OSA's Digital Library

Optics Letters

Optics Letters


  • Editor: Alan E. Willner
  • Vol. 38, Iss. 5 — Mar. 1, 2013
  • pp: 694–696

Robust self-calibration three-dimensional shape measurement in fringe-projection photogrammetry

Yong-Liang Xiao, Junpeng Xue, and Xianyu Su  »View Author Affiliations

Optics Letters, Vol. 38, Issue 5, pp. 694-696 (2013)

View Full Text Article

Enhanced HTML    Acrobat PDF (336 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Commonly, fringe-projection photogrammetry involves two independent stages: system calibration and measurement. The measurement accuracy largely depends on the calibration procedure. However, the results of system calibration may be unstable in different occasions. In this Letter, we propose a robust self-calibration 3D shape measurement in fringe-projection photogrammetry by combining control and measurement points. The control points with known 3D coordinates are provided on the checkerboard, and the measurement points are identified by absolute phase information in the deformed fringes. The introduction of control points in the nonlinear collinearity equations can be regarded as invariant in the optimization procedure, which enhances the measurement robustness. Compared to the binocular model in fringe-projection technique, moreover, multiple-view ray intersection is utilized to reflect the advantage of photogrammetry in the fringe-projection 3D measurement.

© 2013 Optical Society of America

OCIS Codes
(120.2650) Instrumentation, measurement, and metrology : Fringe analysis
(150.6910) Machine vision : Three-dimensional sensing
(150.1488) Machine vision : Calibration

ToC Category:
Integrated Optics

Original Manuscript: October 24, 2012
Revised Manuscript: December 31, 2012
Manuscript Accepted: January 28, 2013
Published: February 25, 2013

Yong-Liang Xiao, Junpeng Xue, and Xianyu Su, "Robust self-calibration three-dimensional shape measurement in fringe-projection photogrammetry," Opt. Lett. 38, 694-696 (2013)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. T. Luhmann, ISPRS J. Photogramm. Remote Sens. 65, 558 (2010). [CrossRef]
  2. W. Schreiber and G. Notni, Opt. Eng. 39, 159 (2000). [CrossRef]
  3. C. Reich, R. Ritter, and J. Thesing, Opt. Eng. 39, 224(2000). [CrossRef]
  4. C. Bräuer-Burchardt, M. Möller, C. Munkelt, P. Kühmstedt, and G. Notni, Proc. SPIE 7830, 783019 (2010). [CrossRef]
  5. R. Legarda-Saenz, T. Bothe, and W. P. Jüptner, Opt. Eng. 43, 464 (2004). [CrossRef]
  6. Y. Yin, X. Peng, A. Li, X. Liu, and B. Z. Gao, Opt. Lett. 37, 542 (2012). [CrossRef]
  7. Z. Zhang, IEEE Trans. Pattern Anal. Machine Intell. 22, 1330 (2000). [CrossRef]
  8. S. Zhang and P. S. Huang, Opt. Eng. 45, 083601 (2006). [CrossRef]
  9. K. B. Atkinson, Close Range Photogrammetry and Machine Vision (Whittles, 1996).
  10. K. Madsen, H. B. Nielsen, and O. Tingleff, Methods for Non-Linear Least Squares Problems, 2nd ed. (Technical University of Denmark, 2004).
  11. S. Zhang and S. T. Yau, Opt. Express 14, 2644 (2006). [CrossRef]
  12. X. Su and W. Chen, Opt. Laser Eng. 42, 245 (2004). [CrossRef]
  13. C. Bräuer-Burchardt, Proc. SPIE 5962, 59620J (2005). [CrossRef]
  14. M. I. A. Lourakis and A. A. Argyros, ACM Trans. Math. Softw. 36, 1 (2009). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited