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CircumscribedBall[{p1,p2,…}]

点 p1, p2, …を包み込む半径が最小の球を与える．

詳細
Details and Options Details and Options
例題  
例  
スコープ  
点  
特性と関係  
関連項目
関連するガイド
履歴
引用書式

CircumscribedBall

CircumscribedBall[{p1,p2,…}]

点 p1, p2, …を包み込む半径が最小の球を与える．

詳細

  • CircumscribedBallは最小の包込み円としても知られている．
  • CircumscribedBallは，すべての点 piを含む測度（円弧，長さ，面積等）が最小のBallを与える．

例題

すべて開く すべて閉じる

例  (2)

点からの2D外接球：

Wolfram Language code: pts = RandomReal[{-1, 1}, {50, 2}];
Wolfram Language code: ℛ = CircumscribedBall[pts]

この領域は点を包み込む最小の球体である：

Wolfram Language code: Region[ℛ, Epilog -> {Black, Point[pts]}]

点からの3D外接球：

Wolfram Language code: pts = RandomReal[{-1, 1}, {50, 3}];
Wolfram Language code: ℛ = CircumscribedBall[pts]

この領域は点を包み込む最小の球体である：

Wolfram Language code: Show[{Region[Style[Point[pts], Black]], Region[Style[ℛ, Opacity[.5]]]}]

スコープ  (1)

点  (1)

点の集合から1D外接球を作成する：

Wolfram Language code: pts = RandomReal[{-1, 1}, {50, 1}];
Wolfram Language code: ℛ = CircumscribedBall[pts]

2D外接球：

Wolfram Language code: pts = RandomReal[{-1, 1}, {50, 2}];
Wolfram Language code: ℛ = CircumscribedBall[pts]

3D外接球：

Wolfram Language code: pts = RandomReal[{-1, 1}, {50, 3}];
Wolfram Language code: ℛ = CircumscribedBall[pts]

特性と関係  (3)

CircumscribedBallは点を包み込む最小のBallである：

Wolfram Language code: pts = {{0, 0}, {1, 0}, {2 / 3, 1 / 2}, {0, 1}};
Wolfram Language code: Graphics[{ GrayLevel[.5, .5], CircumscribedBall[pts], Red, Point[pts]}]

InscribedBallを使って点の凸包内にある最大のBallを得る：

Wolfram Language code: pts = {{0, 0}, {1, 0}, {2 / 3, 1 / 2}, {0, 1}};
Wolfram Language code: Graphics[{GrayLevel[.5, .5], ConvexHullRegion[pts], Red, Point[pts], Blue, InscribedBall[pts]}]

Circumsphereを使ってを点に外接するSphere得る：

Wolfram Language code: pts = {{0, 0}, {1, 0}, {0, 1}};
Wolfram Language code: Graphics[{GrayLevel[.5, .5], Circumsphere[pts], Red, Point[pts]}]
Wolfram Research (2023), CircumscribedBall, Wolfram言語関数， https://reference.wolfram.com/language/ref/CircumscribedBall.html.

テキスト

Wolfram Research (2023), CircumscribedBall, Wolfram言語関数， https://reference.wolfram.com/language/ref/CircumscribedBall.html.

CMS

Wolfram Language. 2023. "CircumscribedBall." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/CircumscribedBall.html.

APA

Wolfram Language. (2023). CircumscribedBall. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/CircumscribedBall.html

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: 13-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: 13-September-2026]}