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DimensionalMeshComponents[mr]

给出区域的列表 {r0,r1,…}，其中对于网格区域 mr，rd 具有维数 d.

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DimensionalMeshComponents

DimensionalMeshComponents[mr]

给出区域的列表 {r0,r1,…}，其中对于网格区域 mr，rd 具有维数 d.

更多信息和选项

范例

打开所有单元 关闭所有单元

基本范例  (2)

分离网格具有不同维数元素的部分：

Wolfram Language code: mr = DiscretizeGraphics[Graphics[{Circle[{-1, 0}], Disk[{1, 0}]}]]
Wolfram Language code: ml = DimensionalMeshComponents[mr]

单元的每个分量的几何维数是不同的：

Wolfram Language code: Map[RegionDimension, ml]

嵌入维数是相同的：

Wolfram Language code: Map[RegionEmbeddingDimension, ml]

分离三维中的维数分量：

Wolfram Language code: mr = MeshRegion[{{0, 0, 0}, {1, 0, 0}, {2, 0, 0}, {3, 0, -1 / 2}, {3, 0, 1 / 2}, {4, -1 / 2, 0}, {4, 1 / 2, 0}}, {Point[1], Line[{2, 3}], Triangle[{3, 4, 5}], Tetrahedron[{4, 6, 5, 7}]}]
Wolfram Language code: ml = DimensionalMeshComponents[mr]

单元的每个分量的几何维数是不同的：

Wolfram Language code: Map[RegionDimension, ml]

嵌入维数是相同的：

Wolfram Language code: Map[RegionEmbeddingDimension, ml]

范围  (3)

一维 MeshRegion 可以具有零维或一维的分量：

Wolfram Language code: mr = MeshRegion[{{0}, {1}, {2}}, {Point[{1}], Line[{2, 3}]}]
Wolfram Language code: ml = DimensionalMeshComponents[mr]

各分量的 RegionDimension：

Wolfram Language code: RegionDimension /@ ml

二维 MeshRegion 可以具有零维、一维或二维的分量：

Wolfram Language code: mr = MeshRegion[{{0, 0}, {1, 0}, {2, 0}, {3, -1 / 2}, {3, 1 / 2}}, {Point[{1}], Line[{2, 3}], Polygon[{3, 4, 5}]}]
Wolfram Language code: ml = DimensionalMeshComponents[mr]

各分量的 RegionDimension：

Wolfram Language code: RegionDimension /@ ml

三维 MeshRegion 可以具有零维、一维、二维或三维的分量：

Wolfram Language code: mr = MeshRegion[{{0, 0, 0}, {1, 0, 0}, {2, 0, 0}, {3, 0, -1 / 2}, {3, 0, 1 / 2}, {4, -1 / 2, 0}, {4, 1 / 2, 0}}, {Point[1], Line[{2, 3}], Triangle[{3, 4, 5}], Tetrahedron[{4, 6, 5, 7}]}]
Wolfram Language code: ml = DimensionalMeshComponents[mr]

各分量的 RegionDimension：

Wolfram Language code: RegionDimension /@ ml

属性和关系  (5)

DimensionalMeshComponents 的每个元素都是 MeshRegion 或 EmptyRegion：

Wolfram Language code: mr = MeshRegion[{{1, 0}, {2, 0}, {3, -1 / 2}, {3, 1 / 2}}, {Line[{1, 2}], Polygon[{2, 3, 4}]}]

网格具有维数 1 和 2，但没有 0：

Wolfram Language code: ml = DimensionalMeshComponents[mr]

零维分量为 EmptyRegion，而一维和二维分量为 MeshRegion：

Wolfram Language code: MeshRegionQ /@ ml

BoundaryMeshRegion 仅具有全维分量：

Wolfram Language code: bmr = ConvexHullMesh[RandomReal[1, {10, 2}]]

较低维分量为 EmptyRegion：

Wolfram Language code: DimensionalMeshComponents[bmr]

DelaunayMesh 的输出仅具有全维分量：

Wolfram Language code: mr = DelaunayMesh[RandomReal[1, {10, 2}]]
Wolfram Language code: DimensionalMeshComponents[mr]

VoronoiMesh 的输出仅具有全维分量：

Wolfram Language code: mr = VoronoiMesh[RandomReal[1, {10, 2}]]
Wolfram Language code: DimensionalMeshComponents[mr]

TriangulateMesh 的输出仅具有全维分量：

Wolfram Language code: mr = MeshRegion[{{1, 0}, {2, 0}, {3, -1 / 2}, {3, 1 / 2}}, {Line[{1, 2}], Polygon[{2, 3, 4}]}]

三角化时低维分量被忽略：

Wolfram Language code: mr2 = TriangulateMesh[mr]

因此仅保留全维分量：

Wolfram Language code: DimensionalMeshComponents[mr2]
Wolfram Research (2014)，DimensionalMeshComponents，Wolfram 语言函数，https://reference.wolfram.com/language/ref/DimensionalMeshComponents.html.

文本

Wolfram Research (2014)，DimensionalMeshComponents，Wolfram 语言函数，https://reference.wolfram.com/language/ref/DimensionalMeshComponents.html.

CMS

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

APA

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

BibTeX

@misc{reference.wolfram_2026_dimensionalmeshcomponents, author="Wolfram Research", title="{DimensionalMeshComponents}", year="2014", howpublished="\url{https://reference.wolfram.com/language/ref/DimensionalMeshComponents.html}", note=[Accessed: 10-September-2026]}

BibLaTeX

@online{reference.wolfram_2026_dimensionalmeshcomponents, organization={Wolfram Research}, title={DimensionalMeshComponents}, year={2014}, url={https://reference.wolfram.com/language/ref/DimensionalMeshComponents.html}, note=[Accessed: 10-September-2026]}