# 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

open allclose all

## 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: 25-April-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: 25-April-2024 ]}