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Efficient extraction of metric measurements for planar scene under 2D homography with the help of planar circles

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Abstract

Extraction of metric properties from perspective view is a challenging task in many machine vision applications. Most conventional approaches typically first recover the perspective transformation parameters up to a similarity transform and make measurements in the resulting rectified image. In this paper, a new approach is proposed to allow quick and reliable Euclidean measures to be made directly from a perspective view without explicitly recovering the world plane. Unlike previous planar rectification strategies, our approach makes use of planar circles to help identify the image of the absolute conic, which makes it capable of performing effective rectification under many difficult cases that are unable to be treated with other rectification approaches. This is made possible by solving the images of the circular points in closed-form from the vanishing line and the image of one arbitrary planar circle and by exploiting the invariant relationship between the circular points and the absolute conic under projective transformation. Subsequently, planar Euclidean measures can be made directly from the image plane. The practical advantages and the efficiency of this method are demonstrated by experiments on both synthetic and real scenes.

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References

  1. Criminisi, A., Reid, I., Zisserman, A.: Single view metrology. Int. J. Comput. Vis. 40(2), 123–148 (2000)

    Article  MATH  Google Scholar 

  2. Guillou, E., Meneveaux, D., Maisel, E., Bouatouch, K.: Using vanishing points for camera calibration and coarse 3D reconstruction from a single image. Vis. Comput. 16(7), 396–410 (2000)

    Article  MATH  Google Scholar 

  3. Liebowitz, D., Criminisi, A., Zisserman, A.: Creating architectural models from images. In: Proceedings of the EuroGraphics, vol. 18, pp. 39–50, September, 1999

  4. Liebowitz, D., Zisserman, A.: Metric rectification for perspective images of planes. In: Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, pp. 482–488, June, 1998

  5. Faugeras, O.: Stratification of 3-D vision: projective, affine, and metric representations. J. Opt. Soc. Am. A 12(3), 465–484 (1995)

    Article  Google Scholar 

  6. Triggs, B.: Autocalibration from planar scenes, pp. 89–105. ECCV, 1998

  7. Zhang, Z.: Flexible camera calibration by viewing a plane from unknown orientations, pp. 666–673. ICCV, 1999

  8. Hartley, R., Zisserman, A.: Multiple view geometry in computer vision. Cambridge University, 2000.

  9. Semple, J., Kneebone, G.: Algebraic projective geometry. Clarendon Press, Oxford, 1998

    MATH  Google Scholar 

  10. Caprile, B., Torre, V.: Using vanishing points for camera calibration. Int. J. Comput. Vis. 4(2), 127–140 (1990)

    Article  Google Scholar 

  11. McLean, G., Kotturi, D.: Vanishing point detection by line clustering. IEEE Trans PAMI 17(11), 1090–1095 (1995)

    Google Scholar 

  12. Shufelt, J.: Performance and analysis of vanishing point detection techniques. IEEE Trans. PAMI 21(3), 282–288 (1999)

    Google Scholar 

  13. Smith, S., Brady, J.: SUSAN—a new approach to low-level image processing. Int. J. Comput. Vis. 23(1), 45–78 (1997)

    Article  Google Scholar 

  14. Ellis, T., Abbood, A., Brillault, B.: Ellipse detection and matching with uncertainty. Image Vis. Comput. 10(2), 271–276 (1992)

    Article  Google Scholar 

  15. Fitzgibbon, M., Fisher, R.: Direct least-square fitting of Ellipses. IEEE Trans. PAMI 21(5), 476–480 (1999)

    Google Scholar 

  16. Press, W. et al.: Numerical recipes in C: the art of scientific computing, 2nd edn. Cambridge University Press, Cambridge, New York, 1997

  17. Hartley, R.: In defence of the 8-point algorithm. In: Proceedings of the 5th International Conference on Computer Vision, pp 1064–1070, Boston, MA, June 1995

  18. Criminisi, A., Reid, I., Zisserman, A.: Plane measuring device. Image Vis. Comput. 17(8), 625–634 (1999)

    Article  Google Scholar 

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Authors and Affiliations

  1. Centre for Innovative Applications of Internet and Multimedia Technologies (AIMtech Centre) and Department of Computer Science, City University of Hong Kong, Hong Kong, Hong Kong

    Yisong Chen & Horace H. S. Ip

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  1. Yisong Chen
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  2. Horace H. S. Ip
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Correspondence to Yisong Chen.

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Chen, Y., Ip, H.H.S. Efficient extraction of metric measurements for planar scene under 2D homography with the help of planar circles. Machine Vision and Applications 17, 139–146 (2006). https://doi.org/10.1007/s00138-006-0020-8

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  • DOI: https://doi.org/10.1007/s00138-006-0020-8

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