BoundaryMesh

BoundaryMesh[mreg]

gives a BoundaryMeshRegion from a MeshRegion mreg.

Details and Options

  • BoundaryMesh effectively represents the regular closure of mreg, i.e. lower-dimensional components in the region will be dropped.
  • BoundaryMesh takes the same options as MeshRegion.

Examples

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Basic Examples  (3)

Find the BoundaryMeshRegion representation of a full-dimensional MeshRegion in 1D:

The boundary representation only has the outer points:

Find the BoundaryMeshRegion representation of a full-dimensional MeshRegion in 2D:

The boundary representation only has the outer curve:

Find the BoundaryMeshRegion representation of a full-dimensional MeshRegion in 3D:

The boundary representation only has the outer surface:

Scope  (4)

Find the BoundaryMeshRegion representation of a full-dimensional MeshRegion in 1D:

The boundary representation only has the outer points:

Find the BoundaryMeshRegion representation of a full-dimensional MeshRegion in 2D:

The boundary representation only has the outer curve:

Find the BoundaryMeshRegion representation of a full-dimensional MeshRegion in 3D:

The boundary representation only has the outer surface:

BoundaryMesh will remove lower-dimensional components from a MeshRegion:

The boundary representation can only represent full-dimensional components:

Properties & Relations  (4)

A BoundaryMesh is always full dimensional:

TriangulateMesh for MeshRegion effectively triangulates BoundaryMesh:

The BoundaryMesh of a DelaunayMesh is the ConvexHullMesh:

In 3D:

For complex meshes, a boundary representation may save significant memory:

Wolfram Research (2014), BoundaryMesh, Wolfram Language function, https://reference.wolfram.com/language/ref/BoundaryMesh.html (updated 2015).

Text

Wolfram Research (2014), BoundaryMesh, Wolfram Language function, https://reference.wolfram.com/language/ref/BoundaryMesh.html (updated 2015).

CMS

Wolfram Language. 2014. "BoundaryMesh." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2015. https://reference.wolfram.com/language/ref/BoundaryMesh.html.

APA

Wolfram Language. (2014). BoundaryMesh. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/BoundaryMesh.html

BibTeX

@misc{reference.wolfram_2024_boundarymesh, author="Wolfram Research", title="{BoundaryMesh}", year="2015", howpublished="\url{https://reference.wolfram.com/language/ref/BoundaryMesh.html}", note=[Accessed: 21-November-2024 ]}

BibLaTeX

@online{reference.wolfram_2024_boundarymesh, organization={Wolfram Research}, title={BoundaryMesh}, year={2015}, url={https://reference.wolfram.com/language/ref/BoundaryMesh.html}, note=[Accessed: 21-November-2024 ]}