Name
Abstract | ||
|---|---|---|
The conditions for subdivision surfaces which are piecewise polynomial in the regular region to have continuity higher than C1 were identified by Reif [7]. The conditions are ugly and although schemes have been identified and implemented which satisfy them, those schemes have not proved satisfactory from other points of view. This paper explores what can be created using schemes which are not piecewise polynomial in the regular regions, and the picture looks much rosier. The key ideas are (i) use of quasi-interpolation (ii) local evaluation of coefficients in the irregular context. A new method for determining lower bounds on the Holder continuity of the limit surface is also proposed. |
Year | Venue | Field |
|---|---|---|
2016 | MMCS | Polynomial,Pure mathematics,Subdivision surface,Hölder condition,Piecewise,Mathematics |
DocType | Citations | PageRank |
Conference | 0 | 0.34 |
References | Authors | |
0 | 1 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Malcolm A. Sabin | 1 | 358 | 60.06 |