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:
-
m constrain 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 allclose allBasic Examples (1)Summary of the most common use cases
Scope (7)Survey of the scope of standard use cases
Discretize a unit disk into triangles with area at most 0.1:

https://wolfram.com/xid/0dqt848dvp2-9ldahw


https://wolfram.com/xid/0dqt848dvp2-h6e92g

This gives the areas of the triangles:

https://wolfram.com/xid/0dqt848dvp2-h09fmy

Specify a maximum length for line segments:

https://wolfram.com/xid/0dqt848dvp2-r3wks9

A Histogram of the line segment lengths:

https://wolfram.com/xid/0dqt848dvp2-elrnss

In 3D, specify a maximum area for faces:

https://wolfram.com/xid/0dqt848dvp2-mgagd5

A Histogram of the face areas:

https://wolfram.com/xid/0dqt848dvp2-c6dkoj

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

https://wolfram.com/xid/0dqt848dvp2-od9574


https://wolfram.com/xid/0dqt848dvp2-kbjrf2

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

https://wolfram.com/xid/0dqt848dvp2-rxviz5


https://wolfram.com/xid/0dqt848dvp2-bcyrmf

Compare different length settings:

https://wolfram.com/xid/0dqt848dvp2-k3uvx2


https://wolfram.com/xid/0dqt848dvp2-tqxl8o

Compare different face area settings:

https://wolfram.com/xid/0dqt848dvp2-6bwxok


https://wolfram.com/xid/0dqt848dvp2-5ctri2


https://wolfram.com/xid/0dqt848dvp2-kcd78z

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.
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.
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
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: 09-July-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: 09-July-2025
]}