WOLFRAM

Wolfram Language & System Documentation Center

MaxCellMeasure

is an option for DiscretizeRegion and related functions that specifies the maximum cell measure for the result.

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

MaxCellMeasure

MaxCellMeasure

is an option for DiscretizeRegion and related functions that specifies the maximum cell measure for the result.

Details

  • Possible settings for a region of dimension include:
  • mconstrain the -dimensional measure to be at most m
    {…,dimi,…}constrain the -dimensional measure to be at most mi
  • The names "Volume", "Area", and "Length" may be used in place of the dimensions 3, 2, and 1.
  • When only a few cell measure constraints are given, other constraints are automatically computed to be compatible with mesh cells of reasonable quality.

Examples

open all close all

Basic Examples  (1)

Discretize a unit disk into triangles with area at most 0.5:

Restrict the area to 0.01:

Scope  (7)

Discretize a unit disk into triangles with area at most 0.1:

Restrict the area to 0.01:

This gives the areas of the triangles:

Specify a maximum length for line segments:

A Histogram of the line segment lengths:

In 3D, specify a maximum area for faces:

A Histogram of the face areas:

Discretize a Graphics scene with a maximum cell area of 0.1:

Discretize a Graphics3D scene with a maximum cell volume of 0.1:

Compare different length settings:

Compare different face area settings:

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

Text

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

CMS

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

APA

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

BibTeX

@misc{reference.wolfram_2025_maxcellmeasure, author="Wolfram Research", title="{MaxCellMeasure}", year="2014", howpublished="\url{https://reference.wolfram.com/language/ref/MaxCellMeasure.html}", note=[Accessed: 13-August-2025]}

BibLaTeX

@online{reference.wolfram_2025_maxcellmeasure, organization={Wolfram Research}, title={MaxCellMeasure}, year={2014}, url={https://reference.wolfram.com/language/ref/MaxCellMeasure.html}, note=[Accessed: 13-August-2025]}