Wolfram Language & System 11.0 (2016)|Legacy Documentation
restricts to the bounds .
- DiscretizeRegion is also known as mesh generation and grid generation.
- DiscretizeRegion discretizes the interior and boundaries of the region reg.
- In particular, DiscretizeRegion will attempt to discretize lower-dimensional parts of reg.
- The region reg can be anything that is ConstantRegionQ and RegionEmbeddingDimension less than or equal to 3.
- DiscretizeRegion has the same options as MeshRegion, with the following additions and changes:
AccuracyGoal Automatic digits of accuracy sought MaxCellMeasure Automatic maximum cell measure MeshQualityGoal Automatic quality goal for mesh cells Method Automatic method to use MeshRefinementFunction None function that returns True if a mesh cell needs refinement PerformanceGoal $PerformanceGoal whether to consider speed or quality PrecisionGoal Automatic digits of precision sought
- With MeshRefinementFunction->f, the function f[vlist,m] is applied to each simplex created, where vlist is a list of the vertices and m is the measure. If f[vlist,m] returns True, the simplex will be refined.
- With AccuracyGoal->a and PrecisionGoal->p, an attempt will be made to keep the maximum distance between the region reg or the discretized region dreg and any point in RegionSymmetricDifference[reg,dreg] to less than , where is the length of the diagonal of the bounding box.
Introduced in 2014
(10.0)| Updated in 2015