Find bounds for a region in :

Visualize the bounds:

Find bounds for a region in :

Visualize the bounds:

Unbounded regions have infinite bounds:

Find a bounding Sphere to a region's bounding box:

Compute corner points of bounding box:

Compute bounding sphere:

Visualize bounding surfaces:

Find a bounding Ellipsoid to a region's bounding box:

Compute the bounding box:

Compute a bounding ellipsoid to the bounding box:

Visualize bounding surfaces:

Check for possible region inclusion by checking if bounding boxes overlap:

Compute bounds for each region:

For each dimension, check if bounds intersect:

Bounding boxes overlap if and only if bounds in every dimension overlap:

Create a fast membership rejection test:

Create a region member function:

Create a member function for the region's bounding box:

Generate points for testing:

Use region member function to select member points after filtering with bounding box member function:

Compare the timing of only using the region member function:

Both approaches return the same member points:

Fit an oriented bounding box of least area to a region:

Find the transform for each edge of the region's convex hull that aligns it with the axis:

Compute oriented bounding boxes aligned with each edge of the convex hull:

Find the transform that will orient the bounding box with the smallest area to the region:

Visualize the oriented bounding box and region:

The range is finite for bounded regions:

The range is infinite for unbounded regions:

RegionBounds may be used as input to DiscretizeRegion:

Double the default DiscretizeRegion bounding range:

RegionBounds may be used as input to VoronoiMesh:

VoronoiMesh at varying bounding ranges:

RegionBounds may be used to specify a PlotRange to DiscretizeGraphics:

VoronoiMesh at varying bounding ranges:

Transpose a 2D region's bounds to get coordinates for Rectangle:

Transpose a 3D region's bounds to get coordinates for Cuboid:

Region bounds may be passed directly into UniformDistribution:

Get the region bounds:

Uniformly sample over the bounded region: