Richard Bartels

We consider regular geometric subdivisions. These combine the refinement of a regular lattice with a regular pattern of affine transformations applied to geometric data associated with the nodes of the lattice. Such subdivisions are used in computer...

Mesh subdivisions are used frequently to build objects and characters for computer animation, computer games, and industrial computer-aided geometric design. The design process starts with a coarse-mesh model of an object, and the mesh is refined and...