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计算机工程 ›› 2007, Vol. 33 ›› Issue (16): 56-58. doi: 10.3969/j.issn.1000-3428.2007.16.019

• 软件技术与数据库 • 上一篇    下一篇

Delaunay三角网剖分中的约束边嵌入算法

陈学工,黄晶晶   

  1. (中南大学信息科学与工程学院,长沙 410083)
  • 收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2007-08-20 发布日期:2007-08-20

Algorithm of Inserting Constrained Edge into Delaunay Triangulation

CHEN Xue-gong , HUANG Jing-jing   

  1. (School of Information Science and Engineering, Central South University, Changsha 410083)
  • Received:1900-01-01 Revised:1900-01-01 Online:2007-08-20 Published:2007-08-20

摘要: 约束边嵌入是解决D-三角网转变为CD-三角网的一种非常有效的方法,而CD-三角网才能真实地虚拟地形地貌。该文研究了约束边嵌入D-三角网的问题,介绍了约束边嵌入算法的一些基本概念,分析了现存算法的特点,提出了改进的约束边嵌入算法——“插入-交换”算法。该算法能有效地处理各种特殊情况,程序实现简单,符合工程需求。

关键词: 约束边, Delaunay三角剖分, 对角线

Abstract: This paper focuses on the problem of inserting constrained edge into D-triangulation. It is a very effective method of changing D-triangulation into CD-triangulation that constrained edge is inserted into D-triangulation, and only CD-triangulation can present real terrain and relief. It introduces some basic conceptions about the algorithm of inserting constrained edge, analyses present algorithms’ characteristics and presents a better algorithm of inserting constrained edge——“inserting-swapping” algorithm. The algorithm can effectively deal with all kinds of instances, and can be implemented by programs easily, and can accord with requirements of the project.

Key words: constrained edge, Delaunay triangulation, diagonal

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