Wolfram Language & System 11.0 (2016)|Legacy Documentation

This is documentation for an earlier version of the Wolfram Language.
BUILT-IN WOLFRAM LANGUAGE SYMBOL

BoundaryDiscretizeRegion

discretizes the region reg into a BoundaryMeshRegion.

BoundaryDiscretizeRegion[reg,{{xmin,xmax},}]
restricts to the bounds .

Details and OptionsDetails and Options

• BoundaryDiscretizeRegion is also known as boundary evaluation.
• BoundaryDiscretizeRegion effectively discretizes the boundaries of the full-dimensional parts of a region reg.
• The region reg can be anything that is ConstantRegionQ and RegionEmbeddingDimension less or equal to 3.
• BoundaryDiscretizeRegion has the same options as BoundaryMeshRegion, with the following additions and changes:
•  AccuracyGoal Automatic digits of accuracy sought MaxCellMeasure Automatic maximum cell measure Method Automatic method to use PerformanceGoal \$PerformanceGoal whether to consider speed or quality PrecisionGoal Automatic digits of precision sought
• With AccuracyGoal->a and , 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.
• With where m>0, the cell measure in the boundary dimension d-1 where d is the region dimension will be limited to m. Measure limits for specific dimensions may be specified with MaxCellMeasure->{,di->mi,}.

ExamplesExamplesopen allclose all

Basic Examples  (3)Basic Examples  (3)

Get a discretized boundary representation for a disk:

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Get a discretized boundary representation for a ball:

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Restrict to the first orthant:

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Get a discretized boundary representation for an ImplicitRegion:

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