gives the union of the regions reg1, reg2, ….
Examplesopen allclose all
Basic Examples (2)
Union of two MeshRegion objects:
Special Regions (6)
A union of Line regions:
A union of Polygon regions:
A union of two Disk regions:
A union of two Cuboid regions:
A union of regions with different RegionDimension:
Formula Regions (2)
Mesh Regions (2)
By taking a RegionUnion of many disks, dilation of a mesh can be approximated:
By removing a RegionUnion of many disks, erosion of a mesh can be approximated:
Properties & Relations (5)
A point p belongs to RegionUnion[reg1,reg2,…] if it belongs to some regi:
Use RegionMember to test membership:
The RegionDimension of a union is the max of all input dimensions:
If two regions are disjoint, the RegionMeasure of their union is a sum:
If they overlap, you must subtract the measure of the RegionIntersection:
Possible Issues (2)
Wolfram Research (2014), RegionUnion, Wolfram Language function, https://reference.wolfram.com/language/ref/RegionUnion.html (updated 2017).
Wolfram Language. 2014. "RegionUnion." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2017. https://reference.wolfram.com/language/ref/RegionUnion.html.
Wolfram Language. (2014). RegionUnion. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/RegionUnion.html