SubdivisionRegion works on curves:

Surfaces:

Solids:

SubdivisionRegion works on regions in 2D:

3D:

Specify the styling of a SubdivisionRegion in 2D:

3D:

Specify graphics options for SubdivisionRegion in 2D:

3D:

Styling applies to finite subdivision levels:

By default, SubdivisionRegion gives the limit region as the subdivision level approaches infinity:

This is equivalent to specifying a level of Infinity:

Specify a finite level:

Level zero gives the region with no subdivisions applied:

Subdivide a region using different subdivision schemes in 2D:

3D:

Subdivide a region with a specific scheme to a given level:

The "CatmullClark" scheme subdivides each quadrilateral into four quadrilaterals:

Other polygons will be subdivided into quadrilaterals, one per side:

The "Loop" scheme subdivides each triangle into four triangles:

The "QuadTri" scheme subdivides each quadrilateral and triangle into four quadrilaterals and triangles, respectively:

Other polygons will be subdivided into quadrilaterals:

The "Chaikin" scheme adds a new edge for each corner:

Use SubdivisionRegion to smooth coarse meshes designed for subdivision:

Perform minor modifications on the control mesh to affect many faces on the subdivided mesh:

Efficiently represent a high-fidelity model using a low poly base mesh:

The base mesh requires far less data to store than the explicitly subdivided result:

Create higher-level-of-detail models from a low-fidelity base mesh:

Lower-level-of-detail meshes can be used when the object takes up less screen space to improve render speeds while preserving visual fidelity:

Smoothly interpolate the coordinates of a control mesh in 2D:

3D:

Add additional geometric resolution to smooth meshes: