Representing Topological Relationships between Complex Regions by F-Histograms

  • Lukasz Wawrzyniak
  • Pascal Matsakis
  • Dennis Nikitenko
Conference paper


In earlier work, we introduced the notion of the F-histogram and demonstrated that it can be of great use in understanding the spatial organization of regions in images. Moreover, we have recently designed F-histograms coupled with mutually exclusive and collectively exhaustive relations between line segments. These histograms constitute a valuable tool for extracting topological relationship information from 2D concave objects. For any direction in the plane, they define a fuzzy partition of all object pairs, and each class of the partition corresponds to one of the above relations. The present paper continues this line of research. It lays the foundation for generating a linguistic description that captures the essence of the topological relationships between two regions in terms of the thirteen Allen relations. An index to measure the complexity of the relationships in an arbitrary direction is developed, and experiments are performed on real data.


Longitudinal Section Satisfactory Index Topological Relationship Object Pair Oriented Line 
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

  • Lukasz Wawrzyniak
    • 1
  • Pascal Matsakis
    • 1
  • Dennis Nikitenko
    • 1
  1. 1.Department of Computing and Information ScienceUniversity of GuelphGuelphCanada

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