Skip to main content

Graph Based Shapes Representation and Recognition

  • Conference paper
Graph-Based Representations in Pattern Recognition (GbRPR 2007)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 4538))

Abstract

In this paper, we propose to represent shapes by graphs. Based on graphic primitives extracted from the binary images, attributed relational graphs were generated. Thus, the nodes of the graph represent shape primitives like vectors and quadrilaterals while arcs describing the mutual primitives relations. To be invariant to transformations such as rotation and scaling, relative geometric features extracted from primitives are associated to nodes and edges as attributes. Concerning graph matching, due to the fact of NP-completeness of graph-subgraph isomorphism, a considerable attention is given to different strategies of inexact graph matching. We also present a new scoring function to compute a similarity score between two graphs, using the numerical values associated to the nodes and edges of the graphs. The adaptation of a greedy graph matching algorithm with the new scoring function demonstrates significant performance improvements over traditional exhaustive searches of graph matching.

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 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Bunke, H.: Error Correcting Graph Matching: On the Influence of the Underlying Cost Function. IEEE transactions on Pattern Analysis and Machine Intelligence 21, 917–922 (1999)

    Article  Google Scholar 

  2. Lam, L., Lee, S.W., Suen, C.Y.: Thinning Methodologies-A Comprehensive Survey. IEEE Transactions on Pattern Analysis and Machine Intelligence 14, 869–885 (1992)

    Article  Google Scholar 

  3. Ruberto, C.D., Rodriguez, G., Casta, L.: Recognition of shapes by morphological attributed relational graphs (2002), citeseer.ist.psu.edu/535355.html

  4. Cordella, L.P., Vento, M.: Symbol Recognition in Documents: A Collection of Techniques. International Journal of Document Analysis and Recognition 3, 73–88 (2000)

    Article  Google Scholar 

  5. Bunke, H.: Recent developments in graph matching. In: The Proc. of 15th Int. Conf. Pattern Recognition, vol. 2, pp. 117–124 ( 2000)

    Google Scholar 

  6. Mehlhorn, K.: Graph Algorithms and NP-Completeness, vol. 2. Springer-Verlag, Berlin Heidelberg (1984)

    Google Scholar 

  7. Dickinson, P.J., Bunke, H., Dadej, A., Kraetzl, M.: On Graphs with Unique Node Labels. In: Hancock, E.R., Vento, M. (eds.) GbRPR 2003. LNCS, vol. 2726, pp. 13–23. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  8. Ullman, J.R.: An Algorithm for Subgraph Isomorphism. Journal of the Association for Computing Machinery 23, 31–42 (1976)

    MATH  MathSciNet  Google Scholar 

  9. Schmidt, D.C., Druffel, L.E.: A Fast Backtracking Algorithm to Test Directed Graphs for Isomorphism Using Distance Matrices. Journal of the Association for Computing Machinery 23, 433–445 (1976)

    MATH  MathSciNet  Google Scholar 

  10. McKay, B.D.: Practical graph isomorphism. Congr. Numerantium 30, 45–87 (1981)

    MathSciNet  Google Scholar 

  11. Cordella, L.P., Foggia, P., Sansone, C., Vento, M.: An improved algorithm for matching large graphs. In: Proc. 3rd IAPR –TC15 Workshop Graph Based Representations in Pattern Recognition, pp. 149-159 ( 2001)

    Google Scholar 

  12. Foggia, P., Sansone, C., Vento, M.: A performance comparison of five algorithms for graph isomorphism. In: The 3rd IAPR-TC15 Workshop on Graph-Based Representations in Pattern Recognition, Cuen, 188–199 ( 2001)

    Google Scholar 

  13. Conte, D., Foggia, P., Sansone, C., Vento, M.: Thirty Years of Graph Matching in Pattern Recognition. The. International Journal of Pattern Recognition and Artificial Intelligence 18, 265–298 (2004)

    Article  Google Scholar 

  14. Wall, K., Danielsson, P.: A fast sequential method for polygonal approximation of digitized curves. Computer Vision, Graphics and Image Processing 28, 220–221 (1984)

    Article  Google Scholar 

  15. Ramel, J.Y., Vincent, N., Emptoz, H.: A structural representation for understanding line - drawing images. International Journal on Document Analysis and Recognition 3, 58–66 (2000)

    Article  Google Scholar 

  16. Champin, P.A., Solnon, C.: Measuring the Similarity of Labelled Graphs. In: Proceedings of the 5th International Conference on Case-Based, pp. 80–95. Springer, Heidelberg (2003)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Francisco Escolano Mario Vento

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Qureshi, R.J., Ramel, JY., Cardot, H. (2007). Graph Based Shapes Representation and Recognition. In: Escolano, F., Vento, M. (eds) Graph-Based Representations in Pattern Recognition. GbRPR 2007. Lecture Notes in Computer Science, vol 4538. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72903-7_5

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-72903-7_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-72902-0

  • Online ISBN: 978-3-540-72903-7

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics