Skip to main content

Fuzzy Digital Topology

  • Chapter
Fuzzy Mathematics

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 20))

  • 688 Accesses

Abstract

Digital picture processing deals with image compression or enhancement and image analysis. In image compression or enhancement, the output desired is a picture which is an approximation or improvement of the input picture. In image analysis, the desired output is a description of the input picture. In digital pictures, geometric considerations of parts of the picture are important in analysis and description processes.

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 119.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 159.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 159.99
Price excludes VAT (USA)
  • Durable hardcover 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. Gray, S.B., Local properties of binary images in two dimensions, IEEE Trans. Comput. C-20: 551–561, 1971.

    Article  Google Scholar 

  2. Janos, L. and Rosenfeld, A., Some results on fuzzy (digital) convexity, Pattern Recognition, 15: 379–382, 1982.

    Article  MathSciNet  MATH  Google Scholar 

  3. Kim, C.E., On cellular convexity of complexes, IEEE Trans. Pattern Anal. Mach. Intell. PAMI-3: 617–625, 1981.

    Google Scholar 

  4. Rosenfeld, A., Fuzzy graphs, In: L. A. Zadeh, K. S. Fu, M. Shimura, Eds., Fuzzy Sets and Their Applications, 77–95, Academic Press, 1975.

    Google Scholar 

  5. Rosenfeld, A., Picture Languages, Academic Press, New York, 1979.

    MATH  Google Scholar 

  6. Rosenfeld, A., Fuzzy digital topology, Inform. Contr. 40: 76–87, 1979.

    Article  MathSciNet  MATH  Google Scholar 

  7. Rosenfeld, A., On connectivity properties of gray scale pictures, Pattern Recognition, 16: 47–50, 1983.

    Article  Google Scholar 

  8. Rosenfeld, A. and Kak, A.C., Digital Picture Processing, Academic Press, New York, 1976.

    Google Scholar 

  9. Sklansky, J., Recognition of convex blobs, Pattern Recognition 2: 310, 1970.

    Article  Google Scholar 

  10. Zadeh, L. A., Fuzzy sets, Inform. Contr 8: 338, 1965.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2001 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Mordeson, J.N., Nair, P.S. (2001). Fuzzy Digital Topology. In: Fuzzy Mathematics. Studies in Fuzziness and Soft Computing, vol 20. Physica, Heidelberg. https://doi.org/10.1007/978-3-7908-1808-6_4

Download citation

  • DOI: https://doi.org/10.1007/978-3-7908-1808-6_4

  • Publisher Name: Physica, Heidelberg

  • Print ISBN: 978-3-7908-2494-0

  • Online ISBN: 978-3-7908-1808-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics