I am new to mesh discretisation on Mathematica. I have a Graphics3D object made up of Triangles, that I would like to convert into a MeshRegion object using DiscretizeGraphics (see https://reference.wolfram.com/language/ref/DiscretizeGraphics.html).

In particular, I would like to control the mesh density. The above link tells me to use the MaxCellMeasure option, but it doesn't seem to make any difference to my graphics!


  MaxCellMeasure -> {"Area" -> m}], {m, {0.3, 0.01, 0.001}}]

gives: enter image description here

As you can see, the meshing is unchanged. It doesn't matter if I replace "Area" by "Volume" or "Length".

Can someone please tell me how to do this properly? Is this happening because my Graphics is already made up of triangles?


1 Answer 1


I just learnt from this post (Possible Bug in DiscretizeRegion with Option MaxCellMeasure) that this might be a bug in Mathematica.

Using one of the solutions recommended here, I applied DiscretizeRegion with the MaxCellMeasure option to the meshed object produced by DiscretizeGraphics:

mr = DiscretizeGraphics[g];
DiscretizeRegion[mr, MaxCellMeasure -> {"Area" -> #}] & /@ {0.1, 
  0.01, 0.005}

And this time, it works: enter image description here

Should I report this bug to Mathematica? The previous bug, mentioned in the post, was solved several years ago.


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