Abstract

Two quantitative criteria are derived to evaluate monocular cues in holographic stereograms. We find that the reconstruction has correct monocular cues when the whole scene is located in a so-called “monocular cues area” with compatible monocular and binocular cues. In contrast, incorrect monocular cues appear when the scene is in the other two areas, namely, the “visible multi-imaging area” and the “lacking information area.” A pupil-function integral imaging algorithm is developed to simulate monocular observation, and a holographic printing system is set up to fabricate full-parallax holographic stereograms. Both simulations and experiments agree with the criteria.

© 2010 Optical Society of America

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References

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2010 (2)

Q. Y. J. Smithwick, J. Barabas, D. E. Smalley, and V. M. Bove, Proc. SPIE 7619, 761903 (2010).
[CrossRef]

Y. Z. Liu, J. W. Dong, Y. Y. Pu, B. C. Chen, H. X. He, and H. Z. Wang, Opt. Express 18, 3345 (2010).
[CrossRef] [PubMed]

2008 (5)

2007 (1)

K. Sato, S. Koizumi, K. Chou, and K. Takano, Proc. SPIE 6488, 64880V (2007).
[CrossRef]

2006 (1)

1994 (1)

B. Winn, D. Whitaker, D. B. Elliott, and N. J. Phillips, Invest. Ophthalmol. Visual Sci. 35, 1132 (1994).

1993 (1)

M. Yamaguchi, H. Hoshino, T. Honda, and N. Ohyama, Proc. SPIE 1914, 25 (1993).
[CrossRef]

1967 (1)

R. V. Pole, Appl. Phys. Lett. 10, 20 (1967).
[CrossRef]

1966 (1)

1908 (1)

G. Lippmann, Comptes Rendus 146, 446 (1908).

Akeley, K.

D. M. Hoffman, A. R. Girshick, K. Akeley, and M. S. Banks, J. Vis. 8, 33 (2008).
[CrossRef] [PubMed]

Banks, M. S.

D. M. Hoffman, A. R. Girshick, K. Akeley, and M. S. Banks, J. Vis. 8, 33 (2008).
[CrossRef] [PubMed]

Barabas, J.

Q. Y. J. Smithwick, J. Barabas, D. E. Smalley, and V. M. Bove, Proc. SPIE 7619, 761903 (2010).
[CrossRef]

Benton, S. A.

S. A. Benton and V. M. Bove, Holographic Imaging (Wiley, 2008), Chap. 20.
[CrossRef]

Bove, V. M.

Q. Y. J. Smithwick, J. Barabas, D. E. Smalley, and V. M. Bove, Proc. SPIE 7619, 761903 (2010).
[CrossRef]

S. A. Benton and V. M. Bove, Holographic Imaging (Wiley, 2008), Chap. 20.
[CrossRef]

Bruce, V.

V. Bruce, P. R. Green, and M. A. Georgeson, Visual Perception: Physiology, Psychology, and Ecology (Psychology Press, 2003), Chap. 7.

Chen, B. C.

Cho, M.

Chou, K.

K. Sato, S. Koizumi, K. Chou, and K. Takano, Proc. SPIE 6488, 64880V (2007).
[CrossRef]

Conry, M.

Dong, J. W.

Elliott, D. B.

B. Winn, D. Whitaker, D. B. Elliott, and N. J. Phillips, Invest. Ophthalmol. Visual Sci. 35, 1132 (1994).

Georgeson, M. A.

V. Bruce, P. R. Green, and M. A. Georgeson, Visual Perception: Physiology, Psychology, and Ecology (Psychology Press, 2003), Chap. 7.

Girshick, A. R.

D. M. Hoffman, A. R. Girshick, K. Akeley, and M. S. Banks, J. Vis. 8, 33 (2008).
[CrossRef] [PubMed]

Green, P. R.

V. Bruce, P. R. Green, and M. A. Georgeson, Visual Perception: Physiology, Psychology, and Ecology (Psychology Press, 2003), Chap. 7.

Gu, C. H.

Halle, M. W.

M. W. Halle, “Multiple viewpoint rendering for 3-dimensional displays,” Ph.D. dissertation (Massachusetts Institute of Technology, 1997).

He, H. X.

Hoffman, D. M.

D. M. Hoffman, A. R. Girshick, K. Akeley, and M. S. Banks, J. Vis. 8, 33 (2008).
[CrossRef] [PubMed]

Honda, T.

M. Yamaguchi, H. Hoshino, T. Honda, and N. Ohyama, Proc. SPIE 1914, 25 (1993).
[CrossRef]

Hoshino, H.

M. Yamaguchi, H. Hoshino, T. Honda, and N. Ohyama, Proc. SPIE 1914, 25 (1993).
[CrossRef]

Javidi, B.

Kang, H.

Kim, D. W.

Kim, S. K.

Koizumi, S.

K. Sato, S. Koizumi, K. Chou, and K. Takano, Proc. SPIE 6488, 64880V (2007).
[CrossRef]

Kwon, Y. M.

Lippmann, G.

G. Lippmann, Comptes Rendus 146, 446 (1908).

Liu, Y. Z.

Moon, I.

Ohyama, N.

M. Yamaguchi, H. Hoshino, T. Honda, and N. Ohyama, Proc. SPIE 1914, 25 (1993).
[CrossRef]

Patel, A. S.

Phillips, N. J.

B. Winn, D. Whitaker, D. B. Elliott, and N. J. Phillips, Invest. Ophthalmol. Visual Sci. 35, 1132 (1994).

Pole, R. V.

R. V. Pole, Appl. Phys. Lett. 10, 20 (1967).
[CrossRef]

Pu, Y. Y.

Sato, K.

K. Sato, S. Koizumi, K. Chou, and K. Takano, Proc. SPIE 6488, 64880V (2007).
[CrossRef]

Smalley, D. E.

Q. Y. J. Smithwick, J. Barabas, D. E. Smalley, and V. M. Bove, Proc. SPIE 7619, 761903 (2010).
[CrossRef]

Smithwick, Q. Y. J.

Q. Y. J. Smithwick, J. Barabas, D. E. Smalley, and V. M. Bove, Proc. SPIE 7619, 761903 (2010).
[CrossRef]

Son, J. Y.

Takano, K.

K. Sato, S. Koizumi, K. Chou, and K. Takano, Proc. SPIE 6488, 64880V (2007).
[CrossRef]

Wang, F.

Wang, H. Z.

Whitaker, D.

B. Winn, D. Whitaker, D. B. Elliott, and N. J. Phillips, Invest. Ophthalmol. Visual Sci. 35, 1132 (1994).

Winn, B.

B. Winn, D. Whitaker, D. B. Elliott, and N. J. Phillips, Invest. Ophthalmol. Visual Sci. 35, 1132 (1994).

Wu, J. G.

Yamaguchi, M.

M. Yamaguchi, H. Hoshino, T. Honda, and N. Ohyama, Proc. SPIE 1914, 25 (1993).
[CrossRef]

Yamaguchi, T.

Yang, C. H.

Yaqoob, Z.

Yoshikawa, H.

Appl. Opt. (1)

Appl. Phys. Lett. (1)

R. V. Pole, Appl. Phys. Lett. 10, 20 (1967).
[CrossRef]

Comptes Rendus (1)

G. Lippmann, Comptes Rendus 146, 446 (1908).

Invest. Ophthalmol. Visual Sci. (1)

B. Winn, D. Whitaker, D. B. Elliott, and N. J. Phillips, Invest. Ophthalmol. Visual Sci. 35, 1132 (1994).

J. Opt. Soc. Am. (1)

J. Vis. (1)

D. M. Hoffman, A. R. Girshick, K. Akeley, and M. S. Banks, J. Vis. 8, 33 (2008).
[CrossRef] [PubMed]

Opt. Express (3)

Opt. Lett. (2)

Proc. SPIE (3)

K. Sato, S. Koizumi, K. Chou, and K. Takano, Proc. SPIE 6488, 64880V (2007).
[CrossRef]

M. Yamaguchi, H. Hoshino, T. Honda, and N. Ohyama, Proc. SPIE 1914, 25 (1993).
[CrossRef]

Q. Y. J. Smithwick, J. Barabas, D. E. Smalley, and V. M. Bove, Proc. SPIE 7619, 761903 (2010).
[CrossRef]

Other (3)

V. Bruce, P. R. Green, and M. A. Georgeson, Visual Perception: Physiology, Psychology, and Ecology (Psychology Press, 2003), Chap. 7.

M. W. Halle, “Multiple viewpoint rendering for 3-dimensional displays,” Ph.D. dissertation (Massachusetts Institute of Technology, 1997).

S. A. Benton and V. M. Bove, Holographic Imaging (Wiley, 2008), Chap. 20.
[CrossRef]

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Figures (4)

Fig. 1
Fig. 1

Images on retina when the eye focuses on different distances through (a) a hologram and (b) an HS. (c) Schematic diagram for the derivation of Eqs. (2, 3).

Fig. 2
Fig. 2

MC (light blue), LI (black), and VMI (white) areas when (a) d H = 500 mm and (b) d H = 230 mm . Here, h = 0.5 mm . The light-blue square c, green bar d, and the light-red bar e correspond to the 3D scenes in Figs. 3b, 3d, 3e.

Fig. 3
Fig. 3

(a) Schematic diagram of the pupil- function integral imaging algorithm. (b)–(e) are four simulated images on the retina. (b) and (c) show correct MC effects when the king or the bishop is in focus, respectively. (d) shows the VMI effect, while (e) shows the LI effect.

Fig. 4
Fig. 4

(a) Experimental setup of the HS printing system. Optical reconstruction images when the eye focuses on (b) the king and (c) the bishop. The parameters of the 3D scene and the HS are the same as those in Fig. 3b.

Equations (5)

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

θ = 2 arctan γ | z P z F | h 2 z F .
z P γ / 2 1 γ / 2 + tan 0.75 < z F < z P γ / 2 + 1 γ / 2 tan 0.75 .
t = z P γ + h d pup .
P i j ( x , y , z F ) = { 1 , ( x x o i ) 2 + ( y y o j ) 2 < a 0 , otherwise .
I ( x , y , z F ) = 1 N s ( x , y , z F ) i = 1 N x j = 1 N y M [ E i j ( x , y ) ] P i j ( x , y , z F ) ,

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