Name
Abstract | ||
|---|---|---|
This paper deals with G^1 Hermite interpolation by the Tschirnhausen cubic. In Meek and Walton (1997a), the explicit formulas for finding an arc of Tschirnhausen cubic which interpolates given Hermite interpolation data were given. In this paper, we extend these results to more general input data and refine on the results presented in Meek and Walton (1997a). Furthermore, we present a thorough analysis of the number and the quality of the interpolants; particularly if they contain a loop or not. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1016/j.cagd.2010.06.004 | Computer Aided Geometric Design |
Keywords | Field | DocType |
tschirnhausen cubic,g1 hermite interpolation,explicit formula,paper deal,bézier curve,ph cubics revisited,hermite interpolation,hermite interpolation data,general input data,ph cubic,thorough analysis,bezier curve | Topology,Polynomial interpolation,Multivariate interpolation,Interpolation,Monotone cubic interpolation,Bézier curve,Tschirnhausen cubic,Cubic Hermite spline,Hermite interpolation,Mathematics | Journal |
Volume | Issue | ISSN |
27 | 8 | Computer Aided Geometric Design |
Citations | PageRank | References |
12 | 0.61 | 13 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Marek Byrtus | 1 | 17 | 1.40 |
| Bohumír Bastl | 2 | 136 | 10.49 |