Are topological relations dependent on the shape of spatial objects?

Wen Zhong Shi, Kimfung Liu

Research output: Journal article publicationJournal articleAcademic researchpeer-review

1 Citation (Scopus)

Abstract

Topology is normally considered as independent of shape of spatial objects. This may not necessarily be true in describing relations between spatial objects in GIS. In this paper, we present proof that the topological relations between spatial objects are dependent on the shape of spatial objects. That is, that the topological relations of non-convex sets cannot be deformed to the topological relations of convex sets. The significant theoretical value of this paper is on its findings that topology of spatial objects is shape dependent. This indicates that when we want to describe topological relations between spatial objects in GIS, both topology and the shape of objects need to be considered. As a result, spatial data modeling, query and analysis based on the existing understanding of topology of spatial objects may need re-assessed.
Original languageEnglish
Pages (from-to)1021-1025
Number of pages5
JournalProgress in Natural Science
Volume15
Issue number11
DOIs
Publication statusPublished - 1 Nov 2005

Keywords

  • Boundary
  • Components
  • Convex set
  • Homeomorphic map
  • Interior
  • Topological relations

ASJC Scopus subject areas

  • General

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