CircumscribedBall
CircumscribedBall[{p1,p2,…}]
给出可包围点 p1、p2、… 的半径最小的球.
更多信息
- CircumscribedBall 亦称为最小包围圆.
- CircumscribedBall 给出包含所有点 pi 的度量(弧长、面积…)最小的 Ball.
范例
打开所有单元 关闭所有单元基本范例 (2)
pts = RandomReal[{-1, 1}, {50, 2}];ℛ = CircumscribedBall[pts]Region[ℛ, Epilog -> {Black, Point[pts]}]pts = RandomReal[{-1, 1}, {50, 3}];ℛ = CircumscribedBall[pts]Show[{Region[Style[Point[pts], Black]], Region[Style[ℛ, Opacity[.5]]]}]范围 (1)
点 (1)
pts = RandomReal[{-1, 1}, {50, 1}];ℛ = CircumscribedBall[pts]pts = RandomReal[{-1, 1}, {50, 2}];ℛ = CircumscribedBall[pts]pts = RandomReal[{-1, 1}, {50, 3}];ℛ = CircumscribedBall[pts]属性和关系 (3)
CircumscribedBall 是包围所有点的最小的 Ball:
pts = {{0, 0}, {1, 0}, {2 / 3, 1 / 2}, {0, 1}};Graphics[{ GrayLevel[.5, .5], CircumscribedBall[pts], Red, Point[pts]}]用 InscribedBall 获取位于点的凸包内的最大的 Ball:
pts = {{0, 0}, {1, 0}, {2 / 3, 1 / 2}, {0, 1}};Graphics[{GrayLevel[.5, .5], ConvexHullRegion[pts], Red, Point[pts], Blue, InscribedBall[pts]}]用 Circumsphere 获取包围这些点的 Sphere:
pts = {{0, 0}, {1, 0}, {0, 1}};Graphics[{GrayLevel[.5, .5], Circumsphere[pts], Red, Point[pts]}]相关指南
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- 基本几何区域
文本
Wolfram Research (2023),CircumscribedBall,Wolfram 语言函数,https://reference.wolfram.com/language/ref/CircumscribedBall.html.
CMS
Wolfram 语言. 2023. "CircumscribedBall." Wolfram 语言与系统参考资料中心. Wolfram Research. https://reference.wolfram.com/language/ref/CircumscribedBall.html.
APA
Wolfram 语言. (2023). CircumscribedBall. Wolfram 语言与系统参考资料中心. 追溯自 https://reference.wolfram.com/language/ref/CircumscribedBall.html 年
BibTeX
@misc{reference.wolfram_2026_circumscribedball, author="Wolfram Research", title="{CircumscribedBall}", year="2023", howpublished="\url{https://reference.wolfram.com/language/ref/CircumscribedBall.html}", note=[Accessed: 12-September-2026]}
BibLaTeX
@online{reference.wolfram_2026_circumscribedball, organization={Wolfram Research}, title={CircumscribedBall}, year={2023}, url={https://reference.wolfram.com/language/ref/CircumscribedBall.html}, note=[Accessed: 12-September-2026]}