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MeshCellQuality

is an annotation of MeshRegion and BoundaryMeshRegion objects that gives a quality measure for mesh cells.

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Scope  
Properties & Relations  
Possible Issues  
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MeshCellQuality

MeshCellQuality

is an annotation of MeshRegion and BoundaryMeshRegion objects that gives a quality measure for mesh cells.

Details

Examples

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Basic Examples  (1)

Find the quality measures for the cells in a MeshRegion object:

Wolfram Language code: ℛ = DiscretizeRegion[Disk[], MaxCellMeasure -> .02]

Show a histogram of cell qualities:

Wolfram Language code: Histogram[AnnotationValue[{ℛ, 2}, MeshCellQuality]]

Scope  (2)

Cell indices can be used to get MeshCellQuality:

Wolfram Language code: ℛ = DelaunayMesh[RandomReal[1, {10, 2}]]
Wolfram Language code: AnnotationValue[{ℛ, {2, {3, 4, 5}}}, MeshCellQuality]

Cells can be used to get MeshCellQuality:

Wolfram Language code: ℛ = MeshRegion[{{0, 0}, {1, 0}, {0, 1}, {2, 1}}, Polygon[{{1, 2, 3}, {2, 4, 3}}]]
Wolfram Language code: AnnotationValue[{ℛ, Polygon[{2, 4, 3}]}, MeshCellQuality]

Properties & Relations  (1)

MeshCellQuality is only meaningful for 2D and 3D cells:

Wolfram Language code: ℛ = 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: AnnotationValue[{ℛ, {{2, 1}, {3, 1}}}, MeshCellQuality]

For 0D and 1D cells, the quality is always 1:

Wolfram Language code: AnnotationValue[{ℛ, {{0, 1}, {1, 1}}}, MeshCellQuality]

Possible Issues  (1)

MeshCellQuality 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}, MeshCellQuality -> .5]
Wolfram Research (2014), MeshCellQuality, Wolfram Language function, https://reference.wolfram.com/language/ref/MeshCellQuality.html.

Text

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

CMS

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

APA

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

BibTeX

@misc{reference.wolfram_2026_meshcellquality, author="Wolfram Research", title="{MeshCellQuality}", year="2014", howpublished="\url{https://reference.wolfram.com/language/ref/MeshCellQuality.html}", note=[Accessed: 13-June-2026]}

BibLaTeX

@online{reference.wolfram_2026_meshcellquality, organization={Wolfram Research}, title={MeshCellQuality}, year={2014}, url={https://reference.wolfram.com/language/ref/MeshCellQuality.html}, note=[Accessed: 13-June-2026]}