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MeshQualityGoal

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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 allclose all

Basic Examples  (1)Summary of the most common use cases

Triangulate an octagon with a minimal number of triangles:

In[1]:=1
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https://wolfram.com/xid/0mk4ln07vkr6-m3r7n9
Out[1]=1
In[2]:=2
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https://wolfram.com/xid/0mk4ln07vkr6-4n2g0t
Out[2]=2

Triangulate with more regular triangles:

In[3]:=3
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https://wolfram.com/xid/0mk4ln07vkr6-u7tuk5
Out[3]=3

Scope  (2)Survey of the scope of standard use cases

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

In[1]:=1
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https://wolfram.com/xid/0mk4ln07vkr6-i8lpms
Out[1]=1
In[2]:=2
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https://wolfram.com/xid/0mk4ln07vkr6-cwc8up
Out[2]=2

Triangulate with more regular triangles, but no measure constraint:

In[3]:=3
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https://wolfram.com/xid/0mk4ln07vkr6-t3o5q0
Out[3]=3

Specify a numeric quality goal:

In[1]:=1
✖
https://wolfram.com/xid/0mk4ln07vkr6-dfbhah
Out[1]=1
Wolfram Research (2014), MeshQualityGoal, Wolfram Language function, https://reference.wolfram.com/language/ref/MeshQualityGoal.html.
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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.

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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.

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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

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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: 04-April-2025 ]}

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@misc{reference.wolfram_2025_meshqualitygoal, author="Wolfram Research", title="{MeshQualityGoal}", year="2014", howpublished="\url{https://reference.wolfram.com/language/ref/MeshQualityGoal.html}", note=[Accessed: 04-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: 04-April-2025 ]}

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@online{reference.wolfram_2025_meshqualitygoal, organization={Wolfram Research}, title={MeshQualityGoal}, year={2014}, url={https://reference.wolfram.com/language/ref/MeshQualityGoal.html}, note=[Accessed: 04-April-2025 ]}