Numerous mesh algorithms such as parametrization, radiosity, and collision detection require the decomposition of meshes into a series of clusters. In this paper we present two novel approaches for maintaining mesh clusterings on dynamically deforming meshes. The first approach maintains a complete face cluster tree hierarchy using a randomized data structure. The second algorithm maintains a mesh decomposition for a fixed set of clusters. With both algorithms we are able to maintain clusterings on dynamically deforming surfaces of over 100K faces in fractions of a second. Categories and Subject Descriptors (according to ACM CCS): I.3.3 [Computer Graphics]: Geometric algorithms
Nathan A. Carr, John C. Hart