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BoundaryMesh[mreg]

从 MeshRegion mreg 给出 BoundaryMeshRegion.

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BoundaryMesh

BoundaryMesh[mreg]

从 MeshRegion mreg 给出 BoundaryMeshRegion.

更多信息和选项

范例

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基本范例  (3)

求在一维中全维 MeshRegion 的 BoundaryMeshRegion 表示：

Wolfram Language code: ℛ = MeshRegion[{{0}, {1}, {2}}, {Line[{1, 2}], Line[{2, 3}]}]

边界表示只有外部的点：

Wolfram Language code: BoundaryMesh[ℛ]

求在二维中全维 MeshRegion 的 BoundaryMeshRegion 表示：

Wolfram Language code: ℛ = MeshRegion[{{0, 0}, {1, 0}, {0, 1}, {1, 1}}, {Triangle[{1, 2, 3}], Triangle[{4, 3, 2}]}]

边界表示只有外部的曲线：

Wolfram Language code: BoundaryMesh[ℛ]

求在三维中全维 MeshRegion 的 BoundaryMeshRegion 表示：

Wolfram Language code: ℛ = MeshRegion[{{0, 0, 0}, {2, 0, 0}, {2, 2, 0}, {0, 2, 0}, {1, 1, 2}}, {Tetrahedron[{1, 2, 3, 5}], Tetrahedron[{1, 3, 4, 5}]}, MeshCellStyle -> 2 -> Opacity[0.5]]

边界表示只有外部的曲面：

Wolfram Language code: HighlightMesh[BoundaryMesh[ℛ], Style[2, Opacity[0.5]]]

范围  (4)

求在一维中全维 MeshRegion 的 BoundaryMeshRegion 表示：

Wolfram Language code: ℛ = MeshRegion[{{0}, {1}, {2}}, {Line[{1, 2}], Line[{2, 3}]}]

边界表示只有外部的点：

Wolfram Language code: BoundaryMesh[ℛ]

求在二维中全维 MeshRegion 的 BoundaryMeshRegion 表示：

Wolfram Language code: ℛ = MeshRegion[{{0, 0}, {1, 0}, {0, 1}, {1, 1}}, {Triangle[{1, 2, 3}], Triangle[{4, 3, 2}]}]

边界表示只有外部的曲线：

Wolfram Language code: BoundaryMesh[ℛ]

求在三维中全维 MeshRegion 的 BoundaryMeshRegion 表示：

Wolfram Language code: ℛ = MeshRegion[{{0, 0, 0}, {2, 0, 0}, {2, 2, 0}, {0, 2, 0}, {1, 1, 2}}, {Tetrahedron[{1, 2, 3, 5}], Tetrahedron[{1, 3, 4, 5}]}, MeshCellStyle -> 2 -> Opacity[0.5]]

边界表示只有外部的曲面：

Wolfram Language code: HighlightMesh[BoundaryMesh[ℛ], Style[2, Opacity[0.5]]]

BoundaryMesh 将从 MeshRegion 中去除较低维的组件：

Wolfram Language code: ℛ = MeshRegion[{{0, 0}, {1, 0}, {0, 1}, {1, 1}}, {Triangle[{1, 2, 3}], Line[{3, 4}]}]

边界表示仅能表示全维组件：

Wolfram Language code: BoundaryMesh[ℛ]

属性和关系  (4)

BoundaryMesh 总是全维的：

Wolfram Language code: ℛ = BoundaryMesh[MeshRegion[{{0, 0}, {1, 0}, {0, 1}, {1, 1}}, {Triangle[{1, 2, 3}], Triangle[{4, 3, 2}]}]]
Wolfram Language code: RegionDimension[ℛ] == RegionEmbeddingDimension[ℛ]

对于 MeshRegion，TriangulateMesh 有效地对 BoundaryMesh 进行三角剖分：

Wolfram Language code: ℛ = MeshRegion[{{0, 0}, {1, 0}, {0, 1}, {1, 1}}, {Triangle[{1, 2, 3}], Triangle[{4, 3, 2}]}]
Wolfram Language code: {TriangulateMesh[ℛ], TriangulateMesh[BoundaryMesh[ℛ]]}

DelaunayMesh 的 BoundaryMesh 是 ConvexHullMesh：

Wolfram Language code: pts = RandomReal[{-1, 1}, {50, 2}]; dm = DelaunayMesh[pts]
Wolfram Language code: {BoundaryMesh[dm], ConvexHullMesh[pts]}

在三维中：

Wolfram Language code: pts = RandomReal[1, {50, 3}];
Wolfram Language code: {BoundaryMesh[DelaunayMesh[pts]], ConvexHullMesh[pts]}

对于复杂的网格，边界表示可以显著节省内存：

Wolfram Language code: ℛ = DiscretizeRegion[Ball[], MaxCellMeasure -> 0.0001]; ℬ = BoundaryMesh[ℛ]; ByteCount /@ {ℛ, ℬ}
Wolfram Research (2014)，BoundaryMesh，Wolfram 语言函数，https://reference.wolfram.com/language/ref/BoundaryMesh.html （更新于 2015 年）.

文本

Wolfram Research (2014)，BoundaryMesh，Wolfram 语言函数，https://reference.wolfram.com/language/ref/BoundaryMesh.html （更新于 2015 年）.

CMS

Wolfram 语言. 2014. "BoundaryMesh." Wolfram 语言与系统参考资料中心. Wolfram Research. 最新版本 2015. https://reference.wolfram.com/language/ref/BoundaryMesh.html.

APA

Wolfram 语言. (2014). BoundaryMesh. Wolfram 语言与系统参考资料中心. 追溯自 https://reference.wolfram.com/language/ref/BoundaryMesh.html 年

BibTeX

@misc{reference.wolfram_2026_boundarymesh, author="Wolfram Research", title="{BoundaryMesh}", year="2015", howpublished="\url{https://reference.wolfram.com/language/ref/BoundaryMesh.html}", note=[Accessed: 19-August-2026]}

BibLaTeX

@online{reference.wolfram_2026_boundarymesh, organization={Wolfram Research}, title={BoundaryMesh}, year={2015}, url={https://reference.wolfram.com/language/ref/BoundaryMesh.html}, note=[Accessed: 19-August-2026]}