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《Developments In Surveying and Mapping》 2002-01
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Research on Formal Description of Directional Relation Based on Voronoi Diagram

YAN Hao-wen ①②③,GUO Ren-zhong ②③(①Lanzhou Railway University,Lanzhou 730070,China;②Wuhan University ,Wuhan 430079,China;③Shenzhen Urban Planning and Land Information Centre, Shenzhen 518031,China)  
Formal description of spatial directional relation is a nodus in the area of spatial relations, but no perfect model exists till now.A new method is put forward in this paper. Firstly, the paper discusses and gives two main factors that affect directional relation between two objects. One is the diameter of the convex hull of two objects; another is the visible region between two objects. Then the practicability of formal description of directional relation using Voronoi diagram is discussed. The conclusion is that Voronoi diagram is a good tool to describe directional relation.
【CateGory Index】: P208
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1 LIU Xin 1,2,LI Chengming 2,LIU Wenbao1(1.College of Geodesy and Geomatics,Shandong University of Science and Technology,Qingdao 266510,China;2.Chinese Academy of Surveying and Mapping,Beijing 100039,China);Reasoning of qualitative distance in GIS[J];Journal of Liaoning Technical University(Natural Science);2009-05
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