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A Hermite interpolatory subdivision scheme for C2-quintics on the Powell-Sabin 12-split
| Content Provider | CiteSeerX |
|---|---|
| Author | Lychea, Tom Muntinghb, Georg |
| Abstract | In order to construct a C1-quadratic spline over an arbitrary triangulation, one can split each triangle into 12 subtriangles, resulting in a finer trian-gulation known as the Powell-Sabin 12-split. It has been shown previously that the corresponding spline surface can be plotted quickly by means of a Hermite subdivision scheme [5]. In this paper we introduce a nodal macro-element on the 12-split for the space of quintic splines that are locally C3 and globally C2. For quickly evaluating any such spline, a Hermite subdivision scheme is derived, implemented, and tested in the computer algebra sys-tem Sage. Using the available first derivatives for Phong shading, visually appealing plots can be generated after just a couple of refinements. 1. |
| File Format | |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |