Name
Abstract | ||
|---|---|---|
NURPS surfaces are the rational extension of Powell-Sabin splines in their normalized B-spline representation. In this paper we study the influence of modifying the weights of a NURPS surface. We describe the relation between the weights associated with a control triangle and the points on the NURPS surface by means of a double volume ratio. We also extend the concept of Farin points for rational Bezier curves to NURPS surfaces, resulting in weight points and weight triangles. They admit a local weight control in a geometrically intuitive way. |
Year | DOI | Venue |
|---|---|---|
2007 | 10.1016/j.cagd.2007.01.005 | Computer Aided Geometric Design |
Keywords | Field | DocType |
68u07,weight control,nurps surface,weight point,farin point,: nurps,double volume ratio,weight points amsmos classication : primary : 65d07,weight triangle,control triangle,secondary : 65d17,local weight control,rational splines,weight points,rational bezier curve,rational extension,powell-sabin spline,nurps | B-spline,Spline (mathematics),Topology,Polynomial interpolation,Curve fitting,Computer Aided Design,Triangulation (social science),Bézier curve,Surface-area-to-volume ratio,Mathematics | Journal |
Volume | Issue | ISSN |
24 | 3 | Computer Aided Geometric Design |
Citations | PageRank | References |
2 | 0.43 | 8 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Hendrik Speleers | 1 | 236 | 24.49 |
| Paul Dierckx | 2 | 96 | 12.28 |
| Stefan Vandewalle | 3 | 501 | 62.63 |