Volume 38 Issue 6
Jun.  2013
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SHEN Jingwei, ZHOU Tinggang, WU Mingguang, GU Jingyi. Application of 3D Voronoi Diagram to Direction Relation Calculation[J]. Geomatics and Information Science of Wuhan University, 2013, 38(6): 746-750.
Citation: SHEN Jingwei, ZHOU Tinggang, WU Mingguang, GU Jingyi. Application of 3D Voronoi Diagram to Direction Relation Calculation[J]. Geomatics and Information Science of Wuhan University, 2013, 38(6): 746-750.
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Application of 3D Voronoi Diagram to Direction Relation Calculation

  • 1School of Geographical Sciences,Southwest University,2 Tiansheng Road,Chongqing 400715,China;2Engineering Technology Research Center of Geo-Spatial Information in Chongqing, 2 Tiansheng Road,Chongqing 400715,China;3Key Laboratory of Virtual Geographic Environment,Ministry of Education,Nanjing Normal University, 1 Wenyuan Road,Nanjing 210046,China

Funds: 西南大学博士基金资助项目(SWU111062); 中央高校基本科研业务费资助项目
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  • Received Date: January 28, 2013
  • Revised Date: January 28, 2013
  • Published Date: June 04, 2013
    Graphical Abstract
    • Abstract
  • A new method,3D direction relation calculation based on 3D Voronoi diagram is proposed.The 27 direction relations are proposed to represent the qualitative direction relation based on the 2D four direction relations.Shape,distance and other factors play very import role in direction relation calculation.3D Voronoi diagram being an approximation of spatial object plays well in the situation of complex shape and various distances.The principles and methods of 3D Voronoi diagram for the calculation of the 3D direction relations are elaborated.The weighted normal of surfaces in 3D Voronoi diagram is used to calculate the direction relation of the non-intersecting spatial objects.The direction relation in intersection case of the spatial objects is also discussed.
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