Preprint A406/2005
Topological Mesh Operators
Geovan Tavares | Velho, Luiz | Lopes, Helio | Medeiros, Esdras | Lewiner, Thomas
Keywords: Geometric Modeling | Handle Operators | Stellar Operators
In this paper we introduce an unified framework for basic operations on combinatorial 2-manifolds with or without boundary. We show that there are two kinds of primitive operators on the underlying meshes: operators which change the topological characteristic of the mesh and operators which just modify its combinatorial structure. We present such operators and demonstrate that they provide a complete set of elementary operations for mesh modification. We also give a description of the algorithms and data structures for an efficient implementation of these operators.