Skip to main content

Finding the N-cuts of Watershed Partitions for Image Segmentation

  • Conference paper
  • First Online:
Advances in Visual Computing (ISVC 2015)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 9474))

Included in the following conference series:

  • 2817 Accesses

Abstract

The normalized cut (N-cut) algorithm uses an algebraic graph optimization technique for image segmentation. Although N-cut produces good results for a variety of images, it has some weaknesses, such as high computational cost and sub-optimal partitions. In this paper we adopt the watershed transform to address these problems. Watershed can improve slow computing speed and produce closed object boundaries. However, watershed itself has the drawback of over-segmentation. Therefore, we propose to first apply watershed, then build a graph from the watershed regions, and find the N-cuts of the watershed region graph to improve segmentation accuracy. The objective of this paper is two-fold; the first goal is to reduce the complexity of this problem by optimizing region-based graph structures. The second goal is to validate the performance of the existing and proposed methods, and to test the hypothesis that region-based analysis reduces the complexity of optimization problem and improves segmentation accuracy.

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

Access this chapter

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

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

Similar content being viewed by others

References

  1. Gonzalez, R., Woods, R.: Digital Image Processing, 3rd edn. Prentice Hall, Upper Saddle River (2007)

    Google Scholar 

  2. Pham, D., Xu, C., Prince, J.: Current methods in medical image segmentation. Annu. Rev. Biomed. Eng. 2, 315–337 (2000)

    Article  Google Scholar 

  3. Zahn, C.: Graph-theoretical methods for detecting and describing gestalt clusters. IEEE Trans. Comput. C–20(1), 68–86 (1971)

    Article  Google Scholar 

  4. Digabel, H., Lantuejoul, C.: Iterative algorithms. In: Chermant, J.-L. (ed.) 2nd European Symposium on Quantitative Analysis of Microstructures in Material Science, Biology and Medicine, pp. 85–99 (1977)

    Google Scholar 

  5. Haris, K., Efstratiadis, S., Maglaveras, N., Katsaggelos, A.: Hybrid image segmentation using watersheds and fast region merging. IEEE Trans. Image Process. 7(12), 1684–1699 (1998)

    Article  Google Scholar 

  6. Salembier, P., Pardas, M.: Hierarchical morphological segmentation for image sequence coding. IEEE Trans. Image Process. 3(5), 639–651 (1994)

    Article  Google Scholar 

  7. Paul, R., Canagarajah, C., David, R.: Image segmentation using a texture gradient based watershed transform. IEEE Trans. Image Process. 12(12), 1618–1633 (2003)

    Article  MathSciNet  Google Scholar 

  8. O’Callaghan, R., Bull, D.: Combined morphological spectral unsupervised image segmentation. IEEE Trans. Image Process. 14(1), 49–62 (2005)

    Article  Google Scholar 

  9. Shi, J., Malik, J.: Normalized cuts and image segmentation. IEEE Trans. Pattern Anal. Mach. Intell. 22(8), 888–905 (2000)

    Article  Google Scholar 

  10. Ren, X., Malik, J.: Learning a classification model for segmentation. In: Proceedings of the 9th IEEE International Conference on Computer Vision, pp. 10–17 (2003)

    Google Scholar 

  11. Achanta, R., Shaji, A., Smith, K., Lucchi, A., Fua, P.: Sabine: slic superpixels compared to state-of-the-art superpixel methods. IEEE Trans. Pattern Anal. Mach. Intell. 34(11), 2274–2281 (2012)

    Article  Google Scholar 

  12. Luc, V., Pierre, S.: Watersheds in digital spaces: an efficient algorithm based on immersion simulations. IEEE Trans. Pattern Anal. Mach. Intell. 13(6), 583–598 (1991)

    Article  Google Scholar 

  13. Yaakov, T., Amir, A.: Automatic segmentation of moving objects in video sequence: a region labeling approach. IEEE Trans. Circuits Syst. Video Technol. 12(7), 597–612 (2002)

    Article  Google Scholar 

  14. Haifeng, X., Akmal, A., Mansur, R.: Automatic moving object extraction for content based applications. IEEE Trans. Circuits Syst. Video Technol. 14(6), 796–812 (2004)

    Article  Google Scholar 

  15. Demin, W.: Unsupervised video segmentation based on watersheds and temporal tracking. IEEE Trans. Circuits Syst. Video Technol. 8(5), 539–546 (1998)

    Article  Google Scholar 

  16. Makrogiannis, S., Economou, G., Fotopoulos, S., Bourbakis, N.: Segmentation of color images using multiscale clustering and graph theoretic region synthesis. IEEE Trans. Syst. Man Cybern. Part A Syst. Hum. 35(2), 224–238 (2005)

    Article  Google Scholar 

  17. Sonka, M., Hlavac, V., Boyle, R.: Image Processing, Analysis, and Machine Vision. Thomson Engineering, Toronto (2008)

    Google Scholar 

  18. http://www.eecs.berkeley.edu/Research/Projects/CS/vision/bsds/

  19. Yang, Y.H., Liu, J.: Multiresolution image segmentation. IEEE Trans. Patt. Anal. Mach. Intell. 16(7), 689–700 (1994)

    Article  Google Scholar 

Download references

Acknowledgments

This research was supported by the National Institute of General Medical Sciences of the National Institutes of Health (NIH) under Award Number SC3-GM113754 and by the Intramural Research Program of National Institute on Aging, NIH. We acknowledge the support of the Center for Research and Education in Optical Sciences and Applications (CREOSA) of Delaware State University funded by NSF CREST-8763. We also acknowledge the US Department of Defense through the grant “Center for Advanced Algorithms” (W911NF-11-2-0046) for their support.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Sokratis Makrogiannis .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer International Publishing Switzerland

About this paper

Cite this paper

Zhang, C., Makrogiannis, S. (2015). Finding the N-cuts of Watershed Partitions for Image Segmentation. In: Bebis, G., et al. Advances in Visual Computing. ISVC 2015. Lecture Notes in Computer Science(), vol 9474. Springer, Cham. https://doi.org/10.1007/978-3-319-27857-5_20

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-27857-5_20

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-27856-8

  • Online ISBN: 978-3-319-27857-5

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics