Name
Abstract | ||
|---|---|---|
Derivatives and normals of rational Bézier curves and surface patches are discussed. A non-uniformly scaled hodograph of a degree m × n tensor-product rational surface, which provides correct derivative direction but not magnitude, can be written as a degree (2 m − 2) × 2 n or 2 m × (2 n − 2) vector function in polynomial Bézier form. Likewise, the scaled normal direction is degree (3 m − 2) × (3 n − 2). Efficient methods are developed for bounding these directions and the derivative magnitude. |
Year | DOI | Venue |
|---|---|---|
1995 | 10.1016/0167-8396(94)00023-L | Computer Aided Geometric Design |
Keywords | Field | DocType |
normal vectors,rational surfaces,rational curves,rational curve,hodographs,hodograph,bezier curves,tensor product | Topology,Magnitude (mathematics),Polynomial,Mathematical analysis,Rational surface,Bézier curve,Vector-valued function,Hodograph,Geometry,Normal,Mathematics,Bounding overwatch | Journal |
Volume | Issue | ISSN |
12 | 4 | Computer Aided Geometric Design |
Citations | PageRank | References |
16 | 2.43 | 3 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Takafumi Saito | 1 | 180 | 23.77 |
| Guojin Wang | 2 | 533 | 46.42 |
| thomas w sederberg | 3 | 2330 | 466.48 |