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Spatial Neighbors for Topological Spatial Relations: The Case of a Circular Spatially Extended Point

  • Maribel Yasmina SantosEmail author
  • Adriano Moreira
Chapter
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 60)

Abstract

This paper presents the conceptual neighborhood graphs with the transitions that exist between several topological spatial relations. The analyzed topological spatial relations include those that exist between a circular spatially extended point and a region, between a circular spatially extended point and a line, and between two circular spatially extended points. The conceptual neighborhood graphs were identified using the snapshot model. In this model, the identification of neighborhood relations is achieved looking at the topological distance existing between pairs of spatial relations. The obtained graphs are suitable for reasoning about gradual changes in topology. These changes can be associated with the motion of objects and/or deformations over time.

Keywords

Conceptual neighborhood graph topological spatial relations circular spatially extended point snapshot model 

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Copyright information

© Springer Science+Business Media B.V. 2010

Authors and Affiliations

  1. 1.Information Systems Department, Algoritmi Research CentreUniversity of MinhoGuimarãesPortugal

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