NDLI: Topological relations between directed lines and simple geometries

Content Provider	Springer Nature Link
Author	Gao, Yong Zhang, Yi Tian, Yuan Weng, Jingng
Copyright Year	2008
Abstract	Directed lines are fundamental geometric elements to represent directed linear entities. The representations of their topological relations are so different from those of simple lines that they cannot be solved exactly with normal methods. In this paper, a new model based on point-set topology is defined to represent the topological relations between directed lines and simple geometries. Through the intersections between the start-points, end-points, and interiors of the directed lines and the interiors, boundaries, and exteriors of the simple geometries, this model identifies 5 cases of topological relations between directed lines and points, 39 cases of simple lines, and 26 cases of simple polygons. Another 4 cases of simple lines and one case of simple polygons are distinguished if considering the exteriors of the directed lines. All possible cases are furthermore grouped into an exclusive and complete set containing 11 named predicts. And the conceptual neighborhood graph is set up to illustrate their relationship and similarity. This model can provide a basis for natural language description and spatial query language to present the dynamic semantics of directed lines relative to the background features.
Starting Page	91
Ending Page	101
Page Count	11
File Format	PDF
ISSN	10069321
Journal	Science in China Series E: Technological Sciences
Volume Number	51
Issue Number	1
e-ISSN	1862281X
Language	English
Publisher	SP Science in China Press
Publisher Date	2008-06-08
Publisher Place	Heidelberg
Access Restriction	Subscribed
Subject Keyword	topological relation directed line simple geometry intersection model Engineering
Content Type	Text
Resource Type	Article
Subject	Engineering Materials Science

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