Extremely high-definition full-parallax computer-generated hologram created by the polygon-based method
Applied Optics, Vol. 48, Issue 34, pp. H54-H63 (2009)
http://dx.doi.org/10.1364/AO.48.000H54
Acrobat PDF (1128 KB)
Abstract
A large-scale full-parallax computer-generated hologram (CGH) with four billion (
© 2009 Optical Society of America
1. Introduction
1. M. Lucente, “Interactive computation of holograms using a look-up table,” J. Electron. Imaging 2, 28–34 (1993). [CrossRef]
2. A. Ritter, J. Böttger, O. Deussen, M. König, and T. Strothotte, “Hardware-based rendering of full-parallax synthetic holograms,” Appl. Opt. 38, 1364–1369 (1999). [CrossRef]
3. K. Matsushima and M. Takai, “Recurrence formulas for fast creation of synthetic three-dimensional holograms,” Appl. Opt. 39, 6587–6594 (2000). [CrossRef]
5. T. Ito, N. Masuda, K. Yoshimura, A. Shiraki, T. Shimobaba, and T. Sugie, “Special-purpose computer HORN-5 for a real-time electroholography,” Opt. Express 13, 1923–1932 (2005). [CrossRef]
6. N. Masuda, T. Ito, T. Tanaka, A. Shiraki, and T. Sugie, “Computer generated holography using a graphicsprocessing unit,” Opt. Express 14, 603–608 (2006). [CrossRef]
7. T. Shimobaba, A. Shiraki, Y. Ichihashi, N. Masuda, and T. Ito, “Interactive color electroholography using the FPGA technology and time division switching method,” IEICE Electron. Express 5, 271–277 (2008). [CrossRef]
8. K. Matsushima, “Computer-generated holograms for three- dimensional surface objects with shade and texture,” Appl. Opt. 44, 4607–4614 (2005). [CrossRef]
9. L. Ahrenberg, P. Benzie, M. Magnor, and J. Watson, “Computer generated holograms from three dimensional meshes using an analytic light transport model,” Appl. Opt. 47, 1567–1574 (2008). [CrossRef]
10. H. Kim, J. Hahn, and B. Lee, “Mathematical modeling of triangle-mesh-modeled three-dimensional surface objects for digital holography,” Appl. Opt. 47, D117–D127 (2008). [CrossRef]
12. A. Kondoh and K. Matsushima, “Hidden surface removal in full-parallax CGHs by silhouette approximation,” Syst. Comput. Jpn. 38(6), 53–61 (2007). [CrossRef]
14. R. P. Muffoletto, J. M. Tyler, and J. E. Tohline, “Shifted Fresnel diffraction for computational holography,” Opt. Express 15, 5631–5640 (2007). [CrossRef]
2. 3D Scene and 3D Object
3. Polygon-Based Method for Computing 3D Objects
15. K. Matsushima, H. Schimmel, and F. Wyrowski, “Fast calculation method for optical diffraction on tilted planes by use of the angular spectrum of plane waves,” J. Opt. Soc. Am. A 20, 1755–1762 (2003). [CrossRef]
16. K. Matsushima, “Formulation of the rotational transformation of wave fields and their application to digital holography,” Appl. Opt. 47, D110–D116 (2008). [CrossRef]
8. K. Matsushima, “Computer-generated holograms for three- dimensional surface objects with shade and texture,” Appl. Opt. 44, 4607–4614 (2005). [CrossRef]
3A. Local Coordinate System and Rotation Matrix
3B. Surface Functions
8. K. Matsushima, “Computer-generated holograms for three- dimensional surface objects with shade and texture,” Appl. Opt. 44, 4607–4614 (2005). [CrossRef]
17. R. Bräuer, F. Wyrowski, and O. Bryngdahl, “Diffusers in digital holography,” J. Opt. Soc. Am. A 8, 572–578 (1991). [CrossRef]
3C. Rotational Transformation and Spectrum Remapping
16. K. Matsushima, “Formulation of the rotational transformation of wave fields and their application to digital holography,” Appl. Opt. 47, D110–D116 (2008). [CrossRef]
8. K. Matsushima, “Computer-generated holograms for three- dimensional surface objects with shade and texture,” Appl. Opt. 44, 4607–4614 (2005). [CrossRef]
16. K. Matsushima, “Formulation of the rotational transformation of wave fields and their application to digital holography,” Appl. Opt. 47, D110–D116 (2008). [CrossRef]
4. Segmentalized Computation of Object Fields by the Polygon-Based Method
4A. Segmented Frame Buffers
4B. Computation of Object Field by Using the Segmented Frame Buffer
4C. Estimation of Maximum Diffraction Area of a Polygon
4D. Numerical Propagation by Using Segmented Frame Buffers
14. R. P. Muffoletto, J. M. Tyler, and J. E. Tohline, “Shifted Fresnel diffraction for computational holography,” Opt. Express 15, 5631–5640 (2007). [CrossRef]
5. Light-Shielding by Silhouette Method
5A. Generation of Wallpaper Field
5B. Silhouette Masking
6. Creation of “The Venus”
6A. Producing Fringe Pattern
6B. Optical Reconstruction
7. Discussion
7A. Total Computation Time and the Bottleneck
19. D. H. Bailey and P. N. Swarztrauber, “The fractional Fourier transform and applications,” SIAM Rev. 33, 389–404 (1991). [CrossRef]
7B. Computation Time of Object Fields
7C. Limitations of Silhouette Masking in the Venus CGH
12. A. Kondoh and K. Matsushima, “Hidden surface removal in full-parallax CGHs by silhouette approximation,” Syst. Comput. Jpn. 38(6), 53–61 (2007). [CrossRef]
8. Conclusion
1. | M. Lucente, “Interactive computation of holograms using a look-up table,” J. Electron. Imaging 2, 28–34 (1993). [CrossRef] |
2. | A. Ritter, J. Böttger, O. Deussen, M. König, and T. Strothotte, “Hardware-based rendering of full-parallax synthetic holograms,” Appl. Opt. 38, 1364–1369 (1999). [CrossRef] |
3. | K. Matsushima and M. Takai, “Recurrence formulas for fast creation of synthetic three-dimensional holograms,” Appl. Opt. 39, 6587–6594 (2000). [CrossRef] |
4. | H. Yoshikawa, S. Iwase, and T. Oneda, “Fast computation of Fresnel holograms employing difference,” Proc. SPIE 3956, 48–55 (2000). |
5. | T. Ito, N. Masuda, K. Yoshimura, A. Shiraki, T. Shimobaba, and T. Sugie, “Special-purpose computer HORN-5 for a real-time electroholography,” Opt. Express 13, 1923–1932 (2005). [CrossRef] |
6. | N. Masuda, T. Ito, T. Tanaka, A. Shiraki, and T. Sugie, “Computer generated holography using a graphicsprocessing unit,” Opt. Express 14, 603–608 (2006). [CrossRef] |
7. | T. Shimobaba, A. Shiraki, Y. Ichihashi, N. Masuda, and T. Ito, “Interactive color electroholography using the FPGA technology and time division switching method,” IEICE Electron. Express 5, 271–277 (2008). [CrossRef] |
8. | K. Matsushima, “Computer-generated holograms for three- dimensional surface objects with shade and texture,” Appl. Opt. 44, 4607–4614 (2005). [CrossRef] |
9. | L. Ahrenberg, P. Benzie, M. Magnor, and J. Watson, “Computer generated holograms from three dimensional meshes using an analytic light transport model,” Appl. Opt. 47, 1567–1574 (2008). [CrossRef] |
10. | H. Kim, J. Hahn, and B. Lee, “Mathematical modeling of triangle-mesh-modeled three-dimensional surface objects for digital holography,” Appl. Opt. 47, D117–D127 (2008). [CrossRef] |
11. | K. Matsushima and A. Kondoh, “A wave optical algorithm for hidden-surface removal in digitally synthetic full-parallax holograms for three-dimensional objects,” Proc. SPIEProc. 5290, 90–97 (2004). |
12. | A. Kondoh and K. Matsushima, “Hidden surface removal in full-parallax CGHs by silhouette approximation,” Syst. Comput. Jpn. 38(6), 53–61 (2007). [CrossRef] |
13. | K. Matsushima, “Exact hidden-surface removal in digitally synthetic full-parallax holograms,” Proc. SPIE 5742, 25–32 (2005). |
14. | R. P. Muffoletto, J. M. Tyler, and J. E. Tohline, “Shifted Fresnel diffraction for computational holography,” Opt. Express 15, 5631–5640 (2007). [CrossRef] |
15. | K. Matsushima, H. Schimmel, and F. Wyrowski, “Fast calculation method for optical diffraction on tilted planes by use of the angular spectrum of plane waves,” J. Opt. Soc. Am. A 20, 1755–1762 (2003). [CrossRef] |
16. | K. Matsushima, “Formulation of the rotational transformation of wave fields and their application to digital holography,” Appl. Opt. 47, D110–D116 (2008). [CrossRef] |
17. | R. Bräuer, F. Wyrowski, and O. Bryngdahl, “Diffusers in digital holography,” J. Opt. Soc. Am. A 8, 572–578 (1991). [CrossRef] |
18. | J. W. Goodman, Introduction to Fourier Optics, 2nd ed. (McGraw-Hill, 1996), chap. 3.10. |
19. | D. H. Bailey and P. N. Swarztrauber, “The fractional Fourier transform and applications,” SIAM Rev. 33, 389–404 (1991). [CrossRef] |
OCIS Codes
(090.1760) Holography : Computer holography
(090.2870) Holography : Holographic display
ToC Category:
Computer-Generated Holography
History
Original Manuscript: July 1, 2009
Revised Manuscript: August 24, 2009
Manuscript Accepted: September 14, 2009
Published: October 1, 2009
Citation
Kyoji Matsushima and Sumio Nakahara, "Extremely high-definition full-parallax computer-generated hologram created by the polygon-based method," Appl. Opt. 48, H54-H63 (2009)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-48-34-H54
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References
- M. Lucente, “Interactive computation of holograms using a look-up table,” J. Electron. Imaging 2, 28-34 (1993). [CrossRef]
- A. Ritter, J. Böttger, O. Deussen, M. König, and T. Strothotte, “Hardware-based rendering of full-parallax synthetic holograms,” Appl. Opt. 38, 1364-1369 (1999). [CrossRef]
- K. Matsushima and M. Takai, “Recurrence formulas for fast creation of synthetic three-dimensional holograms,” Appl. Opt. 39, 6587-6594 (2000). [CrossRef]
- H. Yoshikawa, S. Iwase, and T. Oneda, “Fast computation of Fresnel holograms employing difference,” Proc. SPIE 3956, 48-55 (2000).
- T. Ito, N. Masuda, K. Yoshimura, A. Shiraki, T. Shimobaba, and T. Sugie, “Special-purpose computer HORN-5 for a real-time electroholography,” Opt. Express 13, 1923-1932(2005). [CrossRef]
- N. Masuda, T. Ito, T. Tanaka, A. Shiraki, and T. Sugie, “Computer generated holography using a graphics processing unit,” Opt. Express 14, 603-608 (2006). [CrossRef]
- T. Shimobaba, A. Shiraki, Y. Ichihashi, N. Masuda, and T. Ito, “Interactive color electroholography using the FPGA technology and time division switching method,” IEICE Electron. Express 5, 271-277 (2008). [CrossRef]
- K. Matsushima, “Computer-generated holograms for three-dimensional surface objects with shade and texture,” Appl. Opt. 44, 4607-4614 (2005). [CrossRef]
- L. Ahrenberg, P. Benzie, M. Magnor, and J. Watson, “Computer generated holograms from three dimensional meshes using an analytic light transport model,” Appl. Opt. 47, 1567-1574 (2008). [CrossRef]
- H. Kim, J. Hahn, and B. Lee, “Mathematical modeling of triangle-mesh-modeled three-dimensional surface objects for digital holography,” Appl. Opt. 47, D117-D127 (2008). [CrossRef]
- K. Matsushima and A. Kondoh, “A wave optical algorithm for hidden-surface removal in digitally synthetic full-parallax holograms for three-dimensional objects,” Proc. SPIE Proc. 5290, 90-97 (2004).
- A. Kondoh and K. Matsushima, “Hidden surface removal in full-parallax CGHs by silhouette approximation,” Syst. Comput. Jpn. 38(6), 53-61 (2007). [CrossRef]
- K. Matsushima, “Exact hidden-surface removal in digitally synthetic full-parallax holograms,” Proc. SPIE 5742, 25-32(2005).
- R. P. Muffoletto, J. M. Tyler, and J. E. Tohline, “Shifted Fresnel diffraction for computational holography,” Opt. Express 15, 5631-5640 (2007). [CrossRef]
- K. Matsushima, H. Schimmel, and F. Wyrowski, “Fast calculation method for optical diffraction on tilted planes by use of the angular spectrum of plane waves,” J. Opt. Soc. Am. A 20, 1755-1762 (2003). [CrossRef]
- K. Matsushima, “Formulation of the rotational transformation of wave fields and their application to digital holography,” Appl. Opt. 47, D110-D116 (2008). [CrossRef]
- R. Bräuer, F. Wyrowski, and O. Bryngdahl, “Diffusers in digital holography,” J. Opt. Soc. Am. A 8, 572-578 (1991). [CrossRef]
- J. W. Goodman, Introduction to Fourier Optics, 2nd ed. (McGraw-Hill, 1996), chap. 3.10.
- D. H. Bailey and P. N. Swarztrauber, “The fractional Fourier transform and applications,” SIAM Rev. 33, 389-404(1991). [CrossRef]
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