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Multiple Polyline to Polygon Matching

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Algorithms and Computation (ISAAC 2005)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3827))

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Abstract

We introduce a measure for computing the similarity between multiple polylines and a polygon, that can be computed in O(km 2 n 2) time with a straightforward dynamic programming algorithm. We then present a novel fast algorithm that runs in time O(kmn logmn). Here, m denotes the number of vertices in the polygon, and n is the total number of vertices in the k polylines that are matched against the polygon. The effectiveness of the similarity measure has been demonstrated in a part-based retrieval application with known ground-truth.

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References

  1. Ansari, N., Delp, E.J.: Partial shape recognition: A landmark-based approach. PAMI 12, 470–483 (1990)

    Google Scholar 

  2. Arkin, E., Chew, L., Huttenlocher, D., Kedem, K., Mitchell, J.: An efficiently computable metric for comparing polygonal shapes. PAMI 13, 209–215 (1991)

    Google Scholar 

  3. Asano, T., de Berg, M., Cheong, O., Everett, H., Haverkort, H.J., Katoh, N., Wolff, A.: Optimal spanners for axis-aligned rectangles. CGTA 30(1), 59–77 (2005)

    MATH  Google Scholar 

  4. Cohen, S.D., Guibas, L.J.: Partial matching of planar polylines under similarity transformations. In: Proc. SODA, pp. 777–786 (1997)

    Google Scholar 

  5. Huttenlocher, D., Klanderman, G., Rucklidge, W.: Comparing images using the hausdorff distance. PAMI 15, 850–863 (1993)

    Google Scholar 

  6. Latecki, L.J., Lakämper, R., Wolter, D.: Shape similarity and visual parts. In: Nyström, I., Sanniti di Baja, G., Svensson, S. (eds.) DGCI 2003. LNCS, vol. 2886, pp. 34–51. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  7. Liu, H.-C., Srinath, M.D.: Partial shape classification using contour matching in distance transformation. PAMI 12(11), 1072–1079 (1990)

    Google Scholar 

  8. Mokhtarian, F., Abbasi, S., Kittler, J.: Efficient and robust retrieval by shape content through curvature scale space. In: Workshop on Image DataBases and MultiMedia Search, pp. 35–42 (1996)

    Google Scholar 

  9. Navarro, G.: A guided tour to approximate string matching. ACM Computing Surveys 33(1), 31–88 (2001)

    Article  Google Scholar 

  10. Siddiqi, K., Shokoufandeh, A., Dickinson, S.J., Zucker, S.W.: Shock graphs and shape matching. IJCV 55(1), 13–32 (1999)

    Article  Google Scholar 

  11. Tanase, M.: Shape Deomposition and Retrieval. PhD thesis, Utrecht University, Department of Computer Science (February 2005)

    Google Scholar 

  12. Wolfson, H., Rigoutsos, I.: Geometric hashing: an overview. IEEE Computational Science & Engineering, 10–21 (October-December 1997)

    Google Scholar 

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© 2005 Springer-Verlag Berlin Heidelberg

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Tănase, M., Veltkamp, R.C., Haverkort, H. (2005). Multiple Polyline to Polygon Matching. In: Deng, X., Du, DZ. (eds) Algorithms and Computation. ISAAC 2005. Lecture Notes in Computer Science, vol 3827. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11602613_8

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  • DOI: https://doi.org/10.1007/11602613_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-30935-2

  • Online ISBN: 978-3-540-32426-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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