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A new fuzzy connectivity class application to structural recognition in images. (English) Zbl 1138.68576

Coeurjolly, David (ed.) et al., Discrete geometry for computer imagery. 14th IAPR international conference, DGCI 2008, Lyon, France, April 16–18, 2008. Proceedings. Berlin: Springer (ISBN 978-3-540-79125-6/pbk). Lecture Notes in Computer Science 4992, 446-457 (2008).
Summary: Fuzzy sets theory constitutes a poweful tool, that can lead to more robustness in problems such as image segmentation and recognition. This robustness results to some extent from the partial recovery of the continuity that is lost during digitization. Here we deal with fuzzy connectivity notions. We show that usual fuzzy connectivity definitions have some drawbacks, and we propose a new definition, based on the notion of hyperconnection, that exhibits better properties, in particular in terms of continuity. We illustrate the potential use of this definition in a recognition procedure based on connected filters. A max-tree representation is also used, in order to deal efficiently with the proposed connectivity.
For the entire collection see [Zbl 1134.68004].

MSC:

68T45 Machine vision and scene understanding
68T10 Pattern recognition, speech recognition
68U10 Computing methodologies for image processing
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