Skip to main content

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 86))

Abstract

We describe a morphological image analysis method to characterize images in terms of geometry and topology. We present a method to compute the morphological properties of the objects building up the image and apply the method to triply periodic minimal surfaces and to images taken from polymer chemistry.

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 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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. H. Hadwiger: Vorlesungen über Inhalt, Oberfläche und Isoperimetrie (Springer Verlag, Berlin, 1957)

    MATH  Google Scholar 

  2. D. Stoyan, W.S. Kendall, J. Mecke: Stochastic Geometry and its Applications (Akademie Verlag, Berlin, 1989)

    Google Scholar 

  3. K.R. Mecke: Int. J. Mod. Phys. B12, 861 (1998)

    MathSciNet  ADS  Google Scholar 

  4. A. Rosenfeld, A.C. Kak: Digital Picture Processing, (Academic Press, New York, 1982)

    Google Scholar 

  5. K. Michielsen and H. De Raedt: preprint

    Google Scholar 

  6. S. Hyde, S. Andersson, K. Larsson, Z. Blum, T. Landh, S. Lidin, B.W. Ninham: The Language of Shape; The role of curvature in condensed matter: Physics, Chemistry and Biology (Elsevier, Amsterdam, 1997)

    Google Scholar 

  7. J. Klinowski, A.L. Mackay, H. Terrones: Phil. Trans. R. Soc. Lond. A354, 1975 (1996)

    Article  ADS  Google Scholar 

  8. W. Fischer, E. Koch: Act. Cryst. A45, 726 (1989)

    Article  MathSciNet  Google Scholar 

  9. K. Grosse-Brauckmann: J. Coll. Interf. Sci. 187, 418 (1997)

    Article  Google Scholar 

  10. H.A. Schwarz: Gesammelte Mathematische Abhandlungen, (Springer, Berlin, 1890)

    MATH  Google Scholar 

  11. A.H. Schoen: Infinite periodic minimal surfaces without self-intersections, NASA Technical NOTE No. D-5541 (1970)

    Google Scholar 

  12. A.L. Mackay: Proc. R. Soc. Lond. A442, 47 (1993)

    MathSciNet  ADS  Google Scholar 

  13. C.A. Lambert, L.H. Radzilowski, E.L. Thomas: Phil. Trans. R. Soc. Lond. A354, 2009 (1996)

    Article  ADS  Google Scholar 

  14. A. Ciach, R. Holyst: J. Chem. Phys. 110, 3207 (1999)

    Article  ADS  Google Scholar 

  15. W.T. Góźdź and R. Holyst: Phys. Rev. E54, 5012 (1996)

    ADS  Google Scholar 

  16. S.T. Hyde: Langmuir 13, 842 (1997)

    Article  Google Scholar 

  17. F.S. Bates, G.H. Fredrickson: Physics Today 52, 32 (1999)

    Article  Google Scholar 

  18. T. Kawakatsu, R. Hasegawa, M. Doi: Int. J. Mod. Phys. C10, 1531 (2000)

    Google Scholar 

  19. T. Kawakatsu et al.: in preparation

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2001 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Michielsen, K., De Raedt, H., Kawakatsu, T. (2001). Morphological Image Analysis. In: Landau, D.P., Lewis, S.P., Schüttler, HB. (eds) Computer Simulation Studies in Condensed-Matter Physics XIII. Springer Proceedings in Physics, vol 86. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-56577-9_10

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-56577-9_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-41190-1

  • Online ISBN: 978-3-642-56577-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics