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Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 21, Iss. 25 — Dec. 16, 2013
  • pp: 30610–30622

New approach to improve the accuracy of 3-D shape measurement of moving object using phase shifting profilometry

Lei Lu, Jiangtao Xi, Yanguang Yu, and Qinghua Guo  »View Author Affiliations

Optics Express, Vol. 21, Issue 25, pp. 30610-30622 (2013)

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When phase shifting profilometry (PSP) is employed for 3-D shape measurement, the object must be kept static during the projection and acquisition of the multiple fringe patterns. Errors will occur when the object moves and if the projection and capture of fringe patterns are not fast enough. In this paper, a new approach is proposed to tackle the problem, consisting of two steps. Firstly, the rotation matrix and translation vector describing the movement of the object are estimated using a set of marks placing on the surface of the object. Then the expressions of the fringe patterns under the influence of 2-D object movement are derived, which are employed to determine the correct phase map, leading to accurate measurement of the profile. Simulations and experiments are presented to verify the effectiveness of the proposed algorithm.

© 2013 Optical Society of America

OCIS Codes
(050.5080) Diffraction and gratings : Phase shift
(100.2650) Image processing : Fringe analysis
(120.5050) Instrumentation, measurement, and metrology : Phase measurement
(120.6650) Instrumentation, measurement, and metrology : Surface measurements, figure

ToC Category:
Instrumentation, Measurement, and Metrology

Original Manuscript: September 12, 2013
Revised Manuscript: October 31, 2013
Manuscript Accepted: December 1, 2013
Published: December 5, 2013

Lei Lu, Jiangtao Xi, Yanguang Yu, and Qinghua Guo, "New approach to improve the accuracy of 3-D shape measurement of moving object using phase shifting profilometry," Opt. Express 21, 30610-30622 (2013)

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  1. S. Zhang, “Recent progresses on real-time 3D shape measurement using digital fringe projection techniques,” Opt. Lasers Eng.48(2), 149–158 (2010). [CrossRef]
  2. Y. Ding, J. Xi, Y. Yu, and J. Chicharo, “Recovering the absolute phase maps of two fringe patterns with selected frequencies,” Opt. Lett.36(13), 2518–2520 (2011). [CrossRef] [PubMed]
  3. S. Zhang, D. Van Der Weide, and J. Oliver, “Superfast phase-shifting method for 3-D shape measurement,” Opt. Express18(9), 9684–9689 (2010). [CrossRef] [PubMed]
  4. Y. Hu, J. Xi, J. Chicharo, and Z. Yang, “Blind color isolation for color-channel-based fringe pattern profilometry using digital projection,” J. Opt. Soc. Am. A24(8), 2372–2382 (2007). [CrossRef] [PubMed]
  5. K. Liu, Y. Wang, D. L. Lau, Q. Hao, and L. G. Hassebrook, “Gamma model and its analysis for phase measuring profilometry,” J. Opt. Soc. Am. A27(3), 553–562 (2010). [CrossRef] [PubMed]
  6. X. Su, W. Chen, Q. Zhang, and Y. Chao, “Dynamic 3-D shape measurement method based on FTP,” Opt. Lasers Eng.36(1), 49–64 (2001). [CrossRef]
  7. Q. Zhang and X. Su, “High-speed optical measurement for the drumhead vibration,” Opt. Express13(8), 3110–3116 (2005). [CrossRef] [PubMed]
  8. S. Zhang and S.-T. Yau, “High-speed three-dimensional shape measurement system using a modified two-plus-one phase-shifting algorithm,” Opt. Eng.46(11), 113603 (2007). [CrossRef]
  9. E. Hu and Y. He, “Surface profile measurement of moving objects by using an improved π phase-shifting Fourier transform profilometry,” Opt. Lasers Eng.47(1), 57–61 (2009). [CrossRef]
  10. Y. Hu, J. Xi, J. F. Chicharo, W. Cheng, and Z. Yang, “Inverse function analysis method for fringe pattern profilometry,” IEEE Trans. Instrum. Meas.58(9), 3305–3314 (2009). [CrossRef]
  11. Z. Zhang, “A flexible new technique for camera calibration,” IEEE Trans. Pattern Anal. Mach. Intell.22(11), 1330–1334 (2000). [CrossRef]
  12. P. Meer, D. Mintz, A. Rosenfeld, and D. Y. Kim, “Robust regression methods for computer vision: a review,” Int. J. Comput. Vis.6(1), 59–70 (1991). [CrossRef]
  13. K. S. Arun, T. S. Huang, and S. D. Blostein, “Least-Squares fitting of two 3-D point sets,” IEEE Trans. Pattern Anal. Mach. Intell.9(5), 698–700 (1987). [CrossRef] [PubMed]
  14. B. K. P. Horn, “Closed-form solution of absolute orientation using unit quaternions,” J. Opt. Soc. Am. A4(4), 629–642 (1987). [CrossRef]
  15. A. Trujillo-Pino, K. Krissian, M. Alemán-Flores, and D. Santana-Cedrés, “Accurate subpixel edge location based on partial area effect,” Image Vis. Comput.31(1), 72–90 (2013). [CrossRef]

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