Abstract

A novel full-color autostereoscopic three-dimensional (3D) display system has been developed using color-dispersion-compensated (CDC) synthetic phase holograms (SPHs) on a phase-type spatial light modulator. To design the CDC phase holograms, we used a modified iterative Fourier transform algorithm with scaling constants and phase quantization level constraints. We obtained a high diffraction efficiency (~90.04%), a large signal-to-noise ratio (~9.57dB), and a low reconstruction error (~0.0011) from our simulation results. Each optimized phase hologram was synthesized with each CDC directional hologram for red, green, and blue wavelengths for full-color autostereoscopic 3D display. The CDC SPHs were composed and modulated by only one phase-type spatial light modulator. We have demonstrated experimentally that the designed CDC SPHs are able to generate full-color autostereoscopic 3D images and video frames very well, without any use of glasses.

© 2004 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |

  1. Y. Kim, J.-H. Park, H. Choi, S. Jung, S.-W. Min, and B. Lee, �??Viewing-angle-enhanced integral imaging system using a curved lens array,�?? Opt. Express 12, 421-429 (2004), <a href="http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-3-421">http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-3-421</a>.
    [CrossRef] [PubMed]
  2. B. Lee, S.-W. Min, and B. Javidi, �??Theoretical analysis for three-dimensional integral imaging systems with double devices,�?? Appl. Opt. 41, 4856-4865 (2002).
    [CrossRef] [PubMed]
  3. P. S. Hilaire, S. A. Benton, and M. Lucente, �??Synthetic aperture holography: a novel approach to three dimensional displays,�?? J. Opt. Soc. Am. A 9, 1969-1977 (1992).
    [CrossRef]
  4. M. Lucente and T. A. Galyean, �??Rendering interactive holographic images,�?? in Computer Graphics and Interactive Techniques, S. G. Mair, eds., Proc. SIGGRAPH 95, 387-394 (1995).
  5. J. H. Kulick, G. P. Nordin, A. Parker, S. T. Kowel, R. G. Lindquist, M. Jones, and P. Nasiatka, �??Partial pixels: a three-dimensional diffractive display architecture,�?? J. Opt. Soc. Am. A 12, 73-83 (1995).
    [CrossRef]
  6. J. Yan, S. T. Kowel, H, J. Cho, and C. H. Ahn, �??Real-time full-color three-dimensional display with a micromirror array,�?? Opt. Lett. 26, 1075-1077 (2001).
    [CrossRef]
  7. K. Choi, H. Kim, and B. Lee, "Synthetic phase holograms for autostereoscopic image displays using a modified IFTA," Opt. Express 12, 2454-2462 (2004), <a href="http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-11-2454">http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-11-2454</a>.
    [CrossRef] [PubMed]
  8. H. H. Suh, "Color-image generation by use of binary-phase holograms," Opt. Lett. 24, 661-663 (1999).
    [CrossRef]
  9. U. Levy, E. Marom, and D. Mendlovic, "Simultaneous multicolor image formation with a single diffractive optical element," Opt. Lett. 26, 1149-1151 (2001).
    [CrossRef]
  10. K. Choi, B. Choi, Y. Choi, S. Kim, J. Kim, N. Kim, and S. Gil, "Multiphase computer-generated holograms for full-color image generation," in Practical Holography XVI and Holographic Materials VIII, S. A. Benton, S. H. Stevenson, and T. J. Trout, eds., Proc. SPIE 4659, 242-249 (2002).
    [CrossRef]
  11. S. Fukushima, T. Kurokawa, and M. Ohno, �??Real-time hologram construction and reconstruction using a high-resolution spatial light modulator,�?? Appl. Phys. Lett. 58, 787-789 (1991).
    [CrossRef]
  12. J. W. Goodman, Introduction to Fourier Optics, 2nd ed., (McGraw-Hill, New York, 1996).
  13. A. W. Lohmann and D. P. Paris, "Computer generated spatial filters for coherent optical data processing," Appl. Opt. 7, 651-655 (1968).
    [CrossRef] [PubMed]
  14. G. Tricoles, "Computer generated holograms: an historical review," Appl. Opt. 26, 4351-4360 (1987).
    [CrossRef] [PubMed]
  15. N. Mukohzaka, N. Yoshida, H. Toyoda, Y. Kobayashi, and T. Hara, "Diffraction efficiency analysis of a parallel-alighned nematic-liquid-crystal spatial light modulator," Appl. Opt. 33, 2804-2811 (1994).
    [CrossRef] [PubMed]
  16. U. Efraon, S. T. Wu, and T. D. Bates, "Nematic liquid crystals for spatial light modulators: recent studies," J. Opt. Soc. Am. B 3, 247-252 (1986).
    [CrossRef]
  17. J. Gourlay, S. Samus, P. McOwan, D. G. Vass, I. Underwood, and M. Worboys, "Real-time binary phase holograms on a reflective ferroelectric liquid-crystal spatial light modulator," Appl. Opt. 33, 8251-8254 (1994).
    [CrossRef] [PubMed]
  18. R. W. Gerchberg and W. O. Saxton, �??A practical algorithm of the determination of the phase from image and diffraction plane pictures,�?? Optik 35, 237-246 (1972).
  19. F. Wyrowsiki, �??Diffractive optical elements: iterative calculation of quantized, blazed phase structures,�?? J. Opt. Soc. Am. 7, 961-969 (1990).
    [CrossRef]
  20. J. R. Fienup, �??Phase retrieval algorithms: a comparison,�?? Appl. Opt. 21, 2758-2769 (1982).
    [CrossRef] [PubMed]
  21. V. A. Soifer, V. V. Kotlyar, and L. Doskolovich, Iterative Methods for Diffractive Optical Elements Computation (Taylor & Francis Ltd, 1997).
  22. L. Ge, M. Duelli, and R. W. Cohn, �??Enumeration of illumination and scanning modes from real-time spatial light modulators,�?? Opt. Express 7, 403-416 (2000), <a href="http://www.opticsexpress.org/abstract.cfm?URI=OPEX-7-12-403">http://www.opticsexpress.org/abstract.cfm?URI=OPEX-7-12-403</a>.
    [CrossRef] [PubMed]
  23. T. Iwaii and T. Asakura, �??Speckle reduction in coherent information processing,�?? Proc. IEEE 84, 765-781 (1996).
    [CrossRef]
  24. T. Ito and K. Okano, "Color electroholography by three colored reference lights simultaneously incident upon one hologram panel," Opt. Express 12, 4320-4325 (2004) <a href=" http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-18-4320">http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-18-4320</a>.
    [CrossRef] [PubMed]
  25. Web sites: <a href="http://www.stereoscopy.com">http://www.stereoscopy.com</a>, <a href="http://www.stereopia.com">http://www.stereopia.com</a>, and <a href="http://www.starosta.com">http://www.starosta.com</a>.

Appl. Opt. (6)

Appl. Phys. Lett. (1)

S. Fukushima, T. Kurokawa, and M. Ohno, �??Real-time hologram construction and reconstruction using a high-resolution spatial light modulator,�?? Appl. Phys. Lett. 58, 787-789 (1991).
[CrossRef]

J. Opt. Soc. Am. (1)

F. Wyrowsiki, �??Diffractive optical elements: iterative calculation of quantized, blazed phase structures,�?? J. Opt. Soc. Am. 7, 961-969 (1990).
[CrossRef]

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

J. Opt. Soc. Am. B (1)

Opt. Express (4)

Opt. Lett. (3)

Optik (1)

R. W. Gerchberg and W. O. Saxton, �??A practical algorithm of the determination of the phase from image and diffraction plane pictures,�?? Optik 35, 237-246 (1972).

Proc. IEEE (1)

T. Iwaii and T. Asakura, �??Speckle reduction in coherent information processing,�?? Proc. IEEE 84, 765-781 (1996).
[CrossRef]

Proc. SPIE (1)

K. Choi, B. Choi, Y. Choi, S. Kim, J. Kim, N. Kim, and S. Gil, "Multiphase computer-generated holograms for full-color image generation," in Practical Holography XVI and Holographic Materials VIII, S. A. Benton, S. H. Stevenson, and T. J. Trout, eds., Proc. SPIE 4659, 242-249 (2002).
[CrossRef]

SIGGRAPH 95 (1)

M. Lucente and T. A. Galyean, �??Rendering interactive holographic images,�?? in Computer Graphics and Interactive Techniques, S. G. Mair, eds., Proc. SIGGRAPH 95, 387-394 (1995).

Other (3)

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

Web sites: <a href="http://www.stereoscopy.com">http://www.stereoscopy.com</a>, <a href="http://www.stereopia.com">http://www.stereopia.com</a>, and <a href="http://www.starosta.com">http://www.starosta.com</a>.

V. A. Soifer, V. V. Kotlyar, and L. Doskolovich, Iterative Methods for Diffractive Optical Elements Computation (Taylor & Francis Ltd, 1997).

Supplementary Material (3)

» Media 1: AVI (1164 KB)     
» Media 2: AVI (471 KB)     
» Media 3: AVI (1457 KB)     

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (3)

Fig. 1.
Fig. 1.

Schematic diagram of our proposed full-color autostereoscopic 3D display system

Fig. 2.
Fig. 2.

Stereo input images for: (a) a sculpture of Shiller, and (b) a kissing scene. Images (c) and (d) are the designed CDC SPHs corresponding to (a) and (b), respectively. Images (e) and (f) are the corresponding reconstructed stereoscopic images (simulation).

Fig. 3.
Fig. 3.

(a) Experimental setup of our proposed autostereoscopic display system. (b) Reconstructed image. (c) Images of a sculpture of Shiller and a kissing scene, respectively. (d) Video image of the autostereoscopic 3D demo system. (e) Results of simulation video image, and (f) experimental video image. [Media 1] [Media 2] [Media 3]

Equations (5)

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

F ̂ ( x , y ) = 1 j λ z exp ( j 2 π z λ ) W ( ξ , η ) H ( x ξ , y η ) d ξ d η ,
Δϕ = { α ϕ m ( V V 0 1 ) , if ( V V 0 ) V 0 1 ϕ m ( 1 β V ) , if ( V V 0 ) V 0 1
Δ ϕ m i = 2 π d Δ n ( 1 λ 0 1 λ i ) , ( i = R , G , B )
ε 0 = σ F [ | F ̂ ( x , y ) | B 0 ( x , y ) ] 2 d x d y + σ S S [ | F ̂ ( x , y ) | B 0 ( x , y ) ] 2 d x d y
+ σ N N [ | F ̂ ( x , y ) | 2 d x d y + α D S [ ( x F ̂ ) 2 + ( y F ̂ ) 2 ] d x d y

Metrics