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Curve Tracking by Hypothesis Propagation and Voting-Based Verification

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Book cover Combinatorial Image Analysis (IWCIA 2004)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 3322))

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Abstract

We propose a robust and efficient algorithm for curve tracking in a sequence of binary images. First it verifies the presence of a curve by votes, whose values indicate the number of the points on the curve, thus being able to robustly detect curves against outlier and occlusion. Furthermore, we introduce a procedure for preventing redundant verification by determining equivalence curves in the digital space to reduce the time complexity. Second it propagates the distribution which represents the presence of the curve to the successive image of a given sequence. This temporal propagation enables to focus on the potential region where the curves detected at time t – 1 are likely to appear at time t. As a result, the time complexity does not depend on the dimension of the curve to be detected. To evaluate the performance, we use three noisy image sequences, consisting of 90 frames with 320 × 240 pixels. The results shows that the algorithm successfully tracks the target even in noisy or cluttered binary images.

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References

  1. Duda, R.O., Hart, P.E.: Use of the Hough transformation to detect lines and curves in pictures. Comm. ACM 15(1), 11–15 (1972)

    Article  Google Scholar 

  2. Fischer, M.A., Bolles, R.C.: Random sample consensus: a paradigm for model fitting with applications to image analysis and automated cartography. Comm. ACM 24(6), 381–395 (1981)

    Article  MathSciNet  Google Scholar 

  3. Princen, J.P., Illingworth, J., Kittler, J.V.: A Formal Definition of the Hough Transform: Properties and Relationships. J. Mathematical Imaging and Vision 1, 153–168 (1992)

    Article  Google Scholar 

  4. A Linear Algorithm for Incremental Digital Display of Circular Arcs. Comm. ACM 20(2), 100–106 (1977)

    Google Scholar 

  5. Xu, L., Oja, E.: Randomized Hough Transform: Basic Mechanisms, Algorithms, and Computational Complexities. CVGIP: Image Understanding 57(2), 131–154 (1993)

    Article  Google Scholar 

  6. Bergen, J.R., Shvaytser, H.: Probabilistic Algorithm for Computing Hough Transform. Journal of Algorithms 12(4), 639–656 (1991)

    Article  MATH  MathSciNet  Google Scholar 

  7. Kiryati, N., Eldar, Y., Bruckstein, M.: A Probabilistic Hough Transform. Pattern Recognition 24(4), 303–316 (1991)

    Article  MathSciNet  Google Scholar 

  8. Chum, O., Matas, J.: Randomized RANSAC with T d,d test. In: Proc. the British Machine Vision Conference, vol. 2, pp. 448–457 (2002)

    Google Scholar 

  9. Rosenfeld, A., Ornelas Jr., J., Hung, Y.: Hough Transform Algorithms for Mesh-Connected SIMD Parallel Processors. Computer Vision, Graphics, and Image Processing 41(3), 293–305 (1988)

    Article  Google Scholar 

  10. Li, H., Lavin, M.A., Master, R.L.: Fast Hough transform: a hierarchical approach. Computer Vision, Graphics, and Image Processing 36, 139–161 (1986)

    Article  Google Scholar 

  11. Illingworth, J., Kittler, J.: The adaptive Hough transform. IEEE Trans. Pattern Analysis and Machine Intelligence 9(5), 690–698 (1987)

    Article  Google Scholar 

  12. Torr, P.H.S., Davidson, C.: IMPSAC: synthesis of importance sampling and random sample consensus. IEEE Trans. Pattern Analysis and Machine Intelligence 25(3), 354–364

    Google Scholar 

  13. Liu, J.S., Chen, R.: Sequential Monte Carlo methods for dynamic systems. J. the American Statistical Association 93, 1033–1044 (1998)

    Google Scholar 

  14. Doucet, A., Godill, S., Andrieu, C.: On Sequential Monte Carlo Sampling Methods for Bayesian Filtering. Statistics and Computing 10(3), 197–208 (2000)

    Article  Google Scholar 

  15. Doucet, A., de Freitas, N., Gordon, N.J.: Sequential Monte Carlo Methods in Practice. Springer, Heidelberg (2001)

    MATH  Google Scholar 

  16. Gordon, N.J., Salmond, D.J., Smith, A.F.M.: Novel approach to nonlinear/non-Gaussian Bayesian state estimation. IEE Proc.–F 140(2), 107–113 (1993)

    Google Scholar 

  17. Isard, M., Black, A.: Condensation – Conditional density propagation for visual tracking. Int. J. Computer Vision 29(1), 5–28 (1998)

    Article  Google Scholar 

  18. Arulampalam, M.S., Maskell, S., Gordon, N., Clapp, T.: A Tutorial on Particle Filters for Online Nonlinear/Non-Gaussian Bayesian Tracking. IEEE Trans. Signal Processing 50(2), 174–188

    Google Scholar 

  19. Kitagawa, G.: Monte Carlo filter and smoother for non-Gaussian nonlinear state space models. J. Comput. Graph. Stat. 5(1), 1–25 (1996)

    Article  MathSciNet  Google Scholar 

  20. Press, W.H., Teukolsky, S.A., Vetterling, W.T.: Numerical Recipes in C: The Art of Scientific Computing. Cambridge Univ. Press, Cambridge (1993)

    Google Scholar 

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© 2004 Springer-Verlag Berlin Heidelberg

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Kawamoto, K., Hirota, K. (2004). Curve Tracking by Hypothesis Propagation and Voting-Based Verification. In: Klette, R., Žunić, J. (eds) Combinatorial Image Analysis. IWCIA 2004. Lecture Notes in Computer Science, vol 3322. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-30503-3_12

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  • DOI: https://doi.org/10.1007/978-3-540-30503-3_12

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-23942-0

  • Online ISBN: 978-3-540-30503-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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