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Measurement of mirror surfaces using specular reflection and analytical computation

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Abstract

In many applications, it is desirable to know three-dimensional information of mirror surfaces. However, the reflective characteristic of mirror surfaces makes many traditional three-dimensional reconstruction methods, such as stereovision or structured light scanning, fail. In this paper, a novel method is proposed to measure mirror surfaces. It is implemented with practical hardware and software that directly obtain analytic solutions for three-dimensional points on a mirror surface. Experimental results verified the effectiveness of the proposed method. In particular, this proposed method aims at providing an effective method to reconstruct specular weld pool surfaces which typically are highly dynamic and irregular. The capability to directly obtain analytic solutions for a set of points from a mirror surface as proposed and developed in this paper is a key to effectively measuring such highly dynamic and irregular mirror surfaces.

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References

  1. Greivenkamp, J.E., Bruning, J.H.: Phase shifting interferometry. In: Optical Shop Testing, 2nd edn., pp. 501–598

  2. Song H.S., Zhang Y.M.: Measurement and analysis of three dimensional specular gas tungsten weld pool surface. Weld. J. 87(4), 85s–95s (2008)

    Google Scholar 

  3. Yu Q.F., Shang Y.: Videometrics: Principles and Researches. Science Press, Beijing (2009)

    Google Scholar 

  4. Heikkila, J., Silven, O.: Calibration procedure for short focal length off-the-shelf CCD cameras. In: Proceedings of International Conference on Pattern Recognition, vol. 7270 (1996)

  5. Zhang Z.Y.: A flexible new technique for camera calibration. IEEE Trans. Pattern Anal. Mach. Intell. 22(11), 1330–1334 (2000)

    Article  Google Scholar 

  6. Hartley R., Zisserman A.: Multi-View Geometry in Computer View. Cambridge University Press, Cambridge (2004)

    Book  Google Scholar 

  7. Gonzalez, R.C., Woods, R.E.: Digital Image Processing. 2nd edn. Prentice Hall, Seattle (2002)

  8. David, H.: Understanding Foucault: A Primer for Beginners, 2nd edn. The ATM’s Workshop (2001)

  9. Anderson J.A., Porter R.W.: Ronchi’s method of optical testing. Astrophys. J. 70, 175–181 (1929)

    Article  Google Scholar 

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Correspondence to YuMing Zhang.

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Wang, Z., Huang, X., Yang, R. et al. Measurement of mirror surfaces using specular reflection and analytical computation. Machine Vision and Applications 24, 289–304 (2013). https://doi.org/10.1007/s00138-012-0432-6

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  • DOI: https://doi.org/10.1007/s00138-012-0432-6

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