Skip to main content

Classification Using Scale and Rotation Tolerant Shape Signatures from Convex Hulls

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 3687))

Abstract

A novel real-time approach for classification or identification of objects is presented here that is suitable for visual attention system of mobile robots. The proposed method constructs convex hulls for regions found in an image using a new external scanning technique. Then a cleaning step produces refined polygons that are in turn used for extracting shape signatures for the regions. In the training phase, shape signatures are collected from test data to find a mean signature for a particular object. A small database is created for all objects related to a specific context in which classification is to be performed. In classifying phase, signatures obtained from objects found in a given image are compared with those present in the database for identification. Nearest signature from the database to a given one is taken as identity of the later. Results have proved efficiency and accuracy of this method.

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

Buying options

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 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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Aho, A.V., Hopcroft, J.E., Ullman, J.D.: The Design and Analysis of Computer Algorithms. Addison - Wesley, London (1974)

    MATH  Google Scholar 

  2. Akl, S.G., Toussaint, G.T.: Efficient convex hull algorithms for pattern recognition applications. In: Proceedings of the Fourth International Joint Conference on Pattern Recognition, Kyoto, Japan, November 1978, pp. 483–488 (1978)

    Google Scholar 

  3. Binay, B., Toussaint, G.T.: Time-and-storage-efficient implementation of an optimal planar convex hull algorithm. Image and Vision Computing 1(3), 140–144 (1983)

    Article  Google Scholar 

  4. Bronnimann, H., Chan, T.M.: Space-Efficient Algorithms for Computing the Convex Hull of a Simple Polygonal Line in Linear Time. LNCS, pp. 161–171. Springer, Heidelberg (2004)

    Google Scholar 

  5. Backer, G., Mertsching, B., Bollmann, M.: Data- and Model-Driven Gaze Control for an Active-Vision System. IEEE Transactions on Pattern Analysis and Machine Intelligence 23(12), 1415–1429 (2001)

    Google Scholar 

  6. Bykat, A.: Convex Hull of Finite Set of Points in Two Dimensions. Information Processing Letters, 296–298 (1978)

    Google Scholar 

  7. Chen, W., Deng, X., Wada, K., Kawaguchi, K.: Constructing a Strongly Convex Superhull of Points. International Journal of Computational Geometry and Applications 11(5), 487–502 (2001)

    Article  MathSciNet  MATH  Google Scholar 

  8. Brunner, H.E.: Algorithms in Combinatorial Geometry. Monographs on Theoretical Computer Science. Springer, Germany (1987)

    Google Scholar 

  9. Eddy, W.: A New Convex Hull Algorithm for Planar Sets. ACM Transactions on Mathematical Software, 209–227 (1977)

    Google Scholar 

  10. Fernandez-Caballero, A., Lopez, M.T., Fernandez, M.A., Mira, J., Delgado, A.E., Lopez-Valles, J.M.: Accumulative Computation Method for Motion Features Extraction in Dynamic Selective Visual Attention. In: Paletta, L., Tsotsos, J.K., Rome, E., Humphreys, G.W. (eds.) WAPCV 2004. LNCS, vol. 3368, pp. 206–215. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  11. Flusser, J.: Affine Invariants of Convex Polygons. IEEE Transactions on Image Processing 11(9), 1117–1118 (2002)

    Article  MathSciNet  Google Scholar 

  12. Graham, R.L.: An Efficient Algorithm for Determining the Convex Hull of a Finite Planar Set. Information Processing Letters, 132–133 (1972)

    Google Scholar 

  13. Green, P.J., Silverman, B.W.: Constructing the Convex Hull of a Set of Points in the Plane. Computer Journal, Oxford Journals (1979)

    Google Scholar 

  14. Har-Peled, S.: An output sensitive algorithm for discrete convex hull. Computational Geometry 10(2), 125–138 (1998)

    Google Scholar 

  15. Heijmans, H.J.A.M., Tuzikov, A.V.: Similarity and Symmetry Measures for Convex Shapes Using Minkowski Addition

    Google Scholar 

  16. Itti, L., Koch, C.: A saliency based search mechanism for overt and covert shifts of visual attention. Vision Research 10(6), 1489–1506 (2000)

    Article  Google Scholar 

  17. Jarvis, R.A.: On the Identification of the Convex Hull of a Finite Set of Points in the Plane. Information Processing Letters, 18–21 (1973)

    Google Scholar 

  18. McMullen, P., Shephard, G.C.: Convex Polytopes and the Upper Bound Conjecture. Cambridge University Press, Cambridge (1971)

    MATH  Google Scholar 

  19. McQueen, M.M., Toussaint, G.T.: On the ultimate convex hull algorithm in practice. Pattern Recognition Letters 3, 29–34 (1985)

    Article  Google Scholar 

  20. Melkman, A.: Online Construction of the Convex Hull of a simple Polygon. Information Processing Letters, 11–12 (1987)

    Google Scholar 

  21. Nielsen, F., Yvinec, M.: An Output Sensitive Convex Hull Algorithm for Planar Objects. International Journal of Computational Geometry and App. 8(1), 39–65 (1998)

    Article  MathSciNet  MATH  Google Scholar 

  22. Parker, J.R.: Practical Computer Vision using C. John Wiley & Sons, USA (1994)

    Google Scholar 

  23. Ratscheck, H., Rokne, J.: Exact and Optimal Convex Hulls in 2D. International Journal of Computational Geometry and Applications 8(1), 39–65 (1998)

    Article  MathSciNet  Google Scholar 

  24. Rosenfeld, A.: Picture Processing by Computers. Academic Press, New York (1969)

    Google Scholar 

  25. Yang, Z., Cohen, F.S.: Image Registration and Object Recognition Using Affine Invariant and Convex Hulls. IEEE Trans. on Image Processing 8(7), 934–946 (1999)

    Article  MathSciNet  MATH  Google Scholar 

  26. Zunic, J., Rosin, P.L.: A new convexity measure for Polygons. Pattern Analysis and Machine Intelligence. IEEE Transactions 26(7), 923–934 (2004)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2005 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Aziz, M.Z., Mertsching, B., Munir, A. (2005). Classification Using Scale and Rotation Tolerant Shape Signatures from Convex Hulls. In: Singh, S., Singh, M., Apte, C., Perner, P. (eds) Pattern Recognition and Image Analysis. ICAPR 2005. Lecture Notes in Computer Science, vol 3687. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11552499_73

Download citation

  • DOI: https://doi.org/10.1007/11552499_73

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-28833-6

  • Online ISBN: 978-3-540-31999-3

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics