计算机工程与应用 ›› 2009, Vol. 45 ›› Issue (21): 193-196.DOI: 10.3778/j.issn.1002-8331.2009.21.056

• 理论科学研究 • 上一篇    下一篇

基于Voronoi图的定性路径

王晓东1,2,廖士中1   

  1. 1.天津大学 计算机科学与技术学院,天津 300072
    2.牡丹江师范学院 物理系,黑龙江 牡丹江 157012
  • 收稿日期:2009-05-05 修回日期:2009-06-22 出版日期:2009-07-21 发布日期:2009-07-21
  • 通讯作者: 王晓东

Qualitative path based on Voronoi diagram

WANG Xiao-dong 1,2,LIAO Shi-zhong1   

  1. 1.School of Computer Science and Technology,Tianjin University,Tianjin 300072,China
    2.Department of Physics,Mudanjiang Teachers College,Mudanjiang,Heilongjiang 157012,China
  • Received:2009-05-05 Revised:2009-06-22 Online:2009-07-21 Published:2009-07-21
  • Contact: WANG Xiao-dong

摘要: 定性路径是定性空间推理的一个基本概念。给出了一个基于Voronoi图的定性路径表示与推理方法。该方法应用Voronoi图的邻近关系来表示定性位置和定性路径,即用运动点所在Voronoi区域的邻域来表示定性位置,用运动点所经过的定性位置序列来表示定性路径。设计并实现了一个定性路径推理算法,基于初始Voronoi图及不同时刻所有Voronoi区域的边数来动态更新Voronoi图邻近关系,可识别出运动点并找出定性路径。实验结果表明,该方法是可行的。

关键词: 定性空间推理, Voronoi图, 定性路径

Abstract: Qualitative path is a basic concept in qualitative spatial reasoning.A qualitative path representation and reasoning method based on Voronoi diagram is presented.The method uses the adjacent relationship to represent qualitative position and qualitative path.Specifically,the qualitative position is represented by the neighbors of the Voronoi diagram region the moving point lies in,and the qualitative path is represented by a series of qualitative positions the moving point passes through.Furthermore,a qualitative path reasoning algorithm is designed and implemented.With the initial Voronoi diagram and the number of edges of all Voronoi regions at different moments,the algorithm can update the dynamic Voronoi diagram,find the qualitative path,and identify the moving point.Experiment results illuminate that the method is promising.

Key words: qualitative spatial reasoning, Voronoi diagram, qualitative path