Abstract

A rigorous explanation of a phenomenon that produces significant distortions in the three-dimensional images produced by integral imaging systems is provided. The phenomenon, which we refer to as the facet-braiding effect, has been recognized in some previous publications, but to our knowledge its nature has never been analyzed. We propose a technique for attenuating the facet-braiding effect. We have conducted experiments to illustrate the consequences of the facet-braiding effect on three-dimensional integral images, and we show the usefulness of the proposed technique in eliminating this effect.

© 2007 Optical Society of America

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References

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  1. T. Okoshi, Proc. IEEE 68, 548 (1980).
    [CrossRef]
  2. F. Okano, Proc. IEEE 94, 490 (2006).
    [CrossRef]
  3. M. G. Lippmann, J. Phys. (Paris) 7, 821 (1908).
  4. F. Okano, H. Hoshino, J. Arai, and I. Yayuma, Appl. Opt. 36, 1598 (1997).
    [CrossRef] [PubMed]
  5. A. Stern and B. Javidi, Proc. IEEE 94, 591 (2006).
    [CrossRef]
  6. A. Stern and B. Javidi, Appl. Opt. 42, 7036 (2003).
    [CrossRef] [PubMed]
  7. S. Manolache, A. Aggoun, M. McCormick, and N. Davies, J. Opt. Soc. Am. A 18, 1814 (2001).
    [CrossRef]
  8. J.-S. Jang and B. Javidi, Opt. Lett. 27, 324 (2002).
    [CrossRef]
  9. R. Martínez-Cuenca, G. Saavedra, M. Martínez-Corral, and B. Javidi, Opt. Express 12, 5237 (2004).
    [CrossRef] [PubMed]
  10. B. Lee, S.-W. Min, and B. Javidi, Appl. Opt. 41, 4856 (2002).
    [CrossRef] [PubMed]
  11. N. Davies, M. McCormick, and L. Yang, Appl. Opt. 27, 4520 (1988).
    [CrossRef] [PubMed]
  12. M. Martínez-Corral, B. Javidi, R. Martínez-Cuenca, and G. Saavedra, Opt. Express 13, 9175 (2005).
    [CrossRef] [PubMed]
  13. R. Martínez-Cuenca, A. Pons, G. Saavedra, M. Martínez-Corral, and B. Javidi, Opt. Express 14, 9657 (2006).
    [CrossRef] [PubMed]
  14. Y. Frauel, O. Matoba, E. Tajahuerce, and B. Javidi, Appl. Opt. 43, 452 (2004).
    [CrossRef] [PubMed]
  15. O. Matoba and B. Javidi, Opt. Lett. 29, 2375 (2004).
    [CrossRef] [PubMed]
  16. Y. Kim, J.-H. Park, H. Choi, J. Kim, S.-W. Cho, and B. Lee, Appl. Opt. 45, 4334 (2006).
    [CrossRef] [PubMed]
  17. T. Naemura, T. Yoshida, and H. Harashima, Opt. Express 8, 255 (2001).
    [CrossRef] [PubMed]
  18. M. Martínez-Corral, B. Javidi, R. Martínez-Cuenca, and G. Saavedra, J. Opt. Soc. Am. A 22, 597 (2005).
    [CrossRef]
  19. C.-C. Cheng, C. Alex Chang, and J. A. Yeh, Opt. Express 14, 4101 (2006).
    [CrossRef] [PubMed]
  20. L. Dong, A. K. Agarwal, D. J. Beebe, and H. Jiang, Nature 442/3, 551 (2006).
    [CrossRef]

2006 (6)

2005 (2)

2004 (3)

2003 (1)

2002 (2)

2001 (2)

1997 (1)

1988 (1)

1980 (1)

T. Okoshi, Proc. IEEE 68, 548 (1980).
[CrossRef]

1908 (1)

M. G. Lippmann, J. Phys. (Paris) 7, 821 (1908).

Agarwal, A. K.

L. Dong, A. K. Agarwal, D. J. Beebe, and H. Jiang, Nature 442/3, 551 (2006).
[CrossRef]

Aggoun, A.

Alex Chang, C.

Arai, J.

Beebe, D. J.

L. Dong, A. K. Agarwal, D. J. Beebe, and H. Jiang, Nature 442/3, 551 (2006).
[CrossRef]

Cheng, C.-C.

Cho, S.-W.

Choi, H.

Davies, N.

Dong, L.

L. Dong, A. K. Agarwal, D. J. Beebe, and H. Jiang, Nature 442/3, 551 (2006).
[CrossRef]

Frauel, Y.

Harashima, H.

Hoshino, H.

Jang, J.-S.

Javidi, B.

Jiang, H.

L. Dong, A. K. Agarwal, D. J. Beebe, and H. Jiang, Nature 442/3, 551 (2006).
[CrossRef]

Kim, J.

Kim, Y.

Lee, B.

Lippmann, M. G.

M. G. Lippmann, J. Phys. (Paris) 7, 821 (1908).

Manolache, S.

Martínez-Corral, M.

Martínez-Cuenca, R.

Matoba, O.

McCormick, M.

Min, S.-W.

Naemura, T.

Okano, F.

Okoshi, T.

T. Okoshi, Proc. IEEE 68, 548 (1980).
[CrossRef]

Park, J.-H.

Pons, A.

Saavedra, G.

Stern, A.

Tajahuerce, E.

Yang, L.

Yayuma, I.

Yeh, J. A.

Yoshida, T.

Appl. Opt. (6)

J. Opt. Soc. Am. A (2)

J. Phys. (Paris) (1)

M. G. Lippmann, J. Phys. (Paris) 7, 821 (1908).

Nature (1)

L. Dong, A. K. Agarwal, D. J. Beebe, and H. Jiang, Nature 442/3, 551 (2006).
[CrossRef]

Opt. Express (5)

Opt. Lett. (2)

Proc. IEEE (3)

A. Stern and B. Javidi, Proc. IEEE 94, 591 (2006).
[CrossRef]

T. Okoshi, Proc. IEEE 68, 548 (1980).
[CrossRef]

F. Okano, Proc. IEEE 94, 490 (2006).
[CrossRef]

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Figures (5)

Fig. 1
Fig. 1

Schematic of the pickup stage of an InI system: elemental images of (a) an in-focus object and (b) out-of-focus scenes.

Fig. 2
Fig. 2

Display stage of an InI system. (a) Reconstructed images and the lenslet images coincide in position and size. (b) Images reconstructed between the MLA and the reference plane suffer inverse displacement. (c) Images further from the reference plane suffer direct displacement.

Fig. 3
Fig. 3

Structure of the observed reconstructed image, (a) Objects at the reference plane are seen with continuous relief. (b) Out-of-focus scenes are observed with cracked relief.

Fig. 4
Fig. 4

Three elements of the same row of the elemental-image collection.

Fig. 5
Fig. 5

Views of the reconstructed 3D scene. (a) The reference plane was set, as in the pickup, at d = 35 mm . (b) The reference plane for reconstruction was set at d = 52 mm .

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