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.


bipolar spatial information fuzzy sets spatial relations bipolar fuzzy dilation and erosion spatial reasoning 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Isabelle Bloch
    • 1
  1. 1.Télécom ParisTech (ENST), CNRS UMR 5141 LTCIParisFrance

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