Skip to main content

Invariant Description of Pictorial Patterns via Generalized Auto-Correlation Functions

  • Conference paper
ASST ’87 6. Aachener Symposium für Signaltheorie

Part of the book series: Informatik-Fachberichte ((INFORMATIK,volume 153))

  • 97 Accesses

Abstract

A systematic approach to geometrically invariant pattern description is proposed. It is based on the definition of transformation invariants. The generalized auto-correlation function is introduced as a signal representation from which such invariant descriptors can be derived. Descriptors remaining invariant under all similarity transformations are briefly discussed.

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 54.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 69.99
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.

Similar content being viewed by others

References

  • Doyle W (1962) Operations useful for similarity-invariant pattern recognition. J ACM 9:259–267

    Article  MATH  Google Scholar 

  • Glünder H (1986) Neural computation of inner geometric pattern relations. Biol Cybern 55:239-151

    Article  MATH  Google Scholar 

  • Günder H, Kramer T (1986) Description of planar patterns by invariant features — an attempt towards the explanation of visual pattern recognition. In: Guiho G (ed) Proc of 8th ICPR. IEEE Comp Soc Press, Washington DC., pp 1090–1093

    Google Scholar 

  • Günder H, Gerhard A, Platzer H, Hofer-Alfeis J (1984) A geometrical-transformation-invariant pattern recognition concept incorporating elementary properties of neural circuits. In: Wein M (ed) Proceedings of the 7th International Conference on Pattern Recognition (ICPR). IEEE Comp Soc Press, Washington DC., pp 1376–1379

    Google Scholar 

  • Radig B, Schlieder C (1984) RS-automorphisms and symmetrical objects. In: Wein M (ed) Proceedings of the 7th International Conference on Pattern Recognition (ICPR). IEEE Comp Soc Press, Washington DC., pp 1138–1140

    Google Scholar 

  • Strube HW (1985) A generalization of correlation functions and the Wiener-Khinchin theorem. Signal Process 8:63–74

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1987 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Glünder, H. (1987). Invariant Description of Pictorial Patterns via Generalized Auto-Correlation Functions. In: Meyer-Ebrecht, D. (eds) ASST ’87 6. Aachener Symposium für Signaltheorie. Informatik-Fachberichte, vol 153. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-73015-3_15

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-73015-3_15

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-18401-0

  • Online ISBN: 978-3-642-73015-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics