Calculation for computer generated hologram using ray-sampling plane |
Optics Express, Vol. 19, Issue 10, pp. 9086-9101 (2011)
http://dx.doi.org/10.1364/OE.19.009086
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Abstract
We introduce a new algorithm for calculating computer generated hologram (CGH) using ray-sampling (RS) plane. RS plane is set at near the object and the light-rays emitted by the object are sampled at the plane. Then the light-rays are transformed into the wavefront with using the Fourier transforms. The wavefront on the CGH plane is calculated by wavefront propagation simulation from RS plane to CGH plane. The proposed method enables to reproduce high resolution image for deep 3D scene with angular reflection properties such as gloss appearance.
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1. Introduction
21. K. Matsushima and S. Nakahara, “Extremely high-definition full-parallax computer-generated hologram created by the polygon-based method,” Appl. Opt. 48(34), H54–H63 (2009). [PubMed]
21. K. Matsushima and S. Nakahara, “Extremely high-definition full-parallax computer-generated hologram created by the polygon-based method,” Appl. Opt. 48(34), H54–H63 (2009). [PubMed]
2. Resolution limit in the image of CGHs based on the light-ray reconstruction
6. T. Yatagai, “Stereoscopic approach to 3-D display using computer-generated holograms,” Appl. Opt. 15(11), 2722–2729 (1976). [PubMed]
16. H. Kang, T. Yamaguchi, and H. Yoshikawa, “Accurate phase-added stereogram to improve the coherent stereogram,” Appl. Opt. 47(19), D44–D54 (2008). [PubMed]
2.1 The influence of light-ray sampling on image resolution
2.2 The influence of diffraction
3. Method for CGH calculation
3.1 Calculation of the projection images on the RS plane
3.2 Conversion the light-ray information into the wavefront
3.3 Wavefront propagation from RS plane to CGH plane
18. R. P. Muffoletto, J. M. Tyler, and J. E. Tohline, “Shifted Fresnel diffraction for computational holography,” Opt. Express 15(9), 5631–5640 (2007). [PubMed]
3.4 Application to the objects at different distance from CGH plane
21. K. Matsushima and S. Nakahara, “Extremely high-definition full-parallax computer-generated hologram created by the polygon-based method,” Appl. Opt. 48(34), H54–H63 (2009). [PubMed]
4. Experiment
4.1 CGH printing system
4.2 Reproduction of deep scene
4.3 Reproduction of 3D objects with glossy surface
5. Discussion
5.1 Discussion on the reconstructed image resolution
5.2 Application of the RS plane defined on the object surface
5.3 Discussion on the calculation cost
5.4 Distance range of objects
6. Summary
References and links
1. | M. Lucente, “Optimization of hologram computation for real-time display,” Proc. SPIE 1667, 32–43 (1992). |
2. | J. P. Waters, “Holographic image synthesis utilizing theoretical methods,” Appl. Phys. Lett. 9(11), 405–406 (1966). |
3. | J. S. Underkoffler, “Occlusion processing and smooth surface shading for fully computed synthetic holography,” Proc. SPIE 3011, 53–60 (1997). |
4. | K. Matsushima, “Exact hidden-surface removal in digitally synthetic full-parallax holograms,” Proc. SPIE 5742, 25–32 (2005). |
5. | K. Yamaguchi and Y. Sakamoto, “Computer generated hologram with characteristics of reflection: reflectance distributions and reflected images,” Appl. Opt. 48(34), H203–H211 (2009). [PubMed] |
6. | T. Yatagai, “Stereoscopic approach to 3-D display using computer-generated holograms,” Appl. Opt. 15(11), 2722–2729 (1976). [PubMed] |
7. | T. Mishina, M. Okui, and F. Okano, “Calculation of holograms from elemental images captured by integral photography,” Appl. Opt. 45(17), 4026–4036 (2006). [PubMed] |
8. | P. W. McOwan, W. J. Hossack, and R. E. Burge, “Three-dimensional stereoscopic display using ray traced computer generated holograms,” Opt. Commun. 82(12), 6–11 (1993). |
9. | H. Yoshikawa and H. Kameyama, “Integral holography,” Proc. SPIE 2406, 226–234 (1995). |
10. | M. Yamaguchi, H. Hoshino, T. Honda, and N. Ohyama, “Phase-added stereogram: calculation of hologram using computer graphics technique,” Proc. SPIE 1914, 25–31 (1993). |
11. | J. T. McCrickerd, “Comparison of stereograms: pinhole, fly’s eye, and holographic types,” J. Opt. Soc. Am. A 62(1), 64–70 (1972). |
12. | L. E. Helseth, “Optical transfer function of three-dimensional display systems,” J. Opt. Soc. Am. A 23(4), 816–820 (2006). |
13. | P. S. Hilaire, “Modulation transfer function and optimum sampling of holographic stereograms,” Appl. Opt. 33(5), 768–774 (1994). [PubMed] |
14. | I. Glaser and A. A. Friesem, “Imaging properties of holographic stereograms,” Proc. SPIE 120, 150–162 (1977). |
15. | M. Yamaguchi, N. Ohyama, and T. Honda, “Imaging characteristics of holographic stereogram,” Jpn. J. Opt. 22(11), 714–720 (1993) (in Japanese). |
16. | H. Kang, T. Yamaguchi, and H. Yoshikawa, “Accurate phase-added stereogram to improve the coherent stereogram,” Appl. Opt. 47(19), D44–D54 (2008). [PubMed] |
17. | W. Plesniak, M. Halle, V. M. Bove Jr, J. Barabas, and R. Pappu, “Reconfigurable image projection holograms,” Opt. Eng. 45(11), 115801 (2006). |
18. | R. P. Muffoletto, J. M. Tyler, and J. E. Tohline, “Shifted Fresnel diffraction for computational holography,” Opt. Express 15(9), 5631–5640 (2007). [PubMed] |
19. | H. Yoshikawa and K. Takei, “Development of a compact direct fringe printer for computer-generated holograms,” Proc. SPIE 5290, 114–121 (2004). |
20. | R. P. Muffoletto, “Numerical techniques for Fresnel diffraction in computational holography,” Ph. D. Thesis (Louisiana State University, 2006). |
21. | K. Matsushima and S. Nakahara, “Extremely high-definition full-parallax computer-generated hologram created by the polygon-based method,” Appl. Opt. 48(34), H54–H63 (2009). [PubMed] |
OCIS Codes
(090.0090) Holography : Holography
(090.1760) Holography : Computer holography
(090.2870) Holography : Holographic display
ToC Category:
Holography
History
Original Manuscript: March 4, 2011
Revised Manuscript: April 11, 2011
Manuscript Accepted: April 17, 2011
Published: April 25, 2011
Citation
Koki Wakunami and Masahiro Yamaguchi, "Calculation for computer generated hologram using ray-sampling plane," Opt. Express 19, 9086-9101 (2011)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-19-10-9086
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References
- M. Lucente, “Optimization of hologram computation for real-time display,” Proc. SPIE 1667, 32–43 (1992).
- J. P. Waters, “Holographic image synthesis utilizing theoretical methods,” Appl. Phys. Lett. 9(11), 405–406 (1966).
- J. S. Underkoffler, “Occlusion processing and smooth surface shading for fully computed synthetic holography,” Proc. SPIE 3011, 53–60 (1997).
- K. Matsushima, “Exact hidden-surface removal in digitally synthetic full-parallax holograms,” Proc. SPIE 5742, 25–32 (2005).
- K. Yamaguchi and Y. Sakamoto, “Computer generated hologram with characteristics of reflection: reflectance distributions and reflected images,” Appl. Opt. 48(34), H203–H211 (2009). [PubMed]
- T. Yatagai, “Stereoscopic approach to 3-D display using computer-generated holograms,” Appl. Opt. 15(11), 2722–2729 (1976). [PubMed]
- T. Mishina, M. Okui, and F. Okano, “Calculation of holograms from elemental images captured by integral photography,” Appl. Opt. 45(17), 4026–4036 (2006). [PubMed]
- P. W. McOwan, W. J. Hossack, and R. E. Burge, “Three-dimensional stereoscopic display using ray traced computer generated holograms,” Opt. Commun. 82(12), 6–11 (1993).
- H. Yoshikawa and H. Kameyama, “Integral holography,” Proc. SPIE 2406, 226–234 (1995).
- M. Yamaguchi, H. Hoshino, T. Honda, and N. Ohyama, “Phase-added stereogram: calculation of hologram using computer graphics technique,” Proc. SPIE 1914, 25–31 (1993).
- J. T. McCrickerd, “Comparison of stereograms: pinhole, fly’s eye, and holographic types,” J. Opt. Soc. Am. A 62(1), 64–70 (1972).
- L. E. Helseth, “Optical transfer function of three-dimensional display systems,” J. Opt. Soc. Am. A 23(4), 816–820 (2006).
- P. S. Hilaire, “Modulation transfer function and optimum sampling of holographic stereograms,” Appl. Opt. 33(5), 768–774 (1994). [PubMed]
- I. Glaser and A. A. Friesem, “Imaging properties of holographic stereograms,” Proc. SPIE 120, 150–162 (1977).
- M. Yamaguchi, N. Ohyama, and T. Honda, “Imaging characteristics of holographic stereogram,” Jpn. J. Opt. 22(11), 714–720 (1993) (in Japanese).
- H. Kang, T. Yamaguchi, and H. Yoshikawa, “Accurate phase-added stereogram to improve the coherent stereogram,” Appl. Opt. 47(19), D44–D54 (2008). [PubMed]
- W. Plesniak, M. Halle, V. M. Bove, J. Barabas, and R. Pappu, “Reconfigurable image projection holograms,” Opt. Eng. 45(11), 115801 (2006).
- R. P. Muffoletto, J. M. Tyler, and J. E. Tohline, “Shifted Fresnel diffraction for computational holography,” Opt. Express 15(9), 5631–5640 (2007). [PubMed]
- H. Yoshikawa and K. Takei, “Development of a compact direct fringe printer for computer-generated holograms,” Proc. SPIE 5290, 114–121 (2004).
- R. P. Muffoletto, “Numerical techniques for Fresnel diffraction in computational holography,” Ph. D. Thesis (Louisiana State University, 2006).
- K. Matsushima and S. Nakahara, “Extremely high-definition full-parallax computer-generated hologram created by the polygon-based method,” Appl. Opt. 48(34), H54–H63 (2009). [PubMed]
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