Skip to main content

Interval Based Morphological Colour Image Processing

  • Conference paper
Numerical Methods and Applications (NMA 2006)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4310))

Included in the following conference series:

Abstract

In image analysis and pattern recognition fuzzy sets play the role of a good model for segmentation and classifications tasks when the regions and the classes cannot be strictly defined. Fuzzy morphology has been shown to be a very eficient tool in processing and segmentation of grey-scale images. In this work we show that using interval modelling we can apply efficiently fuzzy morphological operations to colour images. In this case intervals help us to avoid the problem of lack of total ordering in multidimensional Euclidean spaces, in particular in the three dimensional RGB colour space.

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. Bloch, I., Maître, H.: Fuzzy mathematical morphologies: A comparative study. Pattern Recognition 28(9), 1341–1387 (1995)

    Article  MathSciNet  Google Scholar 

  2. Hanbury, A., Serra, J.: Mathematical morphology in the HLS colour space. In: Cootes, T., Taylor, C. (eds.) Proceedings of the 12th British Machine Vision Conference, Proceedings of the 12th British Machine Vision Conference, September 2001, pp. 451–460. Springer, Heidelberg (2001)

    Google Scholar 

  3. Hanbury, A., Serra, J.: Mathematical morphology in the CIELAB Space. Journal of Image Analysis and Stereology 21, 201–206 (2002)

    MathSciNet  Google Scholar 

  4. Heijmans, H.J.A.M.: Morphological image operators. Academic Press, Boston (1994)

    MATH  Google Scholar 

  5. Deng, T.-Q., Heijmans, H.J.A.M.: Grey-scale morphology based on fuzzy logic. CWI Report PNA-R0012, Amsterdam (October 2000)

    Google Scholar 

  6. Louverdis, G., Andreadis, I., Tsalides, P.: New fuzzy model for morphological colour image processing. IEE Proceedings – Vision, Image and Signal Processing 149(3), 129–139 (2002)

    Article  Google Scholar 

  7. Nguyen, H.T., Walker, E.A.: A first course in fuzzy logic, 2nd edn. CRC Press, Boca Raton (2000)

    MATH  Google Scholar 

  8. Popov, A.T.: Convexity indicators based on fuzzy morphology. Pattern Recognition Letters 18(3), 259–267 (1997)

    Article  Google Scholar 

  9. Popov, A.T.: Aproximate connectivity and mathematical morphology. In: Goutsias, J., Vincent, L., Bloomberg, D.S. (eds.) Mathematical Morphology and its Applications to Image and Signal Processing, pp. 149–158. Kluwer Academic Publishers, Dordrecht (2000)

    Google Scholar 

  10. Rogers, D.F.: Procedural elements for computer graphics, 2nd edn. WCB McGraw - Hill, New York (1998)

    Google Scholar 

  11. Serra, J.: Image analysis and mathematical morphology. Academic Press, London (1982)

    MATH  Google Scholar 

  12. Serra, J.: Mathematical morphology for complete lattices. In: Serra, J. (ed.) Image analysis and mathematical morphology vol. 2, Academic Press, London (1988)

    Google Scholar 

  13. Soille, P.: Morphological image analysis, 2nd edn. Springer, Berlin (2002)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Todor Boyanov Stefka Dimova Krassimir Georgiev Geno Nikolov

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer Berlin Heidelberg

About this paper

Cite this paper

Popov, A.T. (2007). Interval Based Morphological Colour Image Processing. In: Boyanov, T., Dimova, S., Georgiev, K., Nikolov, G. (eds) Numerical Methods and Applications. NMA 2006. Lecture Notes in Computer Science, vol 4310. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-70942-8_40

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-70942-8_40

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-70940-4

  • Online ISBN: 978-3-540-70942-8

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics