OSA's Digital Library

Applied Optics

Applied Optics


  • Vol. 44, Iss. 22 — Aug. 1, 2005
  • pp: 4607–4614

Computer-generated holograms for three-dimensional surface objects with shade and texture

Kyoji Matsushima  »View Author Affiliations

Applied Optics, Vol. 44, Issue 22, pp. 4607-4614 (2005)

View Full Text Article

Enhanced HTML    Acrobat PDF (1886 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Digitally synthetic holograms of surface model objects are investigated for reconstructing three-dimensional objects with shade and texture. The objects in the proposed techniques are composed of planar surfaces, and a property function defined for each surface provides shape and texture. The field emitted from each surface is independently calculated by a method based on rotational transformation of the property function by use of a fast Fourier transform (FFT) and totaled on the hologram. This technique has led to a reduction in computational cost: FFT operation is required only once for calculating a surface. In addition, another technique based on a theoretical model of the brightness of the reconstructed surfaces enables us to shade the surface of a reconstructed object as designed. Optical reconstructions of holograms synthesized by the proposed techniques are demonstrated.

© 2005 Optical Society of America

OCIS Codes
(090.1760) Holography : Computer holography
(090.1970) Holography : Diffractive optics
(090.2870) Holography : Holographic display

Original Manuscript: June 17, 2004
Revised Manuscript: March 8, 2005
Manuscript Accepted: March 21, 2005
Published: August 1, 2005

Kyoji Matsushima, "Computer-generated holograms for three-dimensional surface objects with shade and texture," Appl. Opt. 44, 4607-4614 (2005)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. J. P. Waters, “Holographic image synthesis utilizing theoretical methods,” Appl. Phys. Lett. 9, 405–407 (1966). [CrossRef]
  2. A. D. Stein, Z. Wang, J. J. S. Leigh, “Computer-generated holograms: a simplified ray-tracing approach,” Comput. Phys. 6, 389–392 (1992). [CrossRef]
  3. M. Lucente, “Interactive computation of holograms using a look-up table,” J. Electron. Imag. 2, 28–34 (1993). [CrossRef]
  4. J. L. Juárez-Pérez, A. Olivares-Pérez, R. Berriel-Valdos, “Nonredundant calculation for creating digital Fresnel holograms,” Appl. Opt. 36, 7437–7443 (1997). [CrossRef]
  5. H. Yoshikawa, S. Iwase, T. Oneda, “Fast computation of Fresnel holograms employing difference,” in Practical Holography XIV and Holographic Materials VI, S. A. Benton, S. H. Stevenson, J. T. Trout, eds., Proc. SPIE3956, 48–55 (2000). [CrossRef]
  6. K. Matsushima, M. Takai, “Recurrence formulas for fast creation of synthetic three-dimensional holograms,” Appl. Opt. 39, 6587–6594 (2000). [CrossRef]
  7. A. Ritter, J. Böttger, O. Deussen, M. König, T. Strothotte, “Hardware-based rendering of full-parallax synthetic holograms,” Appl. Opt. 38, 1364–1369 (1999). [CrossRef]
  8. T. Ito, H. Eldeib, K. Yoshida, S. Takahashi, T. Yabe, T. Kunugi, “Special purpose computer for holography HORN-2,” Comput. Phys. Commun. 93, 13–20 (1996). [CrossRef]
  9. D. Leseberg, C. Frère, “Computer-generated holograms of 3-D objects composed of tilted planar segments,” Appl. Opt. 27, 3020–3024 (1988). [CrossRef] [PubMed]
  10. T. Tommasi, B. Bianco, “Computer-generated holograms of tilted planes by a spatial frequency approach,” J. Opt. Soc. Am. A 10, 299–305 (1993). [CrossRef]
  11. D. Leseberg, “Computer-generated three-dimensional image holograms,” Appl. Opt. 31, 223–229 (1992). [CrossRef] [PubMed]
  12. N. Delen, B. Hooker, “Free-space beam propagation between arbitrarily oriented planes based on full diffraction theory: a fast Fourier transform approach,” J. Opt. Soc. Am. A 15, 857–867 (1998). [CrossRef]
  13. K. Matsushima, H. Schimmel, 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]
  14. J. W. Goodman, Introduction to Fourier Optics, 2nd ed. (McGraw-Hill, 1996), Chap. 3.10.
  15. R. Bräuer, F. Wyrowski, O. Bryngdahl, “Diffusers in digital holography,” J. Opt. Soc. Am. A 8, 572–578 (1991). [CrossRef]
  16. K. Matsushima, A. Kondoh, “Wave optical algorithm for creating digitally synthetic holograms of three-dimensional surface objects,” in Practical Holography XVII and Holographic Materials IX, T. H. Jeong, S. H. Stevenson, eds., Proc. SPIE5005, 190–197 (2003). [CrossRef]
  17. K. Matsushima, A. Joko, “A high-resolution printer for fabricating computer-generated display holograms (in Japanese),” J. Inst. Image Inf. Television Eng. 56, 1989–1994 (2002). [CrossRef]

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