Name
Abstract | ||
|---|---|---|
It has long been known how to achieve bounded curvature at extraordinary points of a subdivision scheme by using eigenanalysis and then adjusting the mask of each extraordinary point. This paper provides an alternative insight, based on the use of second divided differences, and applies it to three familiar schemes. A single concept is shown to work in three different contexts. In each case a bounded curvature variant results, with a very simple and elegant implementation. |
Year | DOI | Venue |
|---|---|---|
2007 | 10.1007/978-3-540-73843-5_24 | IMA Conference on the Mathematics of Surfaces |
Keywords | Field | DocType |
different context,bounded curvature subdivision,divided difference,extraordinary point,familiar scheme,bounded curvature,elegant implementation,alternative insight,single concept,subdivision scheme,bounded curvature variant result | Topology,Pure mathematics,Divided differences,Subdivision surface,Subdivision,Mathematics,Bounded curvature | Conference |
Volume | ISSN | Citations |
4647 | 0302-9743 | 2 |
PageRank | References | Authors |
0.37 | 6 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Malcolm A. Sabin | 1 | 358 | 60.06 |
| Thomas J. Cashman | 2 | 167 | 9.69 |
| Ursula H. Augsdorfer | 3 | 2 | 0.37 |
| Neil A. Dodgson | 4 | 723 | 54.20 |