Fuzzy Modeling and Evaluation of the Spatial Relation “Along”

  • Celina Maki Takemura
  • Roberto CesarJr.
  • Isabelle Bloch
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3773)


The analysis of spatial relations among objects in an image is a important vision problem that involves both shape analysis and structural pattern recognition. In this paper, we propose a new approach to characterize the spatial relation along, an important feature of spatial configuration in space that has been overlooked in the literature up to now. We propose a mathematical definition of the degree to which an object A is along an object B, based on the region betweenA and B and a degree of elongatedness of this region. In order to better fit the perceptual meaning of the relation, distance information is included as well. Experimental results obtained using synthetic shapes and brain structures in medical imaging corroborate the proposed model and the derived measures, thus showing their adequation with the common sense.


Geographic Information System Fuzzy Modeling Spatial Relation Implementation Purpose Visibility Approach 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • Celina Maki Takemura
    • 1
  • Roberto CesarJr.
    • 1
  • Isabelle Bloch
    • 2
  1. 1.IME/USP – Instituto de Matemática eEstatística da Universidade de São PauloSão PauloBrasil
  2. 2.Dept TSI – CNRS UMR 5141GET – École Nationale Supérieure des TélécommunicationsParisFrance

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