Skip to main content

Error Based Nyström Spectral Clustering Image Segmentation

  • Conference paper
  • First Online:
Intelligent Computing Theories and Application (ICIC 2016)

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 9772))

Included in the following conference series:

  • 1807 Accesses

Abstract

Spectral clustering algorithm has been a research hotspot in the field of image processing, recent years. Spectral clustering based on the similarity of data while structure of similarity matrix is complex. The calculation of spectral clustering can be very time-consuming, especially in the process of Eigen-decomposition for Laplacian matrix. Nyström extension method could obtain the approximation solution of eigenvectors by using a small amount of sample information, reduce the computational complexity of spectral clustering effectively. Based on the features of image and the error analysis of Nyström a new sampling method is presented. Using Uniform Sampling generates a set of cluster centers at first; then, minimize the error between data and centers by iteration; finally, typical experiment results and analysis are given.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Zhang, Y.: A survey on transition region-based techniques for image segmentation. J. Comput. Aided Des. Comput. Graph. 27(3), 379–381 (2015)

    Google Scholar 

  2. Zhu, Z., Wang, L.: Initialization approach for fuzzy C-means algorithm for color image segmentation. Appl. Res. Comput. 32(4), 1257–1260 (2015)

    Google Scholar 

  3. Shi, J., Maiik, J.: Normalized cuts and image segmentation. IEEE Trans. Pattern Anal. Mach. Intell. 22(8), 888–905 (2002)

    Google Scholar 

  4. Belkin, M.: Laplacian eigen maps and spectral techniques for embedding and clustering. In: Dietterich, T.G., Becker, S., Ghahramani, Z. (eds.) Advances in Neural Information Processing Systems, vol. 14, pp. 585–591. MIT Press, Cambridge (2002)

    Google Scholar 

  5. Ng, A.Y., Jordan, M.I., Weiss, Y.: On spectral clustering: analysis and an algorithm. In: Advances in Neural Information Processing Systems. MIT Press, Cambridge (2002)

    Google Scholar 

  6. Lu, Z., Carreira-Perpinan, M.A.: Constrained spectral clustering through affinity propagation. In: IEEE Conference on Computer Vision and Pattern Recognition, pp. 1–8(2008)

    Google Scholar 

  7. Fowlkes, C., Belongie, S., Chung, F., Malik, J.: Spectral grouping using Nyström extension. IEEE Trans. Pattern Anal. Mach. Intell. 26(2), 214–225 (2004)

    Article  MATH  Google Scholar 

  8. Zhang, K., Tsang, I.W., Kwok, J.T.: Improved Nyström low-rank approximation and error analysis. In: Proceedings of the 25th International Conference on Machine learning, Helsinki, pp. 1232–1239 (2008)

    Google Scholar 

  9. Zhang, K., Kwok, J.T.: Clustered Nyström method for large scale manifold learning and dimension reduction. JEEE Trans. Neural Netw. 21(10), 1576–1587 (2010)

    Article  Google Scholar 

  10. Wang, S., Gu, J., Chen, F.: Clustering high-dimensional data via spectral clustering using collaborative representation coefficients. In: Huang, D.-S., Jo, K.-H., Hussain, A. (eds.) ICIC 2015. LNCS, vol. 9226, pp. 248–258. Springer, Heidelberg (2015)

    Chapter  Google Scholar 

  11. Chen, Z., Qiu, Z., Li, J., et al.: Two-derivative Runge-Kutta-Nyström methods for second-order ordinary differential equations. Numer. Algorithms 70(4), 897–927 (2015)

    Article  MathSciNet  MATH  Google Scholar 

Download references

Acknowledgement

Project supported by the Natural Science Foundation of China (61362034).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Li Bohao .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer International Publishing Switzerland

About this paper

Cite this paper

Zhongmin, L., Bohao, L., Zhanming, L., Wenjin, H. (2016). Error Based Nyström Spectral Clustering Image Segmentation. In: Huang, DS., Jo, KH. (eds) Intelligent Computing Theories and Application. ICIC 2016. Lecture Notes in Computer Science(), vol 9772. Springer, Cham. https://doi.org/10.1007/978-3-319-42294-7_49

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-42294-7_49

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-42293-0

  • Online ISBN: 978-3-319-42294-7

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics