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Proceedings Paper

A reasoning method of spatial relations on the spherical digital space
Author(s): Xuesheng Zhao; Miaole Hou; Wenbin Sun; Zhiyuan Yan
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Paper Abstract

Spatial relation between spatial objects is a very important topic for spatial reasoning, query and analysis in global GIS. However, the most popular models in current use, which are based on the 2D Euclidean space (such as raster), exist some fundamental deficiency in theory for spatial relation reasoning in the spherical digital space (SDS). In this paper, a reasoning method of spatial relations in the SDS based on manifold is approached, in which: (1) the topological definitions, properties, and descriptions of spatial objects in SDS are presented; (2) appropriate operators from set operators (i.e. intersection, difference, difference by, symmetric difference, etc.) are utilized to distinguish the spatial relations between neighboring spatial objects; and (3) the value of the Euler number of symmetric difference is used for the detailed computational results of set operations; In this method, the 8 types basic topological relations between spatial objects in SDS can be distinguished accurately and easily from simple to detailed level for different requirements.

Paper Details

Date Published: 10 November 2008
PDF: 10 pages
Proc. SPIE 7146, Geoinformatics 2008 and Joint Conference on GIS and Built Environment: Advanced Spatial Data Models and Analyses, 714609 (10 November 2008); doi: 10.1117/12.813100
Show Author Affiliations
Xuesheng Zhao, China Univ. of Mining and Technology (China)
Miaole Hou, Beijing Institute of Civil Engineering and Architecture (China)
Wenbin Sun, China Univ. of Mining and Technology (China)
Zhiyuan Yan, China Univ. of Mining and Technology (China)


Published in SPIE Proceedings Vol. 7146:
Geoinformatics 2008 and Joint Conference on GIS and Built Environment: Advanced Spatial Data Models and Analyses
Lin Liu; Xia Li; Kai Liu; Xinchang Zhang, Editor(s)

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