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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 18, Iss. 11 — May. 24, 2010
  • pp: 11300–11307

Analysis and identification of phase error in phase measuring profilometry

Feng Chen, Xianyu Su, and Liqun Xiang  »View Author Affiliations

Optics Express, Vol. 18, Issue 11, pp. 11300-11307 (2010)

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Both the analysis of phase errors which occur at the abrupt discontinuities in phase measuring profilometry (PMP) and the identification method are presented in this paper. The sampling effect of CCD will cause a dilution of accuracy in PMP, especially at abrupt discontinuities on the object surface. The existing methods cannot efficiently identify the abrupt discontinuities. We analyze the relationship between the phase, the height and the equivalent wavelength. By viewing the phase as the argument of a vector we find out that CCD sampling introduces errors into the measurement and the phase is nonlinear to the equivalent wavelength at the abrupt discontinuities. Therefore temporal phase unwrapping (TPU) is introduced into the measurement to identify the abrupt discontinuities. Computer simulations and practical experiment validate the feasibility of this method.

© 2010 OSA

OCIS Codes
(100.5070) Image processing : Phase retrieval
(120.2650) Instrumentation, measurement, and metrology : Fringe analysis
(120.5050) Instrumentation, measurement, and metrology : Phase measurement
(350.5030) Other areas of optics : Phase
(100.5088) Image processing : Phase unwrapping

ToC Category:
Image Processing

Original Manuscript: February 12, 2010
Revised Manuscript: April 4, 2010
Manuscript Accepted: April 22, 2010
Published: May 13, 2010

Feng Chen, Xianyu Su, and Liqun Xiang, "Analysis and identification of phase error in phase measuring profilometry," Opt. Express 18, 11300-11307 (2010)

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  1. V. Srinivasan, H. C. Liu, and M. Halioua, “Automated phase-measuring profilometry of 3-D diffuse objects,” Appl. Opt. 23(18), 3105–3108 (1984). [CrossRef] [PubMed]
  2. J. M. Huntley, “Noise-immune phase unwrapping algorithm,” Appl. Opt. 28(16), 3268–3270 (1989). [CrossRef] [PubMed]
  3. T. R. Judge and P. J. Bryanston-Cross, “A review of phase unwrapping techniques in fringe analysis,” Opt. Lasers Eng. 21(4), 199–239 (1994). [CrossRef]
  4. H. Su, J. Li, and X. Su, “Phase algorithm without the influence of carrier frequency,” Opt. Eng. 36(6), 1799–1805 (1997). [CrossRef]
  5. A. Asundi and Z. Wensen, “Fast phase-unwrapping algorithm based on a gray-scale mask and flood fill,” Appl. Opt. 37(23), 5416–5420 (1998). [CrossRef]
  6. H. O. Saldner and J. M. Huntley, “Temporal phase unwrapping: application to surface profiling of discontinuous objects,” Appl. Opt. 36(13), 2770–2775 (1997). [CrossRef] [PubMed]
  7. Y. Hao, Y. Zhao, and D. Li, “Multifrequency grating projection profilometry based on the nonlinear excess fraction method,” Appl. Opt. 38(19), 4106–4110 (1999). [CrossRef]
  8. E. Hu, Y. He, and Y. Chen, “Study on a novel phase-recovering algorithm for partial intensity saturation in digital projection grating phase-shifting profilometry,” Opt. Int. J. Light Electron. Opt. (2008), doi:.
  9. E. Hu, Y. He, and Y. Chen, “Study on a novel phase-recovering algorithm for partial intensity saturation in digital projection grating phase-shifting profilometry,” Optik - International Journal for Light and Electron Optics 121(1), 23–28 (2010). [CrossRef]
  10. X. Su and W. Chen, “Reliability-guided phase unwrapping algorithm: a review,” Opt. Lasers Eng. 42(3), 245–261 (2004). [CrossRef]
  11. J. M. Huntley and H. O. Saldner, “Temporal phase-unwrapping algorithm for automated interferogram analysis,” Appl. Opt. 32(17), 3047–3052 (1993). [CrossRef] [PubMed]
  12. M. Huntley and H. O. Saldner, “Error-reduction methods for shape measurement by temporal phase-unwrapping,” J. Opt. Soc. Am. A 14(12), 3188–3196 (1997). [CrossRef]

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