WOLFRAM

Wolfram Language & System Documentation Center

MeshQualityGoal

is an option for DiscretizeRegion and related functions that specifies a mesh cell quality goal for the result.

Details
Details and Options Details and Options
Examples  
Basic Examples  
Scope  
See Also
Related Guides
History
Cite this Page

MeshQualityGoal

MeshQualityGoal

is an option for DiscretizeRegion and related functions that specifies a mesh cell quality goal for the result.

Details

  • Possible settings include:
  • Automaticquality automatically chosen
    "Minimal"minimal quality, no quality goal
    "Maximal"maximal quality
    qquality
  • The automatically chosen quality goal may depend on PerformanceGoal and other option settings.
  • The quality measure is computed so that for regular polygons and polyhedra and for degenerate polygons and polyhedra .
  • It is generally not possible to generate a mesh to satisfy MeshQualityGoal->1. In this case, the meshing routine will try for the best quality that can typically be achieved.

Examples

open all close all

Basic Examples  (1)

Triangulate an octagon with a minimal number of triangles:

Wolfram Language code: octo = BoundaryMeshRegion[{{-1, -2}, {1, -2}, {2, -1}, {2, 1}, {1, 2}, {-1, 2}, {-2, 1}, {-2, -1}}, Line[{1, 2, 3, 4, 5, 6, 7, 8, 1}]]
Wolfram Language code: TriangulateMesh[octo, MeshQualityGoal -> "Minimal"]

Triangulate with more regular triangles:

Wolfram Language code: TriangulateMesh[octo, MeshQualityGoal -> 1, MaxCellMeasure -> 10]

Scope  (2)

Triangulate an octagon with the "Minimal" and "Maximal" number of triangles:

Wolfram Language code: octo = BoundaryMeshRegion[{{-1, -2}, {1, -2}, {2, -1}, {2, 1}, {1, 2}, {-1, 2}, {-2, 1}, {-2, -1}}, Line[{1, 2, 3, 4, 5, 6, 7, 8, 1}]]
Wolfram Language code: Table[TriangulateMesh[octo, MeshQualityGoal -> q], {q, {"Minimal", "Maximal"}}]

Triangulate with more regular triangles, but no measure constraint:

Wolfram Language code: TriangulateMesh[octo, MeshQualityGoal -> 1, MaxCellMeasure -> 10]

Specify a numeric quality goal:

Wolfram Language code: Table[DiscretizeRegion[ImplicitRegion[x ^ 2 - y ^ 2 ≤ 1, {{x, -3, 3}, {y, -3, 3}}], MeshQualityGoal -> q, MaxCellMeasure -> 10], {q, {0.1, 0.5, 0.9}}]
Wolfram Research (2014), MeshQualityGoal, Wolfram Language function, https://reference.wolfram.com/language/ref/MeshQualityGoal.html.

Text

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

CMS

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

APA

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

BibTeX

@misc{reference.wolfram_2026_meshqualitygoal, author="Wolfram Research", title="{MeshQualityGoal}", year="2014", howpublished="\url{https://reference.wolfram.com/language/ref/MeshQualityGoal.html}", note=[Accessed: 13-June-2026]}

BibLaTeX

@online{reference.wolfram_2026_meshqualitygoal, organization={Wolfram Research}, title={MeshQualityGoal}, year={2014}, url={https://reference.wolfram.com/language/ref/MeshQualityGoal.html}, note=[Accessed: 13-June-2026]}