Skip to main content

Shape Recognition Under Affine Distortions

  • Chapter
Visual Form

Abstract

An algorithm for the recognition of planar shapes under affine distortion is presented. Shape description is based on the use of semi-differential invariants, combining coordinates and derivatives of contour points. The philosophy behind the use of these invariants is to find a tradeoff between two extreme strategies currently used in the literature: (invariant) feature extraction methods, involving high order derivatives, and invariant coordinate descriptions, leading to the correspondence problem of reference points. Accuracy is obtained due to the use of B-spline approximations for the descriptions of coordinates and derivatives of the contours. The recognition results on a set of 12 different objects 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 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover 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. H. Bartels, C. Beatty, and A. Barsky, An introduction to splines for use in computer graphics and geometric modeling, Morgan Kaufmann, Los Altos, CA, 1987.

    MATH  Google Scholar 

  2. M. Costa, R. Haralick, T. Phillips, and L. Shapiro, Optimal affine-invariant point matching, SPIE Vol. 1095, Applications of Artificial Intelligence VII, pp.515–530, 1989.

    Article  Google Scholar 

  3. D. Cyganski, J. Orr, T. Cott, and R. Dodson, Development, implementation, testing, and application of an affine transform invariant curvature function, Proc. 1st Int. Conf. on Computer Vision, pp.496-500, 1987.

    Google Scholar 

  4. H. Guggenheimer, Differential Geometry, Dover, NY, 1977.

    MATH  Google Scholar 

  5. Y. Lamdan, J. Schwartz, and H. Wolfson, On recognition of 3-D ojects from 2-D images, Proc. IEEE Internat. Conf. on Robotics and Automation, 1407-1413, 1988.

    Google Scholar 

  6. H. Mannaert, and A. Oosterlinck, A Recursive Self-Organizing Network for Object Recognition, Proc. Int. Joint Conf. on Neural Networks, pp. II 405-408, 1990.

    Google Scholar 

  7. S. Ullman, Aligning pictorial descriptions: an approach to object recognition, Cognition 32, pp. 193–254, 1989.

    Article  Google Scholar 

  8. L. Van Gool, P. Kempenaers, and A. Oosterlinck, Recognition and semi-differential invariants, Proc. IEEE Internat. Conf. on Computer Vision and Pattern Recognition, Hawaï, 1991.

    Google Scholar 

  9. L. Van Gool, T. Moons, E. Pauwels, and A. Oosterlinck, Semi-differential invariants, DARPA/ESPRIT Workshop on Applications of Invariants in Computer Vision, pp. 359-386, 1991.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1992 Springer Science+Business Media New York

About this chapter

Cite this chapter

Kempenaers, P., Van Gool, L., Oosterlinck, A. (1992). Shape Recognition Under Affine Distortions. In: Arcelli, C., Cordella, L.P., di Baja, G.S. (eds) Visual Form. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-0715-8_32

Download citation

  • DOI: https://doi.org/10.1007/978-1-4899-0715-8_32

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4899-0717-2

  • Online ISBN: 978-1-4899-0715-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics