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Topology-Preserving Deformations of Fuzzy Digital Pictures

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Fuzzy Techniques in Image Processing

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 52))

Summary

This chapter considers the topology of two-dimensional fuzzy digital pictures, and discusses topology-preserving deformations of these fuzzy pictures that generalize deformations of two-valued digital pictures. It is shown that an arbitrary fuzzy picture can be transformed by this type of deformation into a coherent fuzzy picture. As another application, it is shown that the genus of a fuzzy picture is a linear combination of local property values.

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References

  1. Dyer C.R. and Rosenfeld A., Thinning algorithms for gray-scale pictures,IEEE Transactions on Pattern Analysis and Machine Intelligence, Vol. 1, pp. 88–89, 1979

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Author information

Authors and Affiliations

  1. Department of Computer Science, Hiroshima-Denki Institute of Technology, Hiroshima, 739-0321, Japan

    Akira Nakamura

  2. Center for Automation Research, University of Maryland, College Park, MD, 20742-3275, USA

    Azriel Rosenfeld

Authors
  1. Akira Nakamura
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  2. Azriel Rosenfeld
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Editor information

Editors and Affiliations

  1. Department of Applied Mathematics and Computer Science Fuzziness and Uncertainty Modelling Research Unit, Ghent University, Krijgslaan 281 (S9), 9000, Gent, Belgium

    Etienne E. Kerre  & Mike Nachtegael  & 

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© 2000 Springer-Verlag Berlin Heidelberg

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Nakamura, A., Rosenfeld, A. (2000). Topology-Preserving Deformations of Fuzzy Digital Pictures. In: Kerre, E.E., Nachtegael, M. (eds) Fuzzy Techniques in Image Processing. Studies in Fuzziness and Soft Computing, vol 52. Physica, Heidelberg. https://doi.org/10.1007/978-3-7908-1847-5_15

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  • DOI: https://doi.org/10.1007/978-3-7908-1847-5_15

  • Publisher Name: Physica, Heidelberg

  • Print ISBN: 978-3-7908-2475-9

  • Online ISBN: 978-3-7908-1847-5

  • eBook Packages: Springer Book Archive

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