On internal cardinal direction relations

  • Authors:

  • Yu Liu;Xiaoming Wang;Xin Jin;Lun Wu

  • Affiliations:

  • Institute of Remote Sensing and Geographic Information Systems, Peking University, Beijing, P.R. China;Institute of Remote Sensing and Geographic Information Systems, Peking University, Beijing, P.R. China;Institute of Remote Sensing and Geographic Information Systems, Peking University, Beijing, P.R. China;Institute of Remote Sensing and Geographic Information Systems, Peking University, Beijing, P.R. China

  • Venue:
  • COSIT'05 Proceedings of the 2005 international conference on Spatial Information Theory
  • Year:
  • 2005

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Abstract

Internal Cardinal Direction (ICD) relations can be considered as the refinement to the contains/within topological relation. It is widely used to describe the position of an object in a region. In this paper, three ICD models with varying degrees of details are presented – ICD-5, ICD-9 and ICD-13. In each of these, the notion of a “middle part” is defined using Minimum Bounding Rectangles (MBR). Then focusing on ICD-9, three representation methods are discussed. They are major portion, point set of intersections and proportions of intersections respectively. The ICD-9 model is validated by a cognitive experiment, which helped to determine the size of the middle part in ICD-9 and validate the MBR-based partition method. Based on a psychological theory about vague predicates, conceptual neighborhood and intersection of ICD relations are also discussed briefly.