V2EX barycentric

Barycentric

Definition / 定义

barycentric(形容词):指“重心的”或“以重心为中心的”。在数学/几何中常见于 barycentric coordinates(重心坐标),用三角形(或多面体)顶点的“权重”来表示点的位置。(也可指“以共同质心为参考”的天文学/物理学用法。)

Pronunciation / 发音

/brisntrk/

Examples / 例句

We used barycentric coordinates to locate the point inside the triangle.
我们用重心坐标来确定三角形内这个点的位置。

The algorithm computes a barycentric interpolation across the mesh to smoothly blend colors and textures.
该算法在网格上进行重心插值,以平滑混合颜色与纹理。

Etymology / 词源

来自 **bary-**(源自希腊语 bars,意为“重的”)+ -centric(“以……为中心的”)。字面意思就是“以重(重心)为中心的”,因此常用于描述与“质心/重心”相关的坐标表示或参考系。

Related Words / 相关词

Literary Works / 文学作品

  • Michael Spivak, Calculus(在向量/几何直观相关讨论中常涉及质心思想,重心坐标常作为延伸概念出现)
  • H.S.M. Coxeter, Introduction to Geometry(几何与坐标方法相关内容中常见重心与重心坐标的讨论)
  • John H. Conway & Derek A. Smith, On Quaternions and Octonions(涉及几何结构与坐标表达的相关语境中会提到重心式表示法)
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