Abstract
Bipolarity is an important feature of spatial information, involved in the expressions of preferences and constraints about spatial positioning, or in pairs of "opposite" spatial relations such as left and right. Imprecision should also be taken into account, and fuzzy sets is then an appropriate formalism. In this paper, we propose to handle such information based on mathematical morphology operators, extended to the case of bipolar fuzzy sets. The potential of this formalism for spatial reasoning is illustrated on a simple example in brain imaging. © 2009 Springer Berlin Heidelberg.
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CITATION STYLE
Bloch, I. (2009). Bipolar fuzzy mathematical morphology for spatial reasoning. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 5720 LNCS, pp. 24–34). https://doi.org/10.1007/978-3-642-03613-2_3
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