Dual Graph Contraction with LEDA

  • Conference paper
Graph Based Representations in Pattern Recognition

Part of the book series: Computing Supplement ((COMPUTING,volume 12))

Abstract

Graphs are useful tools for modeling problems that occur in a variety of fields. In machine vision graph based solutions have been successfully applied to many image processing problems e.g. quad trees for image compression and region adjacency graphs for segmentation. The application of graphs to machine vision problems poses special problems due to the underlying size of the image e.g. a graph representing the base level of a 512x512 image has over 200.000 nodes. The large size of the graphs make issues of both space and time complexity important when designing algorithms for machine vision problems. We present an implementation under LEDA (Library of Efficient Data structures and Algorithms) of DGC (Dual Graph Contraction) for irregular pyramids. In the first section we present the theory behind DGC, in the second an algorithmic specification is derived, and in the third an implementation under LEDA is given followed by a short conclusion.

This work was supported by the Austrian Science Foundation under grant number S7002-MAT.

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

Access this chapter

Subscribe and save

Springer+ Basic
EUR 32.99 /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
EUR 29.95
Price includes VAT (Germany)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
EUR 42.79
Price includes VAT (Germany)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
EUR 53.49
Price includes VAT (Germany)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free ship** worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

References

  1. Bister, M., Cornells, J., Rosenfeld, A.: A critical view of pyramid segmentation algorithms. Pattern Rec. Lett. 11, 605–617 (1990).

    Article  MATH  Google Scholar 

  2. Jolion, J.-M., Montanvert, A.: The adaptive pyramid, a framework for 2D image analysis. Cornput. Vision Graphics Image Proc. Image Underst. 55, 339–348 (1992).

    MATH  Google Scholar 

  3. Kropatsch, W. G.: Building irregular pyramids by dual graph contraction. IEE Proc. Vision Image Signal Proc. 142, 366–374 (1995).

    Article  Google Scholar 

  4. Kropatsch, W. G.: Equivalent contraction kernels and the domain of dual irregular pyramids. Technical Report PRIP-TR-42, Institute f. Automation 183/2, Pattern Recognition and Image Processing, TU Wien, Austria, 1995.

    Google Scholar 

  5. Kropatsch, W. G., Ben Yacoub, S.: A revision of pyramid segmentation. In: 13th International Conference on Pattern Recognition, volume II (Kropatsch, W. G., ed.), pp. 477–481. Washington: IEEE, 1996.

    Chapter  Google Scholar 

  6. Macho, H., Kropatsch, W. G.: Finding connected components with dual irregular pyramids. In: Visual modules, Proc. of 19th ÖAGM and 1st SDVR Workshop (Solina, F., Kropatsch, W. G., eds.), pp. 313–321. OCG-Schriftenreihe, Österr. Arbeitsgemeinschaft für Mustererkennung, R. Oldenburg, 1995.

    Google Scholar 

  7. Mathieu, C., Magnin, I. E., Baldy-Porcher, C.: Optimal stochastic pyramid: segmentation of MRI data. Proc. Med. Imaging VI: Image Proc. SPIE 1652, 14–22 (1992).

    Google Scholar 

  8. Meer, P.: Stochastic image pyramids. Comput. Vision, Graphics, Image Proc. 45, 269–294 (1989).

    Article  Google Scholar 

  9. Mehlhorn, K., Naher, S.: Leda, a platform for combinatorial and geometric computing. Comm. ACM 38, 96–102(1995).

    Article  Google Scholar 

  10. Pavlidis, Th.: Structural pattern recognition. New York: Springer, 1977.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1998 Springer-Verlag Wien

About this paper

Cite this paper

Kropatsch, W.G., Burge, M., Ben Yacoub, S., Selmaoui, N. (1998). Dual Graph Contraction with LEDA. In: Jolion, JM., Kropatsch, W.G. (eds) Graph Based Representations in Pattern Recognition. Computing Supplement, vol 12. Springer, Vienna. https://doi.org/10.1007/978-3-7091-6487-7_11

Download citation

  • DOI: https://doi.org/10.1007/978-3-7091-6487-7_11

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-83121-2

  • Online ISBN: 978-3-7091-6487-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Navigation