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Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 51, Iss. 31 — Nov. 1, 2012
  • pp: 7616–7625

3D shape reconstruction of large specular surface

Hongwei Zhang, Shujian Han, Shugui Liu, Shaohui Li, Lishuan Ji, and Xiaojie Zhang  »View Author Affiliations

Applied Optics, Vol. 51, Issue 31, pp. 7616-7625 (2012)

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A novel three-dimensional (3D) reconstruction method based on fringe reflection technique for shape measurement of large specular surfaces is presented in this paper, which effectively integrates path integration technique with zonal wavefront reconstruction algorithm. The height information of specular surface obtained from cross-path integration can then be used as the initial value in a zonal wavefront reconstruction algorithm. This method not only has the advantages of global integration, but also enables user-friendly, high-speed operation. A specific iterative algorithm is adopted to improve the antinoise capability of the measuring system, which accelerates the rate of convergence significantly and even improves the accuracy of the reconstructed 3D surface. Moreover, the proper use of boundary contour extraction of the acquired images reduces the computational load of 3D reconstruction dramatically and hence achieves high reconstruction accuracy and enhances the surface integrity at the boundary. An ultraprecision, diamond-turned planar mirror with diameter of 150 mm has been employed to implement the system calibration. The reconstruction results of simulated and actual hyperbolic surfaces and the gauge blocks identify the validity of this new method. It is demonstrated that the measurement error is about 50 μm with reconstruction points of 150×560 pixels of gauge blocks.

© 2012 Optical Society of America

OCIS Codes
(100.0100) Image processing : Image processing
(120.0120) Instrumentation, measurement, and metrology : Instrumentation, measurement, and metrology
(120.4630) Instrumentation, measurement, and metrology : Optical inspection
(120.5700) Instrumentation, measurement, and metrology : Reflection
(120.6650) Instrumentation, measurement, and metrology : Surface measurements, figure
(150.0150) Machine vision : Machine vision

ToC Category:
Image Processing

Original Manuscript: June 22, 2012
Revised Manuscript: September 6, 2012
Manuscript Accepted: October 3, 2012
Published: October 26, 2012

Hongwei Zhang, Shujian Han, Shugui Liu, Shaohui Li, Lishuan Ji, and Xiaojie Zhang, "3D shape reconstruction of large specular surface," Appl. Opt. 51, 7616-7625 (2012)

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  1. J. Horbach and T. Dang, “3D reconstruction of specular surfaces using a calibrated projector-camera setup,” Mach. Vis. Appl. 21, 331–340 (2010). [CrossRef]
  2. I. Ihrke, K. N. Kutulakos, H. P. A. Lensch, M. Magnor, and W. Heidrich, “State of the art in transparent and specular object reconstruction,” in Eurographics 2008 (European Association for Computer Graphics, 2008).
  3. S. Gorthi and P. Rastogi, “Fringe projection techniques: Wither we are?,” Opt. Lasers Eng. 48, 133–140 (2010). [CrossRef]
  4. M. Breitbarth, P. Kühmstedt, and G. Notni, “Calibration of a combined system with phase measuring deflectometry and fringe projection,” Proc. SPIE 7389, 738909 (2009). [CrossRef]
  5. G. Häusler, C. Richter, K.-H. Leitz, and M. C. Knauer, “Microdeflectometry—a novel tool to acquire 3D microtopography with nanometer height resolution,” J. Opt. Lett. 33, 396–398 (2008). [CrossRef]
  6. Y.-L. Xiao, X. Su, and W. Chen, “Flexible geometrical calibration for fringe-reflection 3D measurement,” Opt. Lett. 37, 620–622 (2012). [CrossRef]
  7. K. Yusuf, P. Edi, A. Radzi, and A. Ghani, “3D shape of specular surface measurement using five degrees of freedom camera system,” WSEAS Trans. Appl. Theor. Mech. 4, 74–84(2009).
  8. O. A. Skydan, M. J. Lalor, and D. R. Burton, “3D shape measurement of automotive glass by using a fringe reflection technique,” Meas. Sci. Technol. 18, 106–114 (2007). [CrossRef]
  9. Y. Y. Hung and H. M. Shang, “Nondestructive testing of specularly reflective objects using reflection three-dimensional computer vision technique,” Opt. Eng. 42, 1343–1347(2003). [CrossRef]
  10. S. Ettl, J. Kaminski, M. Knauer, and G. Häusler, “Shape reconstruction from gradient data,” Appl. Opt. 47, 2091–2097 (2008). [CrossRef]
  11. T. Wei and R. Klette, “Height from gradient using surface curvature and area constraints,” in Third Indian Conference on Computer Vision, Graphics and Image Processing (ICVGIP, 2002), pp. 204–210.
  12. Z. Wu and L. Li, “A line-integration based method for depth recovery from surface normals,” Comput. Vis. Graph. Image Process 43, 53–66 (1988). [CrossRef]
  13. R. Zhou, Adaptive Optics (National Defence Industry, 1996).
  14. F. W. Y. Chan, “A novel optical method without phase unwrapping for subsurface flaw detection,” Opt. Lasers Eng. 47, 186–193 (2009). [CrossRef]
  15. Y.-Y. Cheng and J. C. Wyant, “Phase shifter calibration in phase-shifting interferometry,” Appl. Opt. 24, 3049–3052 (1985). [CrossRef]
  16. C. Quan, W. Chen, and C. J. Tay, “Phase-retrieval techniques in fringe-projection profilometry,” Opt. Lasers Eng. 48, 235–243 (2010). [CrossRef]
  17. J. M. Huntley and H. O. Saldner, “Temporal phase-unwrapping algorithm for automated interferogram analysis,” Appl. Opt. 32, 3047–3052 (1993). [CrossRef]
  18. R. Y. Tsai, “A versatile camera calibration technique for high-accuracy 3D machine vision metrology using off-the-shelf TV cameras and lenses,” IEEE J. Robot. Autom. 3, 323–344, (1987). [CrossRef]
  19. E. N. Coleman and R. Jain, “Obtaining shape of textured and specular surfaces using four-source photometry,” Comp. Graph. Image Proc. 18, 309–328 (1982). [CrossRef]
  20. W. H. Southwell, “Wavefront estimation from wavefront slope measurements,” J. Opt. Soc. Am. 70, 998–1006(1980). [CrossRef]
  21. W. Li, T. Bothe, C. von Kopylow, and W. P. O. Jüptner, “Evaluation method for gradient measurement techniques,” Proc. SPIE 5457, 300–311 (2004). [CrossRef]
  22. J. A. Quiroga, A. Gonzalez-Cano, and E. Bernabeu, “Phase-unwrapping algorithm based on an adaptive criterion,” Appl. Opt. 34, 2560–2563 (1995). [CrossRef]
  23. H.-Y. Wang, D.-L. Pan, and D.-S. Xia, “A fast algorithm for two-dimensional Otsu adaptive threshold algorithm,” Acta Automat. Sinica 33, 968–971 (2007).
  24. R. O. Duda, P. E. Hart, and D. G. Stock, Pattern Classification (Wiley-Interscience, 2000), pp. 174–176.
  25. R. C. Gonzalez, R. E. Woods, and S. L. Eddins, Digital Image Processing, 3rd ed. (Prentice Hall, 2010).

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