V2EX delaunay

Delaunay

Definition / 释义

Delaunay 通常指德劳内(Delaunay)三角剖分/三角网(计算几何与网格生成中的一种方法):给定一组点,将平面划分为三角形,使得任意一个三角形的外接圆内不包含其他点(常见表述)。它常与 Voronoi(沃罗诺伊)图互为对偶结构。
(该词也可作为法语姓氏出现。)

Pronunciation / 发音(IPA)

/dlne/

Examples / 例句

We used Delaunay triangulation to connect the sample points.
我们用德劳内三角剖分把采样点连接起来。

After computing the Voronoi diagram, we derived the corresponding Delaunay graph for mesh generation.
在计算出沃罗诺伊图之后,我们推导出对应的德劳内图用于生成网格。

Etymology / 词源

Delaunay 源自法语姓氏,常见于数学与计算几何中,因与相关理论和方法密切关联而被用作术语名称(如 Delaunay triangulation)。在学术写作里,它多以人名/姓氏形式保留原拼写。

Related Words / 相关词

Notable Works / 文献与著作中的用例

  • Computational Geometry: Algorithms and Applications(Mark de Berg 等)
  • Geometry and Topology for Mesh Generation(Herbert Edelsbrunner)
  • Delaunay Mesh Generation(Si-Qing Xin, Guoliang Xu 等领域相关论文与章节常见该术语)
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