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A Graph-Based Clustering Method and Its Applications

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Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 4729))

Abstract

In this paper we present a graph-based clustering method particularly suited for dealing with data that do not come from a Gaussian or a spherical distribution. It can be used for detecting clusters of any size and shape, without the need of specifying neither the actual number of clusters nor other parameters.

The method has been tested on data coming from two different computer vision applications. A comparison with other three state-of-the-art algorithms was also provided, demonstrating the effectiveness of the proposed approach.

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References

  1. Jain, A.K., Murty, M.N., Flynn, P.J.: Data clustering: a review. ACM Computing Surveys 31(3), 264–323 (1999)

    Article  Google Scholar 

  2. Jain, A.K., Dubes, R.C.: Algorithms for clustering data. Prentice-Hall, Inc., Upper Saddle River, NJ, USA (1988)

    MATH  Google Scholar 

  3. Kohonen, T.: Self-organizing maps. Springer, Heidelberg (1995)

    Google Scholar 

  4. Juszczak, P.: Learning to recognise. A study on one-class classification and active learning, PhD thesis, Delft University of Technology (2006), ISBN: 978-90-9020684-4

    Google Scholar 

  5. Cheng, H.D., Cai, X., Chen, X., Hu, L., Lou, X.: Computer-aided detection and classification of microcalcifications in mammograms: a survey. Pattern Recognition 36, 2967–2991 (2003)

    Article  MATH  Google Scholar 

  6. Wu, Z., Leahy, R.: An Optimal Graph Theoretic Approach to Data Clustering: Theory and Its Application to Image Segmentation. IEEE Trans. on PAMI 15(11), 1101–1113 (1993)

    Google Scholar 

  7. Zahn, C.: Graph-theoretical methods for detecting and describing gestalt clusters. IEEE Transactions on Computers C-20, 68–86 (1971)

    Article  Google Scholar 

  8. Bezdek, J.C.: Pattern Recognition with Fuzzy Objective Function Algorithms. Plenum Press, New York (1981)

    MATH  Google Scholar 

  9. van Dongen, S.M.: Graph Clustering by Flow Simulation. PhD thesis, University of Utrecht (2000)

    Google Scholar 

  10. Kannan, R., Vampala, S., Vetta, A.: On Clustering: Good, Bad and Spectral. In: Foundations of Computer Science 2000, pp. 367–378 (2000)

    Google Scholar 

  11. Gaertler, M.: Clustering with spectral methods. Master’s thesis, Universitat Konstanz (2002)

    Google Scholar 

  12. De Santo, M., Percannella, G., Sansone, C., Vento, M.: Combining experts for anchorperson shot detection in news videos. Pattern Analysis and Applications 7(4), 447–460 (2005)

    Article  MathSciNet  Google Scholar 

  13. Horowitz, E., Sahni, S.: Fundamentals of Computer Algorithms. Computer Science Press (1978)

    Google Scholar 

  14. Brandes, U., Gaertler, M., Wagner, D.: Experiments on Graph Clustering Algorithms. In: Di Battista, G., Zwick, U. (eds.) ESA 2003. LNCS, vol. 2832, pp. 568–579. Springer, Heidelberg (2003)

    Google Scholar 

  15. Sajda, P., Spence, C., Pearson, J.: Learning contextual relationships in mammograms using a hierarchical pyramid neural network. IEEE Trans. on Medical Imaging 21(3), 239–250 (2002)

    Article  Google Scholar 

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Francesco Mele Giuliana Ramella Silvia Santillo Francesco Ventriglia

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© 2007 Springer-Verlag Berlin Heidelberg

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Foggia, P., Percannella, G., Sansone, C., Vento, M. (2007). A Graph-Based Clustering Method and Its Applications. In: Mele, F., Ramella, G., Santillo, S., Ventriglia, F. (eds) Advances in Brain, Vision, and Artificial Intelligence. BVAI 2007. Lecture Notes in Computer Science, vol 4729. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-75555-5_26

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  • DOI: https://doi.org/10.1007/978-3-540-75555-5_26

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-75554-8

  • Online ISBN: 978-3-540-75555-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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