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

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Basic Examples  (1)

Triangulate an octagon with a minimal number of triangles:

Triangulate with more regular triangles:

Scope  (2)

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

Triangulate with more regular triangles, but no measure constraint:

Specify a numeric quality goal:

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_2025_meshqualitygoal, author="Wolfram Research", title="{MeshQualityGoal}", year="2014", howpublished="\url{https://reference.wolfram.com/language/ref/MeshQualityGoal.html}", note=[Accessed: 03-April-2025 ]}

BibLaTeX

@online{reference.wolfram_2025_meshqualitygoal, organization={Wolfram Research}, title={MeshQualityGoal}, year={2014}, url={https://reference.wolfram.com/language/ref/MeshQualityGoal.html}, note=[Accessed: 03-April-2025 ]}