OSA's Digital Library

Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: Joseph N. Mait
  • Vol. 52, Iss. 22 — Aug. 1, 2013
  • pp: 5440–5448

Calibration of revolution axis for 360 deg surface measurement

Meiling Dai, Lujie Chen, Fujun Yang, and Xiaoyuan He  »View Author Affiliations


Applied Optics, Vol. 52, Issue 22, pp. 5440-5448 (2013)
http://dx.doi.org/10.1364/AO.52.005440


View Full Text Article

Enhanced HTML    Acrobat PDF (3421 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

Two methods are proposed to calibrate the revolution axis of a 360 deg, multiview fringe projection system for surface measurement. The first method is based on minimizing the distance between calculated and measured points; the second method is based on minimizing the difference between thus obtained vectors. Both are able to retrieve the revolution axis of a turntable, which is then used to transform surface patches measured at different viewing angles to a common coordinate. In the point-based method, a nonlinear minimization problem has to be solved by the Levenberg–Marquardt algorithm; in the vector-based method, the minimization problem is resolved into several linear equations, and an analytic solution is obtained efficiently. Results of simulation and experiments show that the error of calibration can be less than 0.05 deg for the axis’s orientation and 0.3 mm for the axis’s position (a point on the axis), which is about 0.1% of the measured volume.

© 2013 Optical Society of America

OCIS Codes
(120.0120) Instrumentation, measurement, and metrology : Instrumentation, measurement, and metrology
(120.2830) Instrumentation, measurement, and metrology : Height measurements
(120.5050) Instrumentation, measurement, and metrology : Phase measurement
(120.6650) Instrumentation, measurement, and metrology : Surface measurements, figure
(150.1488) Machine vision : Calibration

ToC Category:
Instrumentation, Measurement, and Metrology

History
Original Manuscript: May 10, 2013
Revised Manuscript: July 4, 2013
Manuscript Accepted: July 4, 2013
Published: July 25, 2013

Citation
Meiling Dai, Lujie Chen, Fujun Yang, and Xiaoyuan He, "Calibration of revolution axis for 360 deg surface measurement," Appl. Opt. 52, 5440-5448 (2013)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-52-22-5440


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. J. Geng, “Structured-light 3d surface imaging: a tutorial,” Adv. Opt. Photon. 3, 128–160 (2011). [CrossRef]
  2. S. S. Gorthi and P. Rastogi, “Fringe projection techniques: whither we are?,” Opt. Lasers Eng. 48, 133–140 (2010). [CrossRef]
  3. M. Takeda and K. Mutoh, “Fourier transform profilometry for the automatic measurement of 3-d object shapes,” Appl. Opt. 22, 3977–3982 (1983). [CrossRef]
  4. V. Srinivasan, H. C. Liu, and M. Halioua, “Automated phase-measuring profilometry of 3-d diffuse objects,” Appl. Opt. 23, 3105–3108 (1984). [CrossRef]
  5. M. Halioua, R. S. Krishnamurthy, H. C. Liu, and F. P. Chiang, “Automated 360° profilometry of 3-d diffuse objects,” Appl. Opt. 24, 2193–2196 (1985). [CrossRef]
  6. X. Cheng, X. Su, and L. Guo, “Automated measurement method for 360° profilometry of 3-d diffuse objects,” Appl. Opt. 30, 1274–1278 (1991). [CrossRef]
  7. P. J. Besl and N. D. McKay, “A method for registration of 3-d shapes,” IEEE Trans. Pattern Anal. Mach. Intell. 14, 239–256 (1992). [CrossRef]
  8. S. Rusinkiewiez and M. Levoy, “Efficient variants of the icp algorithm,” in Proceedings of the International Conference on 3D Digital Imaging and Modeling (2001), pp. 145–152.
  9. H. Hoppe, T. DeRose, T. Duchamp, J. McDonald, and W. Stuetzle, “Surface reconstruction from unorganized points,” in Proceedings of the 19th Annual Conference on Computer Graphics and Interactive Techniques, Vol. 26 (1992), pp. 71–78.
  10. M. Kazhdan, M. Bolitho, and H. Hoppe, “Poisson surface reconstruction,” in Eurographics Symposium on Geometry Processing (2006), pp. 61–70.
  11. A. Asundi, C. S. Chan, and M. R. Sajan, “360 deg profilometry: new techniques for display and acquisition,” Opt. Eng. 33, 2760–2769 (1994). [CrossRef]
  12. A. Asundi and W. Zhou, “Mapping algorithm for 360 deg profilometry with time delayed integration imaging,” Opt. Eng. 38, 339–344 (1999). [CrossRef]
  13. R. Sitnik, M. Kujawinska, and J. Woznicki, “Digital fringe projection system for large-volume 360 deg shape measurement,” Opt. Eng. 41, 2443–2449 (2002).
  14. H. Guo and M. Chen, “Multiview connection technique for 360 deg three-dimensional measurement,” Opt. Eng. 42, 900–905 (2003). [CrossRef]
  15. H. He, M. Chen, and H. Guo, “Surface measurement of complex objects using connection techniques based on overlapping areas,” Proc. SPIE 5180, 402–412 (2004). [CrossRef]
  16. H. He, M. Chen, H. Guo, and Y. Yu, “Novel multiview connection method based on virtual cylinder for 3-d surface measurement,” Opt. Eng. 44, 083605 (2005). [CrossRef]
  17. Y. Xu, Q. Yang, and J. Huai, “Calibration of the axis of the turntable in 4-axis laser measuring system and registration of multi-view,” Chinese J. Laser. 32, 659–662 (2005).
  18. P. Zheng, H. Guo, Y. Yu, and M. Chen, “Three-dimensional profile measurement using a flexible new multi-view connection method,” in Proc. SPIE 7155, 715539 (2008). [CrossRef]
  19. R. Ishiyama, T. Okatani, and K. Deguchi, “Precise 3-d measurement using uncalibrated pattern projection,” in IEEE International Conference on Image Processing, Vol. 1 (2007), pp. 225–228.
  20. R. Hartley and A. Zisserman, eds., Multiple View Geometry in Computer Vision (Cambridge University, 2000).
  21. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, eds., Numerical Recipes in C++ (Cambridge University, 2002).
  22. S. Belongie, “Rodrigues’ rotation formula,” From MathWorld–A Wolfram Web Resource, created by Eric W. Weisstein. http://mathworld.wolfram.com/RodriguesRotationFormula.html .
  23. H. Guo, H. He, and M. Chen, “Gamma correction for digital fringe projection profilometry,” Appl. Opt. 43, 2906–2914 (2004). [CrossRef]
  24. K. Hibino, B. F. Oreb, D. I. Farrant, and K. G. Larkin, “Phase shifting for nonsinusoidal waveforms with phase-shift errors,” J. Opt. Soc. Am. A 12, 761–768 (1995). [CrossRef]
  25. B. Pan, K. Qian, L. Huang, and A. Asundi, “Phase error analysis and compensation for nonsinusoidal waveforms in phase-shifting digital fringe projection profilometry,” Opt. Lett. 34, 416–418 (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