Sfb 288 Differential Geometry and Quantum Physics

Hierarchical Triangulations 1
Multi-Parameter Families of Geometries

A surface represented as a hierarchical triangulation consists of a tree with a distinguished set of root nodes where each node corresponds to a triangle of the surface. The children of a node arise by bisectioning the triangle. So each layer of the tree corresponds to a finer representation of the surface than the previous layer.

Author: Axel Friedrich, Konrad Polthier