Geodesic balls in a fuzzy set and fuzzy geodesic mathematical morphology

@article{Bloch2000GeodesicBI,
  title={Geodesic balls in a fuzzy set and fuzzy geodesic mathematical morphology},
  author={Isabelle Bloch},
  journal={Pattern Recognition},
  year={2000},
  volume={33},
  pages={897-905}
}
Although fuzzy operators have deserved a large attention in the Euclidean case, almost nothing exists concerning the geodesic case. In this paper, we address this question, by de"ning fuzzy geodesic distances between points in a fuzzy set, and geodesic balls in a fuzzy set (based on the comparison of fuzzy numbers), from which we derive fuzzy geodesic mathematical morphology operators. The proposed de"nitions are valid in any dimension. The main properties of the basic operators are… CONTINUE READING

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H

  • I. Bloch
  • Mam( tre, M. Anvari, Fuzzy adjacency between…
  • 1997
Highly Influential
4 Excerpts

Constructing a fuzzy mathematical morphology: alternative ways

  • I. Bloch, H. Mam tre
  • Second IEEE International Conference on Fuzzy…
  • 1993
Highly Influential
6 Excerpts

Fuzzy geodesic mathematical morphology from fuzzy geodesic distance

  • I. Bloch
  • in: H. Heijmans, J. Roerdink (Eds.), Mathematical…
  • 1998
1 Excerpt

On links between fuzzy morphology and fuzzy distances: euclidean and geodesic cases (invited conference)

  • I. Bloch
  • in: Information Processing and Management of…
  • 1998

Distances in fuzzy sets for image processing derived from fuzzy mathematical morphology (invited conference)

  • I. Bloch
  • Information Processing and Management of…
  • 1996

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