V2EX quickhull

Quickhull

释义 Definition

Quickhull 是一种用于计算点集凸包(convex hull)的算法,常用于二维或三维计算几何中。它的思想类似 Quicksort(快速排序):通过选择边界点将点集分割为子问题,递归地“找最外层”的点来构建凸包。(也常写作 QuickHull。)

发音 Pronunciation (IPA)

/kwkhl/

例句 Examples

Quickhull can compute the convex hull of these points quickly.
Quickhull 可以快速计算这些点的凸包。

In computational geometry, Quickhull is often used to build a 3D convex hull by recursively partitioning points and discarding those inside the current hull.
在计算几何中,Quickhull 常用于构建三维凸包:通过递归划分点集,并丢弃位于当前凸包内部的点来完成计算。

词源 Etymology

Quickhull 这个名称由 **Quick-**(“快速的”,借用 quicksort 的思路与命名方式)与 hull(“外壳、包围层”,在几何中指“凸包/包络”)组合而来,强调它用“快速分治”的方式求出点集的最外层边界。

相关词 Related Words

文学与著作出现 Notable Works

  • Barber, Dobkin & Huhdanpaa (1996), “The Quickhull algorithm for convex hulls”(介绍并推广 Quickhull,影响了许多工程实现)
  • Mark de Berg et al., Computational Geometry: Algorithms and Applications(计算几何经典教材,讨论凸包等基础问题,常在相关章节提及 Quickhull 及对比方法)
  • Joseph O’Rourke, Computational Geometry in C(凸包算法常见参考书之一,在凸包主题中与其他方法并列出现/被讨论)
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