Skip to main content

Categories and mathematical morphology

  • Part 3: Categorical Aspects From Topology
  • Conference paper
  • First Online:
Categorical Methods in Computer Science With Aspects from Topology

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 393))

  • 166 Accesses

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. E. Čech, Topological spaces, Čas.Pěst.Mat.Fys. 66 (1937), 225–264. (Czech), English transl. in Topological papers of E.Čech, Academia Prague 1968, 436–472

    Google Scholar 

  2. H.Heijmans, Mathematical morphology for complete lattices, Seminarium Math.Morfologie (1987). 18 pp.

    Google Scholar 

  3. H. Herrlich, M. Hušek, Galois connections. Mathematical foundations of programming semantics, Lect. Notes Comp.Sci 239 Springer-Verlag (Berlin, 1986) 122–134

    Google Scholar 

  4. H. Herrlich, G. Strecker, “Category theory (2nd ed.),” Heldermann Verlag, Berlin, 1979.

    Google Scholar 

  5. M. Hušek, Lattices of reflections and coreflections in continuous structures. Categorical Topology, Mannheim 1975, Lect.Notes Math 540, Springer-Verlag (Berlin, 1976) 404–424

    Google Scholar 

  6. V. Kannan, Reflective cum coreflective subcategories in topology, Math.Ann 195 (1972), 168–174.

    Google Scholar 

  7. G. Matheron, “Random sets and integral geometry,” John Wiley, New York, 1975.

    Google Scholar 

  8. J.Pelant,J.Reiterman, Atoms in uniformities and proximities. Proc.4th Prague Top.Symp.,Part B, Soc.Czech.Math.Phys.(Prague 1977)353–356

    Google Scholar 

  9. J.Roerdink, Morphology for grey-tone functions, Seminarium Math.Morfologie (1987). 8 pp.

    Google Scholar 

  10. J. Serra, “Image analysis and mathematical morphology,” Acad.Press, New York, 1982.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

H. Ehrig H. Herrlich H. -J. Kreowski G. Preuß

Rights and permissions

Reprints and permissions

Copyright information

© 1989 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Hušek, M. (1989). Categories and mathematical morphology. In: Ehrig, H., Herrlich, H., Kreowski, H.J., Preuß, G. (eds) Categorical Methods in Computer Science With Aspects from Topology. Lecture Notes in Computer Science, vol 393. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-51722-7_18

Download citation

  • DOI: https://doi.org/10.1007/3-540-51722-7_18

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51722-1

  • Online ISBN: 978-3-540-46787-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics