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MeshCellCentroid

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is an annotation of MeshRegion and BoundaryMeshRegion objects that gives the centroids of mesh cells.

Details

Examples

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Basic Examples  (2)Summary of the most common use cases

Find the centroids for the cells in a BoundaryMeshRegion object:

In[4]:=4
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https://wolfram.com/xid/0rkbu21o6mslr71-ts27jz
Out[4]=4

Get the edge centroids:

In[7]:=7
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https://wolfram.com/xid/0rkbu21o6mslr71-n9fm7a

Display the centroids:

In[3]:=3
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https://wolfram.com/xid/0rkbu21o6mslr71-kl7r15
Out[3]=3

Find the centroids for the cells in a MeshRegion object:

In[1]:=1
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https://wolfram.com/xid/0rkbu21o6mslr71-f431l1
Out[1]=1

Get the face centroids:

In[2]:=2
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https://wolfram.com/xid/0rkbu21o6mslr71-hcdiw1

Display the centroids:

In[3]:=3
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https://wolfram.com/xid/0rkbu21o6mslr71-z45lq
Out[3]=3

Scope  (1)Survey of the scope of standard use cases

Cell indices can be used to get MeshCellCentroid:

In[10]:=10
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https://wolfram.com/xid/0rkbu21o6mslr71-ceypx3
Out[10]=10

Get the centroid of the second, third, and fourth faces:

In[13]:=13
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https://wolfram.com/xid/0rkbu21o6mslr71-grgo2k
Out[13]=13

Display them:

In[14]:=14
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https://wolfram.com/xid/0rkbu21o6mslr71-dihz6o
Out[14]=14

Properties & Relations  (1)Properties of the function, and connections to other functions

RegionCentroid is equal to a weighted sum of the highest-dimensional cell centroids:

In[1]:=1
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https://wolfram.com/xid/0rkbu21o6mslr71-ifv9bw
Out[1]=1

The weight for each cell is its proportion of the total measure:

In[2]:=2
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https://wolfram.com/xid/0rkbu21o6mslr71-5f9ad
In[3]:=3
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https://wolfram.com/xid/0rkbu21o6mslr71-euchja
Out[3]=3

Possible Issues  (1)Common pitfalls and unexpected behavior

MeshCellCentroid cannot be modified:

In[1]:=1
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https://wolfram.com/xid/0rkbu21o6mslr71-2bx00r
Out[1]=1
In[2]:=2
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https://wolfram.com/xid/0rkbu21o6mslr71-bym0iq
Out[2]=2
Wolfram Research (2014), MeshCellCentroid, Wolfram Language function, https://reference.wolfram.com/language/ref/MeshCellCentroid.html.
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Wolfram Research (2014), MeshCellCentroid, Wolfram Language function, https://reference.wolfram.com/language/ref/MeshCellCentroid.html.

Text

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

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

CMS

Wolfram Language. 2014. "MeshCellCentroid." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/MeshCellCentroid.html.

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Wolfram Language. 2014. "MeshCellCentroid." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/MeshCellCentroid.html.

APA

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

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

BibTeX

@misc{reference.wolfram_2025_meshcellcentroid, author="Wolfram Research", title="{MeshCellCentroid}", year="2014", howpublished="\url{https://reference.wolfram.com/language/ref/MeshCellCentroid.html}", note=[Accessed: 04-April-2025 ]}

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@misc{reference.wolfram_2025_meshcellcentroid, author="Wolfram Research", title="{MeshCellCentroid}", year="2014", howpublished="\url{https://reference.wolfram.com/language/ref/MeshCellCentroid.html}", note=[Accessed: 04-April-2025 ]}

BibLaTeX

@online{reference.wolfram_2025_meshcellcentroid, organization={Wolfram Research}, title={MeshCellCentroid}, year={2014}, url={https://reference.wolfram.com/language/ref/MeshCellCentroid.html}, note=[Accessed: 04-April-2025 ]}

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@online{reference.wolfram_2025_meshcellcentroid, organization={Wolfram Research}, title={MeshCellCentroid}, year={2014}, url={https://reference.wolfram.com/language/ref/MeshCellCentroid.html}, note=[Accessed: 04-April-2025 ]}