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Applied Optics

Applied Optics


  • Vol. 38, Iss. 19 — Jul. 1, 1999
  • pp: 4019–4029

Intensity-modulated moiré topography

Cunwei Lu and Seiji Inokuchi  »View Author Affiliations

Applied Optics, Vol. 38, Issue 19, pp. 4019-4029 (1999)

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Moiré topography has the advantage of requiring only a single image to obtain a three-dimensional measurement, but it cannot discern the fringe order. Because there is an ambiguity problem when calculating the depth range by use of fringe intensity or phase unwrapping, it is impossible to obtain an absolute phase and an absolute depth range. It is therefore difficult to discern the relation between fringes in the cases in which the fringes are discontinuous or the objects are isolated. An intensity-modulated moiré topography method is presented. By modulation of the transmission factors of the projection and the observation gratings by exponential functions a new moiré pattern whose fringe intensity changes with its order can be produced. The fringe order can be extracted easily from the fringe intensity, and the absolute range of the skeleton line can be obtained solely from its intensity. At the same time, we can segment the moiré pattern by its fringe order. For every segment the absolute phase and the absolute depth range of every point of the moiré pattern can be obtained solely from its intensity with no need for interaction with the user.

© 1999 Optical Society of America

OCIS Codes
(100.2650) Image processing : Fringe analysis
(100.6890) Image processing : Three-dimensional image processing
(110.6880) Imaging systems : Three-dimensional image acquisition
(120.4120) Instrumentation, measurement, and metrology : Moire' techniques
(170.4090) Medical optics and biotechnology : Modulation techniques

Original Manuscript: August 3, 1998
Revised Manuscript: February 5, 1999
Published: July 1, 1999

Cunwei Lu and Seiji Inokuchi, "Intensity-modulated moiré topography," Appl. Opt. 38, 4019-4029 (1999)

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  1. D. M. Meadows, W. O. Johnson, J. B. Allen, “Generation of surface contours by moiré pattern,” Appl. Opt. 9, 942–947 (1970). [CrossRef] [PubMed]
  2. H. Takasaki, “Moiré topography,” Appl. Opt. 9, 1467–1472 (1970). [CrossRef] [PubMed]
  3. D. Post, B. Han, P. Ifju, High-Sensitivity Moiré (Springer-Verlag, New York, 1994), p. 444.
  4. M. Halioua, R. S. Krishnamurthy, H. Liu, F. P. Chiang, “Projection moiré with moving gratings for automated 3-D topography,” Appl. Opt. 22, 850–855 (1983). [CrossRef]
  5. G. Mauvoision, F. Bremand, A. Lagarde, “Three-dimensional shape reconstruction by phase-shifting shadow moiré,” Appl. Opt. 33, 2163–2169 (1994). [CrossRef]
  6. X. Xie, J. T. Atkinson, M. J. Lalor, D. R. Burton, “Three-map absolute moiré contouring,” Appl. Opt. 35, 6690–6695 (1996). [CrossRef]
  7. Y. Arai, S. Yokozeki, T. Yamada, “Fringe-scanning method using a general function for shadow moiré,” Appl. Opt. 34, 4877–4882 (1995). [CrossRef] [PubMed]
  8. X. F. Duan, M. Gao, L. M. Peng, “Accurate measurement of phase shift in electron holography,” Appl. Phys. Lett. 72, 771–773 (1998). [CrossRef]
  9. H. Zhang, X. Wu, “3-D shape measurement with phase-shift and logical moiré method,” Acta Opt. Sinica 14, 408–411 (1994).
  10. J. M. Huntley, H. Saldner, “Temporal phase-unwrapping algorithm for automated interferogram analysis,” Appl. Opt. 32, 3047–3052 (1993). [CrossRef] [PubMed]
  11. J. M. Huntley, H. O. Saldner, “Shape measurement by temporal phase unwrapping and spatial light modulator-based fringe projector,” in Sensors, Sensor Systems, and Sensor Data Processing, O. Loffield, ed., Proc. SPIE3100, 185–192 (1997). [CrossRef]
  12. F. Bremand, “Phase unwrapping technique for object relief determination,” Opt. Lasers Eng. 21, 49–60 (1994). [CrossRef]
  13. X. Peng, S. M. Zhu, S. H. Ye, H. J. Tiziani, “Problem of phase unwrapping for fringe pattern overlaid with random noise and segmented discontinuity,” in Automated Optical Inspection for Industry, F. Y. Wu, S. Ye, eds., Proc. SPIE2899, 96–104 (1996). [CrossRef]
  14. E. Schubert, “Fast 3-D object recognition using multiple color coded illumination,” in Proceedings of the 1997 IEEE International Conference on Acoustics, Speech, and Signal Processing ICASSP (Institute of Electrical and Electronics Engineers, New York, 1997), Vol. 4, pp. 3057–3060. [CrossRef]
  15. C. Lu, A. Yamaguchi, S. Inokuchi, “3-D measurement by intensity modulation moiré topography,” in 1996 International Workshop on Interferometry (Optical Society of Japan, Wako, Saitama/Japan, 1996), pp. 127–128.
  16. C. Lu, A. Yamaguchi, S. Inokuchi, “Intensity modulated moiré and its intensity-phase analysis,” in The Fourteenth International Conference on Pattern Recognition ICPR’98 (IEEE Computer Society, Bisbane, Queensland, Australia, 1998), pp. 1791–1793.
  17. Q. Yu, K. Andresn, W. Osten, W. Junptner, “Noise-free normalized fringe pattern and local pixel transforms for strain extraction,” Appl. Opt. 35, 3783–3790 (1996). [CrossRef] [PubMed]

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