Name
Abstract | ||
|---|---|---|
By explicitly deriving the curvature of subdivision surfaces in the extraordinary points, we give an alternative, more direct account of the criteria necessary and sufficient for achieving curvature continuity than earlier approaches that locally parametrize the surface by eigenfunctions. The approach allows us to rederive and thus survey the important lower bound results on piecewise polynomial subdivision surfaces by Prautzsch, Reif, Sabin and Zorin, as well as explain the beauty of curvature continuous constructions like Prautzsch' s. The parametrization neutral perspective gives also additional insights into the inherent constraints and stiffness of subdivision surfaces. |
Year | DOI | Venue |
|---|---|---|
2000 | 10.1007/978-1-4471-0495-7_4 | IMA Conference on the Mathematics of Surfaces |
Keywords | Field | DocType |
mean curvature,subdivision surfaces,lower bound,subdivision surface | Topology,Curvature,Center of curvature,Mean curvature flow,Mathematical analysis,Constant-mean-curvature surface,Mean curvature,Principal curvature,Subdivision surface,Willmore energy,Physics | Conference |
ISBN | Citations | PageRank |
1-85233-358-8 | 9 | 1.09 |
References | Authors | |
6 | 2 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Jörg Peters | 1 | 267 | 33.10 |
| Georg Umlauf | 2 | 134 | 16.86 |