Abstract
The spatial relationship “between” is a notion which is intrinsically both fuzzy and contextual, and depends in particular on the shape of the objects. The few existing definitions do not take into account these aspects. We propose here definitions which are based on morphological operators and a fuzzy notion of visibility in order to model the main intuitive acceptions of the relation. We distinguish between cases where objects have similar spatial extensions and cases where one object is much more extended than the other. These definitions are illustrated on real data from brain images.
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Bloch, I., Colliot, O., Cesar, R.M. (2005). Mathematical Modeling of the Relationship “between” Based On Morphological Operators. In: Ronse, C., Najman, L., Decencière, E. (eds) Mathematical Morphology: 40 Years On. Computational Imaging and Vision, vol 30. Springer, Dordrecht. https://doi.org/10.1007/1-4020-3443-1_27
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DOI: https://doi.org/10.1007/1-4020-3443-1_27
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-3442-8
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