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MeshCellCentroid

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

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Basic Examples  
Scope  
Properties & Relations  
Possible Issues  
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MeshCellCentroid

MeshCellCentroid

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

Details

Examples

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Basic Examples  (2)

Find the centroids for the cells in a BoundaryMeshRegion object:

Wolfram Language code: ℛ = BoundaryDiscretizeRegion[Disk[], MaxCellMeasure -> {"Length" -> .5}]

Get the edge centroids:

Wolfram Language code: AnnotationValue[{ℛ, 1}, MeshCellCentroid]//Short

Display the centroids:

Wolfram Language code: Show[ℛ, Graphics[{Red, Point[%]}]]

Find the centroids for the cells in a MeshRegion object:

Wolfram Language code: ℛ = DiscretizeRegion[Disk[], MaxCellMeasure -> .15]

Get the face centroids:

Wolfram Language code: AnnotationValue[{ℛ, 2}, MeshCellCentroid]//Short

Display the centroids:

Wolfram Language code: Show[ℛ, Graphics[{Red, Point[%]}]]

Scope  (1)

Cell indices can be used to get MeshCellCentroid:

Wolfram Language code: ℛ = DelaunayMesh[RandomReal[1, {6, 2}]]

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

Wolfram Language code: AnnotationValue[{ℛ, {2, {2, 3, 4}}}, MeshCellCentroid]

Display them:

Wolfram Language code: Show[ℛ, Graphics[{Red, Point[%]}]]

Properties & Relations  (1)

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

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

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

Wolfram Language code: weights = AnnotationValue[{ℛ, RegionDimension[ℛ]}, MeshCellMeasure] / RegionMeasure[ℛ];
Wolfram Language code: Total[weights * AnnotationValue[{ℛ, RegionDimension[ℛ]}, MeshCellCentroid]] == RegionCentroid[ℛ]

Possible Issues  (1)

MeshCellCentroid cannot be modified:

Wolfram Language code: mr = MeshRegion[{{0, 0}, {1, 0}, {1, 1}, {0, 1}}, Polygon[{{1, 2, 3}, {3, 4, 1}}]]
Wolfram Language code: Annotate[{mr, 2}, MeshCellCentroid -> {.5, .5}]
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.

CMS

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

BibTeX

@misc{reference.wolfram_2026_meshcellcentroid, author="Wolfram Research", title="{MeshCellCentroid}", year="2014", howpublished="\url{https://reference.wolfram.com/language/ref/MeshCellCentroid.html}", note=[Accessed: 13-June-2026]}

BibLaTeX

@online{reference.wolfram_2026_meshcellcentroid, organization={Wolfram Research}, title={MeshCellCentroid}, year={2014}, url={https://reference.wolfram.com/language/ref/MeshCellCentroid.html}, note=[Accessed: 13-June-2026]}