北京应用物理与计算数学研究所;计算物理实验室 ;北京应用物理与计算数学研究所;计算物理实验室 ;北京应用物理与计算数学研究所;计算物理实验室

Wu Jiming,Shen Longjun,Zhang Jinglin (Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing 100088)

Delaunay triangulation has been widely used in many fields such as compu- tational fluid dynamics, statistics, meteorology solid state physics, computational geometry and so on. Bowyer-Watson algorithm is a very popular one for generating Delaunay triangulation. In generating the Delaunay triangulation of a preassigned set of n points, the complexity of Bowyer-Watson algorithm can at most be reduced to O(n log n) for the simple reason that the complexity of its tree search process is O(nlog n). In this paper we suggest a tree search technique whose complexity is O(n). Noting that the order of point insertion can affect the efficiency of Bowyer- Watson algorithm, we propose a technique to optimize the point insertion process. Based on these two techniques, we obtain a fast algorithm for generating Delaunay triangulation.