Mesh Subdivision

**Goals of mesh subdivision:**

- Finer control for editing processes
- Required for finite element methods

**Terminology:**

*Refinement*is a topological operation, does not change the geometry (new vertices lie on the surface of the original mesh)*Subdivision*combines*refinement*with a geometric operation (eg. smoothing)

# Uniform refinement

## Rivera split

## Dyadical split

## $\sqrt{3}$ split

# Adaptive refinement

## Red-Green triangulation

## Adaptive $\sqrt{3}$-Refinement

# Curvature-continuous Subdivision

## Loop subdivision

## $\sqrt{3}$-Subdivision

page revision: 2, last edited: 17 Mar 2007 13:57