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Applied Optics

Applied Optics


  • Vol. 36, Iss. 19 — Jul. 1, 1997
  • pp: 4463–4472

Three-dimensional imaging based on Gray-code light projection: characterization of the measuring algorithm and development of a measuring system for industrial applications

G. Sansoni, S. Corini, S. Lazzari, R. Rodella, and F. Docchio  »View Author Affiliations

Applied Optics, Vol. 36, Issue 19, pp. 4463-4472 (1997)

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A three-dimensional (3-D) imaging system based on Gray-code projection is described; it is thought to be used as an integration to the already developed profilometer based on the projection of multifrequency gratings. The Gray-code method allows us to evaluate the 3-D profile of objects that present even marked discontinuities of the surface, thus increasing the flexibility of the measuring system as to the topology of the objects that can be measured. The basic aspects of Gray-code projection for 3-D imaging and profiling are discussed, with particular emphasis devoted to the study of the resolution of the method and to the analysis of the systematic errors. The results of this study allow us to determine the optimal setting of the parameters of the measurement and to develop a suitable calibration procedure. The procedures for implementing the Gray-code method are presented, and some interesting experimental results are reported. Calibration of the system reveals an accuracy of 0.2 mm, corresponding to 0.1% of the field of view.

© 1997 Optical Society of America

Original Manuscript: May 28, 1996
Revised Manuscript: October 17, 1996
Published: July 1, 1997

G. Sansoni, S. Corini, S. Lazzari, R. Rodella, and F. Docchio, "Three-dimensional imaging based on Gray-code light projection: characterization of the measuring algorithm and development of a measuring system for industrial applications," Appl. Opt. 36, 4463-4472 (1997)

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  1. W. Reichmann, “Fast object recording by means of structured light and photogrammetric techniques,” Proc. Int. Arch. Photogramm. Remote Sensing 30, 195–200 (1995.
  2. T. G. Stahs, F. M. Wahl, “Fast and versatile range data acquisition in a robot work cell,” in Proceedings of the IEEE/RSJ International Conference on Intelligent Robots and Systems, (IEEE, New York, 1990), pp.1169–1174.
  3. R. Windecker, H. J. Tiziani, “Topometry of technical and biological objects by fringe projection,” Appl. Opt. 34, 3644–3650 (1995). [CrossRef] [PubMed]
  4. D. Poussart, D. Laurendeau, “3-D sensing for industrial computer vision,” in Advances in Machine Vision, J. L. C. Sanz, ed. (Springer-Verlag, New York, 1989), Chap. 3.
  5. K. Leonhardt, U. Droste, H. J. Tiziani, “Microshape and rough-surface analysis by fringe projection,” Appl. Opt. 33, 7477–7488 (1994). [CrossRef] [PubMed]
  6. G. Sansoni, L. Biancardi, U. Minoni, F. Docchio, “A novel, adaptive system for 3-D optical profilometry using a liquid crystal light projector,” IEEE Trans. Instrum. Meas. 43, 558–566 (1994). [CrossRef]
  7. S. Tang, Y. Y. Hung, “Fast profilometer for the automatic measurement of 3-D object shapes,” Appl. Opt. 29, 3012–3018 (1990). [CrossRef] [PubMed]
  8. G. Sansoni, L. Biancardi, F. Docchio, U. Minoni, “Comparative analysis of low-pass filters for the demodulation of projected gratings in 3-D adaptive profilometry,” IEEE Trans. Instrum. Meas. 43, 50–55 (1994). [CrossRef]
  9. W. Osten, W. Nadeborn, P. Andrä, “General hierarchical approach in absolute phase measurement,” in Laser Interferometry VIII: Applications, R. J. Pryputniewicz, G. M. Brown, W. P. Jueptner, eds., Proc. SPIE2860, 2–13 (1996). [CrossRef]
  10. L. Biancardi, S. Carrato, G. Ramponi, G. Sansoni, “Whole field optical profilometry: application of nonlinear processing algorithms to the enhancement of low-contrast images,” in Videometrico III, S. F. El-Hakim, ed., Proc. SPIE2350, 336–342 (1994). [CrossRef]
  11. T. G. Stahs, F. M. Wahl, “Fast and robust range data acquisition in a low-cost environment,” in Close-Range Photogrammetry Meets Machine Vision, E. P. Baltsavias, A. Gruen, eds., Proc. SPIE1395, 496–503 (1990).
  12. W. Krattenthaler, K. J. Mayer, H. P. Duwe, “3D- Surface measurement with coded light approach,” Proc. Oesterr. Arbeitsgem. MustererKennung 12, 103–114 (1993).
  13. L. Biancardi, G. Sansoni, F. Docchio, “Adaptive whole field optical profilometry: a study of the systematic errors,” IEEE Trans. Instrum. Meas. 44, 36–41 (1995). [CrossRef]

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