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BMVC92 pp 347–356Cite as

On Local Matching of Free-Form Curves

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Abstract

Geometric matching in general is a difficult unsolved problem in computer vision. Fortunately, in many practical applications, some a priori knowledge exists which considerably simplifies the problem. In visual navigation, for example, the motion between successive positions is usually either small or approximately known, but a more precise registration is required for environment modeling. The algorithm described in this paper meets this need. Objects are represented by free-form curves, i.e., arbitrary space curves of the type found in practice. A curve is available in the form of a set of chained points. The proposed algorithm is based on iterativeiy matching points on one curve to the closest points on the other. A least-squares technique is used to estimate 3-D motion from the point correspondences, which reduces the average distance between curves in the two sets. Both synthetic and real data have been used to test the algorithm, and the results show that it is efficient and robust, and yields an accurate motion estimate.

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References

  1. R. Bolles and R. Cain, “Recognizing and locating partially visible objects, the local-feature-focus method,” Int’l J. Robotics Res. ,vol. 1, no. 3, pp. 57–82, 1982.

    Article  Google Scholar 

  2. D. Walters, “Selection of image primitives for general-purpose visual processing,” Comput. Vision, Graphics Image Process. ,vol. 3T, no. 3, pp. 261–298, 1987.

    Article  Google Scholar 

  3. E. E. Milios, “Shape matching using curvature processes,” Comput. Vision, Graphics Image Process. ,vol. 47, pp. 203–226, 1989.

    Article  Google Scholar 

  4. T. Pavlidis, “Algorithms for shape analysis of contours and waveforms,” IEEE Trans. PAMI ,vol. 2, no. 4, pp. 301–312, 1980.

    Article  Google Scholar 

  5. J. T. Schwartz and M. Sharir, “Identification of partially obscured objects in two and three dimensions by matching noisy characteristic curves,” Int’l J. Robotics Res. ,vol. 6, no. 2, pp. 29–44, 1987.

    Article  Google Scholar 

  6. H. Wolfson, “On curve matching,” IEEE Trans. PAMI ,vol. 12, no. 5, pp. 483–489, 1990.

    Article  Google Scholar 

  7. P. J. Besl and N. D. McKay, “A method for registration of 3-D shapes,” IEEE Trans. PAMI ,vol. 14, pp. 239–256, February 1992.

    Article  Google Scholar 

  8. Z. Zhang, “Iterative point matching for registration of free-form curves,” Research Report 1658, INRIA Sophia-Antipolis, March 1992.

    Google Scholar 

  9. L. Robert and O. Faugeras, “Curve-based stereo: Figural continuity and curvature,” in Proc. IEEE Conf. Comput. Vision Pattern Recog. ,(Maui, Hawaii), pp. 57–62, June 1991.

    Chapter  Google Scholar 

  10. R. E. Sampson, “3D range sensor-phase shift detection,” Computer ,no. 20, pp. 23–24, 1987.

    Google Scholar 

  11. R. Safaee-Rad, I. Tchoukanov, B. Benhabib, and K. C. Smith, “Accurate parameter estimation of quadratic curves from grey-level images,” CVGIP: Image Understanding ,vol. 54, pp. 259–274, September 1991.

    Article  MATH  Google Scholar 

  12. G. Täubin, “Estimation of planar curves, surfaces, and nonplanar space curves defined by implicit equations with applications to edge and range image segmentation,” IEEE Trans. PAMI ,vol. 13, pp. 1115–1138, November 1991.

    Article  Google Scholar 

  13. J. E. W. Mayhew and J. P. Frisby, “Psychophysical and computational studies towards a theory of human stereopsis,” Artif. Intell ,vol. 17, pp. 349–385, 1981.

    Article  Google Scholar 

  14. S. Pollard, J. Mayhew, and J. Frisby, “PMF: A stereo correspondence algorithm using a disparity gradient limit,” Perception ,vol. 14, pp. 449–470, 1985.

    Google Scholar 

  15. Z. Zhang, O. Faugeras, and N. Ayache, “Analysis of a sequence of stereo scenes containing multiple moving objects using rigidity constraints,” in Proc. Second Int’l Conf. Comput. Vision ,(Tampa, FL), pp. 177–186, December 1988.

    Google Scholar 

  16. O. Faugeras and M. Hebert, “The representation, recognition, and locating of 3D shapes from range data,” Int’l J. Robotics Res. ,vol. 5, no. 3, pp. 27–52, 1986.

    Article  Google Scholar 

  17. K. Arun, T. Huang, and S. Blostein, “Least-squares fitting of two 3-D point sets,” IEEE Trans. PAMI ,vol. 9, pp. 698–700, September 1987.

    Article  Google Scholar 

  18. M. W. Walker, L. Shao, and R. A. Volz, “Estimating 3-D location parameters using dual number quaternions,” CVGIP: Image Understanding ,vol. 54, pp. 358–367, November 1991.

    Article  MATH  Google Scholar 

  19. F. Preparata and M. Shamos, Computational Geometry, An Introduction. New York: Springer, Berlin, Heidelberg, 1986.

    Google Scholar 

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© 1992 Springer-Verlag London Limited

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Zhang, Z. (1992). On Local Matching of Free-Form Curves. In: Hogg, D., Boyle, R. (eds) BMVC92. Springer, London. https://doi.org/10.1007/978-1-4471-3201-1_36

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  • DOI: https://doi.org/10.1007/978-1-4471-3201-1_36

  • Publisher Name: Springer, London

  • Print ISBN: 978-3-540-19777-5

  • Online ISBN: 978-1-4471-3201-1

  • eBook Packages: Springer Book Archive

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