-dimensional electro-floating display system using an integral imaging method," Opt. Express 13, 4358-4369 (2005).
[CrossRef]

2001

S.-W. Min, S. Jung, J.-H. Park, and B. Lee "Three-dimensional display system based on computer-generated integral photography," Stereoscopic Displays and Virtual Reality Systems VIII, Photonics West, San Jose, CA, USA, Proc. SPIE. 4297, 187-195, Jan. 2001.
[CrossRef]

S. Nakajima, K. Nakamura, K. Masamune, I. Sakuma, and T. Dohi, "Three-dimensional medical imaging display with computer-generated integral photography," Comput. Med. Image Graph. 25, 235-241 (2001).
[CrossRef]

1998

1978

Y. Igarashi, H. Murata, and M. Ueda, "3D display system using a computer generated integral photography," Jpn. J. Appl. Phys. 17, 1683-1684, (1978).
[CrossRef]

1967

1908

G. Lippmann, "La photographie integrale," C. -R. Acad. Sci. 146, 446-451 (1908).

Burckhardt, C. B.

Cho, Y.

K. S. Park, S.-W. Min, and Y. Cho, "Viewpoint vector rendering for efficient elemental image generation," IEICE Trans. Inf. & Syst.E 90-D, 233-241 (2007).
[CrossRef]

S.-W. Min, K. S. Park, B. Lee, Y. Cho, and M. Hahn, "Enhanced image mapping algorithm for computer-generated integral imaging system," Jpn. J. Appl. Phys. 45, L744-L747 (2006).
[CrossRef]

Dohi, T.

H. Liao, T. Dohi, and M. Iwahara, "Improved viewing resolution of integral videography by use of rotated prism sheets," Opt. Express 15, 4814-4822 (2007).
[CrossRef] [PubMed]

S. Nakajima, K. Nakamura, K. Masamune, I. Sakuma, and T. Dohi, "Three-dimensional medical imaging display with computer-generated integral photography," Comput. Med. Image Graph. 25, 235-241 (2001).
[CrossRef]

Hahn, M.

S.-W. Min, K. S. Park, B. Lee, Y. Cho, and M. Hahn, "Enhanced image mapping algorithm for computer-generated integral imaging system," Jpn. J. Appl. Phys. 45, L744-L747 (2006).
[CrossRef]

S.-W. Min, M. Hahn, J. Kim, and B. Lee, "Three-dimensional electro-floating display system using an integral imaging method," Opt. Express 13, 4358-4369 (2005).
[CrossRef]

Hoshino, H.

Hwang, D.-C.

Hyun, J.-B.

Igarashi, Y.

Y. Igarashi, H. Murata, and M. Ueda, "3D display system using a computer generated integral photography," Jpn. J. Appl. Phys. 17, 1683-1684, (1978).
[CrossRef]

Isono, H.

Iwahara, M.

Jung, S.

S.-W. Min, S. Jung, J.-H. Park, and B. Lee "Three-dimensional display system based on computer-generated integral photography," Stereoscopic Displays and Virtual Reality Systems VIII, Photonics West, San Jose, CA, USA, Proc. SPIE. 4297, 187-195, Jan. 2001.
[CrossRef]

Kim, E.-S.

J.-B. Hyun, D.-C. Hwang, D.-H. Shin, and E.-S. Kim, "Curved computational integral imaging reconstruction technique for resolution-enhanced display of three-dimensional object images," Appl. Opt. 46, 7697-7708 (2007).
[CrossRef] [PubMed]

D.-H. Shin, E.-S. Kim, and B. Lee, "Computational Reconstruction of Three-Dimensional Objects in Integral Imaging using Lenslet Array," Jpn. J. Appl. Phys. 44, 8016-8018 (2005).
[CrossRef]

Kim, J.

Lee, B.

J. Kim, S.-W. Min, and B. Lee, "Viewing region maximization of an integral floating display through location adjustment of viewing window," Opt. Express 15, 13023-13034 (2007).
[CrossRef] [PubMed]

S.-W. Min, K. S. Park, B. Lee, Y. Cho, and M. Hahn, "Enhanced image mapping algorithm for computer-generated integral imaging system," Jpn. J. Appl. Phys. 45, L744-L747 (2006).
[CrossRef]

D.-H. Shin, E.-S. Kim, and B. Lee, "Computational Reconstruction of Three-Dimensional Objects in Integral Imaging using Lenslet Array," Jpn. J. Appl. Phys. 44, 8016-8018 (2005).
[CrossRef]

S.-W. Min, M. Hahn, J. Kim, and B. Lee, "Three-dimensional electro-floating display system using an integral imaging method," Opt. Express 13, 4358-4369 (2005).
[CrossRef]

S.-W. Min, S. Jung, J.-H. Park, and B. Lee "Three-dimensional display system based on computer-generated integral photography," Stereoscopic Displays and Virtual Reality Systems VIII, Photonics West, San Jose, CA, USA, Proc. SPIE. 4297, 187-195, Jan. 2001.
[CrossRef]

Liao, H.

Lippmann, G.

G. Lippmann, "La photographie integrale," C. -R. Acad. Sci. 146, 446-451 (1908).

Masamune, K.

S. Nakajima, K. Nakamura, K. Masamune, I. Sakuma, and T. Dohi, "Three-dimensional medical imaging display with computer-generated integral photography," Comput. Med. Image Graph. 25, 235-241 (2001).
[CrossRef]

Min, S.-W.

K. S. Park, S.-W. Min, and Y. Cho, "Viewpoint vector rendering for efficient elemental image generation," IEICE Trans. Inf. & Syst.E 90-D, 233-241 (2007).
[CrossRef]

J. Kim, S.-W. Min, and B. Lee, "Viewing region maximization of an integral floating display through location adjustment of viewing window," Opt. Express 15, 13023-13034 (2007).
[CrossRef] [PubMed]

S.-W. Min, K. S. Park, B. Lee, Y. Cho, and M. Hahn, "Enhanced image mapping algorithm for computer-generated integral imaging system," Jpn. J. Appl. Phys. 45, L744-L747 (2006).
[CrossRef]

S.-W. Min, M. Hahn, J. Kim, and B. Lee, "Three-dimensional electro-floating display system using an integral imaging method," Opt. Express 13, 4358-4369 (2005).
[CrossRef]

S.-W. Min, S. Jung, J.-H. Park, and B. Lee "Three-dimensional display system based on computer-generated integral photography," Stereoscopic Displays and Virtual Reality Systems VIII, Photonics West, San Jose, CA, USA, Proc. SPIE. 4297, 187-195, Jan. 2001.
[CrossRef]

Murata, H.

Y. Igarashi, H. Murata, and M. Ueda, "3D display system using a computer generated integral photography," Jpn. J. Appl. Phys. 17, 1683-1684, (1978).
[CrossRef]

Nakajima, S.

S. Nakajima, K. Nakamura, K. Masamune, I. Sakuma, and T. Dohi, "Three-dimensional medical imaging display with computer-generated integral photography," Comput. Med. Image Graph. 25, 235-241 (2001).
[CrossRef]

Nakamura, K.

S. Nakajima, K. Nakamura, K. Masamune, I. Sakuma, and T. Dohi, "Three-dimensional medical imaging display with computer-generated integral photography," Comput. Med. Image Graph. 25, 235-241 (2001).
[CrossRef]

Okano, F.

Park, J.-H.

S.-W. Min, S. Jung, J.-H. Park, and B. Lee "Three-dimensional display system based on computer-generated integral photography," Stereoscopic Displays and Virtual Reality Systems VIII, Photonics West, San Jose, CA, USA, Proc. SPIE. 4297, 187-195, Jan. 2001.
[CrossRef]

Park, K. S.

K. S. Park, S.-W. Min, and Y. Cho, "Viewpoint vector rendering for efficient elemental image generation," IEICE Trans. Inf. & Syst.E 90-D, 233-241 (2007).
[CrossRef]

S.-W. Min, K. S. Park, B. Lee, Y. Cho, and M. Hahn, "Enhanced image mapping algorithm for computer-generated integral imaging system," Jpn. J. Appl. Phys. 45, L744-L747 (2006).
[CrossRef]

Sakuma, I.

S. Nakajima, K. Nakamura, K. Masamune, I. Sakuma, and T. Dohi, "Three-dimensional medical imaging display with computer-generated integral photography," Comput. Med. Image Graph. 25, 235-241 (2001).
[CrossRef]

Shin, D.-H.

J.-B. Hyun, D.-C. Hwang, D.-H. Shin, and E.-S. Kim, "Curved computational integral imaging reconstruction technique for resolution-enhanced display of three-dimensional object images," Appl. Opt. 46, 7697-7708 (2007).
[CrossRef] [PubMed]

D.-H. Shin, E.-S. Kim, and B. Lee, "Computational Reconstruction of Three-Dimensional Objects in Integral Imaging using Lenslet Array," Jpn. J. Appl. Phys. 44, 8016-8018 (2005).
[CrossRef]

Ueda, M.

Y. Igarashi, H. Murata, and M. Ueda, "3D display system using a computer generated integral photography," Jpn. J. Appl. Phys. 17, 1683-1684, (1978).
[CrossRef]

Yuyama, I.

Acad. Sci.

G. Lippmann, "La photographie integrale," C. -R. Acad. Sci. 146, 446-451 (1908).

Appl. Opt.

Comput. Med. Image Graph.

S. Nakajima, K. Nakamura, K. Masamune, I. Sakuma, and T. Dohi, "Three-dimensional medical imaging display with computer-generated integral photography," Comput. Med. Image Graph. 25, 235-241 (2001).
[CrossRef]

E

K. S. Park, S.-W. Min, and Y. Cho, "Viewpoint vector rendering for efficient elemental image generation," IEICE Trans. Inf. & Syst.E 90-D, 233-241 (2007).
[CrossRef]

J. Opt. Soc. Am.

J. Opt. Soc. Am. A

Jpn. J. Appl. Phys.

D.-H. Shin, E.-S. Kim, and B. Lee, "Computational Reconstruction of Three-Dimensional Objects in Integral Imaging using Lenslet Array," Jpn. J. Appl. Phys. 44, 8016-8018 (2005).
[CrossRef]

S.-W. Min, K. S. Park, B. Lee, Y. Cho, and M. Hahn, "Enhanced image mapping algorithm for computer-generated integral imaging system," Jpn. J. Appl. Phys. 45, L744-L747 (2006).
[CrossRef]

Y. Igarashi, H. Murata, and M. Ueda, "3D display system using a computer generated integral photography," Jpn. J. Appl. Phys. 17, 1683-1684, (1978).
[CrossRef]

Opt. Express

Proc. SPIE.

S.-W. Min, S. Jung, J.-H. Park, and B. Lee "Three-dimensional display system based on computer-generated integral photography," Stereoscopic Displays and Virtual Reality Systems VIII, Photonics West, San Jose, CA, USA, Proc. SPIE. 4297, 187-195, Jan. 2001.
[CrossRef]

Other

G. Park, S.-W Cho J. Kim, Y. Kim, H. Choi, J. Hahn, and B. Lee, "Pickup method from OpenGL by reverse projection matrix for real-orthoscopic integral imaging," Digital Holography and Three-Dimensional Imaging, Vancouver, Canada, paper DTuA8, June 2007.

Supplementary Material (1)

» Media 1: GIF (825 KB)     

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Figures (10)

Fig. 1.
Fig. 1.

Concept of integral floating display.

Fig. 2.
Fig. 2.

Occlusion relation is reversed when displaying floating image in the retro-floating range.

Fig. 3.
Fig. 3.

Source image for a floating image located across focal plane is not continuous.

Fig. 4.
Fig. 4.

Central depth plane and lens array are imaged to become floating plane and floated lens array by the floating device.

Fig. 5.
Fig. 5.

Flow charts of algorithms in two cases are compared.

Fig. 6.
Fig. 6.

Illustration of the experimental setup which includes reversion of occlusion relation.

Fig. 7.
Fig. 7.

Experimental setup and results.

Fig. 8.
Fig. 8.

Animation which verifies correct integration (824KB).[Media 1]

Fig. 9.
Fig. 9.

Fish are integrated exactly at their desired locations.

Fig. 10.
Fig. 10.

Experimental results for verification of correct disparity and occlusion cues.

Equations (1)

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d df = d di f f d di f f , φ pf = φ pi f f d di f f .

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