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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: Joseph N. Mait
  • Vol. 50, Iss. 26 — Sep. 10, 2011
  • pp: 5115–5121

Application of generalized grating imaging to pattern projection in three-dimensional profilometry

Koichi Iwata, Yusuke Sando, Kazuo Satoh, and Kousuke Moriwaki  »View Author Affiliations


Applied Optics, Vol. 50, Issue 26, pp. 5115-5121 (2011)
http://dx.doi.org/10.1364/AO.50.005115


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Abstract

The theory of generalized grating imaging for a one-dimensional grating is applied to a pattern projection system in pattern projection profilometry. Contrast of the projected grating image is calculated under various conditions. The results help to determine the conditions suitable for obtaining high contrast grating images in a large space. Although the gratings required for the profilometry are hexagonal, the theory for two-dimensional gratings is prohibitively complex. Therefore, the projection system was designed using the one-dimensional theory. The projection system using two-dimensional hexagonal gratings was constructed and experiments were done with it. The result agrees approximately with the theoretical calculations for one-dimensional gratings. This suggests that the one-dimensional theory may be used for estimating the approximated behavior for hexagonal gratings for use in pattern projection profilometry. Some discussions are given for the application of the projection system for profiling the mannequin or human body.

© 2011 Optical Society of America

OCIS Codes
(050.2770) Diffraction and gratings : Gratings
(110.6760) Imaging systems : Talbot and self-imaging effects
(110.6880) Imaging systems : Three-dimensional image acquisition
(120.2830) Instrumentation, measurement, and metrology : Height measurements

ToC Category:
Imaging Systems

History
Original Manuscript: January 5, 2011
Revised Manuscript: July 1, 2011
Manuscript Accepted: July 26, 2011
Published: September 8, 2011

Citation
Koichi Iwata, Yusuke Sando, Kazuo Satoh, and Kousuke Moriwaki, "Application of generalized grating imaging to pattern projection in three-dimensional profilometry," Appl. Opt. 50, 5115-5121 (2011)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-50-26-5115


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References

  1. N. D’Apuzzo, “Overview of 3D surface digitization technologies in Europe,” Proc. SPIE 6056, 605605 (2006). [CrossRef]
  2. V. Srinivasan, H. C. Liu, and M. Halioua, “Automated phase-measuring profilometry: a phase mapping approach,” Appl. Opt. 24, 185–188 (1985). [CrossRef] [PubMed]
  3. M. Takeda and K. Mutoh, “Fourier-transform profilometry for the automatic measurement of 3D object shapes,” Appl. Opt. 22, 3977–3982 (1983). [CrossRef] [PubMed]
  4. K. Iwata, F. Kusunoki, K. Moriwaki, H. Fukuda, and T. Tomii, “Three-dimensional profiling using the Fourier transform method with a hexagonal grating projection,” Appl. Opt. 47, 2103–2107 (2008). [CrossRef] [PubMed]
  5. S. Kakunai, T. Sakamoto, and K. Iwata, “Profile measurement taken with liquid crystal grating,” Appl. Opt. 38, 2824–2828(1999). [CrossRef]
  6. E. Stoykova, G. Minchev, and V. Sainov, “Fringe projection with a sinusoidal phase grating,” Appl. Opt. 48, 4774–4784(2009). [CrossRef] [PubMed]
  7. K. Patorski, “The self-imaging phenomenon and its applications,” in Progress in Optics, E.Wolf, ed. (North Holland, 1989) Vol.  27, pp. 3–108. [CrossRef]
  8. D. Crespo, J. Alonso, and E. Bernabeu, “Generalized grating imaging using an extended monochromatic light source,” J. Opt. Soc. Am. A 17, 1231–1240 (2000). [CrossRef]
  9. D. Crespo, J. Alonso, and E. Bernabeu, “Experimental measurements of generalized grating images,” Appl. Opt. 41, 1223–1228 (2002). [CrossRef] [PubMed]
  10. K. Iwata, “Interpretation of generalized grating imaging,” J. Opt. Soc. Am. A 25, 2244–2250 (2008). [CrossRef]
  11. K. Iwata, “Interpretation of generalized grating imaging (farther analysis and numerical calculation),” J. Opt. Soc. Am. A 25, 2939–2944 (2008). [CrossRef]
  12. K. Iwata, “X-ray shearing interferometer and generalized grating imaging,” Appl. Opt. 48, 886–892(2009). [CrossRef] [PubMed]
  13. L. M. Sanchez-Brea, J. Aloso, and E. Bernabeu, “Quasicontinuous pseudoimages in sinusodial grating imaging using an extended light source,” Opt. Commun. 236, 53–58(2004). [CrossRef]

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