OSA's Digital Library

Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 21, Iss. 8 — Apr. 22, 2013
  • pp: 9652–9663

Simplified calculation method for computer-generated holographic stereograms from multi-view images

Yasuhiro Takaki and Kyohei Ikeda  »View Author Affiliations

Optics Express, Vol. 21, Issue 8, pp. 9652-9663 (2013)

View Full Text Article

Enhanced HTML    Acrobat PDF (2660 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



A simple calculation method to synthesize computer-generated holographic stereograms, which does not involve diffraction calculations, is proposed. It is assumed that three-dimension (3D) image generation by holographic stereograms is similar to that of multi-view autostereoscopic displays, in that multiple parallax images are displayed with rays converging to corresponding viewpoints. Therefore, a wavefront is calculated, whose amplitude is the square root of an intensity distribution of a parallax image and whose phase is a quadric phase distribution of a spherical wave converging to a viewpoint. Multiple wavefronts calculated for multiple viewpoints are summed up to obtain an object wave, which is then used to determine a hologram pattern. The proposed technique was experimentally verified.

© 2013 OSA

OCIS Codes
(090.1760) Holography : Computer holography
(090.2870) Holography : Holographic display
(120.2040) Instrumentation, measurement, and metrology : Displays

ToC Category:

Original Manuscript: January 28, 2013
Revised Manuscript: April 7, 2013
Manuscript Accepted: April 8, 2013
Published: April 11, 2013

Yasuhiro Takaki and Kyohei Ikeda, "Simplified calculation method for computer-generated holographic stereograms from multi-view images," Opt. Express 21, 9652-9663 (2013)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. R. V. Pole, “3-D imagery and holograms of objects illuminated in white light,” Appl. Phys. Lett.10(1), 20–22 (1967). [CrossRef]
  2. D. J. De Bitetto, “Transmission bandwidth reduction of holographic stereograms recorded in white light,” Appl. Phys. Lett.12(10), 343–344 (1968). [CrossRef]
  3. J. T. McCrickerd and N. George, “Holographic stereogram from sequential component photographs,” Appl. Phys. Lett.12(1), 10–12 (1968). [CrossRef]
  4. D. J. DeBitetto, “Holographic panoramic stereograms synthesized from white light recordings,” Appl. Opt.8(8), 1740–1741 (1969). [CrossRef] [PubMed]
  5. M. C. King, A. M. Noll, and D. H. Berry, “A new approach to computer-generated holography,” Appl. Opt.9(2), 471–475 (1970). [CrossRef] [PubMed]
  6. T. Yatagai, “Stereoscopic approach to 3-D display using computer-generated holograms,” Appl. Opt.15(11), 2722–2729 (1976). [CrossRef] [PubMed]
  7. H. Kang, T. Yamaguchi, and H. Yoshikawa, “Accurate phase-added stereogram to improve the coherent stereogram,” Appl. Opt.47(19), D44–D54 (2008). [CrossRef] [PubMed]
  8. D. Abookasis and J. Rosen, “Computer-generated holograms of three-dimensional objects synthesized from their multiple angular viewpoints,” J. Opt. Soc. Am. A20(8), 1537–1545 (2003). [CrossRef] [PubMed]
  9. N. T. Shaked, J. Rosen, and A. Stern, “Integral holography: white-light single-shot hologram acquisition,” Opt. Express15(9), 5754–5760 (2007). [CrossRef] [PubMed]
  10. N. T. Shaked and J. Rosen, “Modified Fresnel computer-generated hologram directly recorded by multiple-viewpoint projections,” Appl. Opt.47(19), D21–D27 (2008). [CrossRef] [PubMed]
  11. N. T. Shaked and J. Rosen, “Multiple-viewpoint projection holograms synthesized by spatially incoherent correlation with broadband functions,” J. Opt. Soc. Am. A25(8), 2129–2138 (2008). [CrossRef] [PubMed]
  12. J.-H. Park, M.-S. Kim, G. Baasantseren, and N. Kim, “Fresnel and Fourier hologram generation using orthographic projection images,” Opt. Express17(8), 6320–6334 (2009). [CrossRef] [PubMed]
  13. N. Chen, J.-H. Park, and N. Kim, “Parameter analysis of integral Fourier hologram and its resolution enhancement,” Opt. Express18(3), 2152–2167 (2010). [CrossRef] [PubMed]
  14. T. Mishina, M. Okui, and F. Okano, “Calculation of holograms from elemental images captured by integral photography,” Appl. Opt.45(17), 4026–4036 (2006). [CrossRef] [PubMed]
  15. W. Plesniak, M. Halle, V. M. Bove, J. Barabas, and R. Pappu, “Reconfigurable image projection holograms,” Opt. Eng.45(11), 115801 (2006). [CrossRef]
  16. Q. Y. J. Smithwick, J. Barabas, D. E. Smalley, and V. M. Bove., “Interactive holographic stereograms with accommodation cues,” Proc. SPIE7619, 761903, 761903-13 (2010). [CrossRef]
  17. T. Okoshi, Three-Dimensional Imaging Techniques (Academic Press, New York, 1976).
  18. T. Okoshi, “Three-dimensional displays,” Proc. IEEE68(5), 548–564 (1980). [CrossRef]
  19. N. A. Dodgson, “Autostereoscopic 3D displays,” Computer38(8), 31–36 (2005). [CrossRef]
  20. O. Bryngdahl and A. Lohmann, “Single-sideband holography,” J. Opt. Soc. Am.58(5), 620–624 (1968). [CrossRef]
  21. Y. Takaki and Y. Tanemoto, “Band-limited zone plates for single-sideband holography,” Appl. Opt.48(34), H64–H70 (2009). [CrossRef] [PubMed]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited