A formal model describing topological relations between spatial linear objects in GIS-T

Shuijian Zhang; Yongshu Li

doi:10.1117/12.813111

10 November 2008 A formal model describing topological relations between spatial linear objects in GIS-T

Shuijian Zhang, Yongshu Li

Proceedings Volume 7146, Geoinformatics 2008 and Joint Conference on GIS and Built Environment: Advanced Spatial Data Models and Analyses; 71460K (2008) https://doi.org/10.1117/12.813111
Event: Geoinformatics 2008 and Joint Conference on GIS and Built Environment: Geo-Simulation and Virtual GIS Environments, 2008, Guangzhou, China

Abstract

The importance of studying topological relations between spatial linear objects is expounded. The concepts endpoint, interior, exterior and boundary of spatial linear object are defined on the basis of basic theories of point-set topology, and a formal and perfect model describing topological relations between spatial linear objects is proposed based on that. Fifteen negative rules are putted forward to exclude the impossible topological relations which are described by the model according to the realistic physical meaning of spatial linear objects. The smallest set of topological relations between spatial line objects is proposed, and the exclusivity and perfectibility of the smallest set are proved.

Citation Download Citation

Shuijian Zhang and Yongshu Li "A formal model describing topological relations between spatial linear objects in GIS-T", Proc. SPIE 7146, Geoinformatics 2008 and Joint Conference on GIS and Built Environment: Advanced Spatial Data Models and Analyses, 71460K (10 November 2008); https://doi.org/10.1117/12.813111

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