Skip to main content

Identification and recognition through shape in complex systems

  • Conference paper
  • First Online:
Computer Aided Systems Theory — EUROCAST '95 (EUROCAST 1995)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1030))

Included in the following conference series:

Abstract

Categorical modelling is a useful tool in the study of systems. The basic idea of categorical shape theory is that, in any approximating situation, the approximations are what encode the only information that the system can analyse. Such approximations are very important in using time-varying complex systems to model system developments. Within this context, basic properties of categorical shape theory are introduced in order to better understand system approximation and construction.

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

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. C Alexander, S Ishikawa, M Silverstein: A Pattern Language, Oxford University Press, 1977.

    Google Scholar 

  2. H Appelgate, M Tierney: “Categories with Models”, Lecture Notes in Mathematics, 80, Springer-Verlag, 1969.

    Google Scholar 

  3. K Borsuk: Theory of Shape, Monografie Matematyczne, 59, PWN Warsaw, 1975.

    Google Scholar 

  4. J-M Cordier, T Porter: Shape Theory: categorical approximation methods, Ellis Horwood Ltd., 1990.

    Google Scholar 

  5. A Deleanu, P Hilton: “On the Categorical Shape of a Functor”, Fundamenta Mathematicae, XCVII, 3, 1977.

    Google Scholar 

  6. S Ginali, J Goguen: “A Categorical Approach to General Systems”, in Applied General Systems Research: recent developments and trends (ed. GJ Klir), Plenum Press, 1978.

    Google Scholar 

  7. E Gomma, R Helm, R Johnson, J Vlissides: Design Patterns: Elements of Reusable Object-Oriented Software, Addison-Wesley Publ. Co., 1995.

    Google Scholar 

  8. M Husek: “Introduction to Categorical Shape Theory, with Applications in Mathematical Morphology”, in Shape in Picture (ed. O Ying-Lei, A Toet, D Foster, HJAM Heijmans, P Meer), Springer-Verlag, 1993.

    Google Scholar 

  9. S MacLane: Categories for the Working Mathematician, Springer-Verlag, 1971.

    Google Scholar 

  10. N Martí-Oliet, J Meseguer: “From Petri Nets to Linear Logic”, Math. Struct. in Comp. Science, 1, 1991.

    Google Scholar 

  11. T Porter: “Can Categorical Shape Theory Handle Grey Level Images?”, Shape in Picture (ed. O Ying-Lei, A Toet, D Foster, HJAM Heijmans, P Meer), Springer-Verlag, 1993.

    Google Scholar 

  12. C Rattray, D Price: “Sketching an Evolutionary Hierarchical Framework for Knowledge-Based Systems Design”, EUROCAST'89, LNCS, 410, Springer-Verlag, 1990.

    Google Scholar 

  13. C Rattray, M Marsden: “Object Identification and Retrieval in a CAST Library”, EUROCAST'91, LNCS, 585, Springer-Verlag, 1992.

    Google Scholar 

  14. C Rattray: “The Shape of Complex Systems”, EUROCAST'93, LNCS, 763, Springer-Verlag, 1994.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Franz Pichler Roberto Moreno Díaz Rudolf Albrecht

Rights and permissions

Reprints and permissions

Copyright information

© 1996 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Rattray, C. (1996). Identification and recognition through shape in complex systems. In: Pichler, F., Díaz, R.M., Albrecht, R. (eds) Computer Aided Systems Theory — EUROCAST '95. EUROCAST 1995. Lecture Notes in Computer Science, vol 1030. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0034747

Download citation

  • DOI: https://doi.org/10.1007/BFb0034747

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-60748-9

  • Online ISBN: 978-3-540-49358-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics