Name
Abstract | ||
|---|---|---|
Cubic trigonometric polynomial curves with a shape parameter are presented in this paper. The trigonometric polynomial curves are C2 continuous and G3 continuous with a non-uniform knot vector. With a uniform knot vector, the trigonometric polynomial curves are C3 continuous for the shape parameter λ ≠ 1 and C5 continuous for λ = 1. With the shape parameter, the trigonometric polynomial curves can be close to the cubic B-spline curves or closer to the given control polygon than the cubic B-spline curves. The trigonometric polynomial curves also can be decreased to quadratic trigonometric polynomial curves which can represent ellipses. The trigonometric Bézier curve and trigonometric polynomial interpolation are also discussed. |
Year | DOI | Venue |
|---|---|---|
2004 | 10.1016/j.cagd.2004.03.001 | Computer Aided Geometric Design |
Keywords | Field | DocType |
B-splines,trigonometric polynomial interpolation,control polygon,Trigonometric polynomial,cubic trigonometric polynomial curve,trigonometric polynomial,non-uniform knot vector,Shape parameter,trigonometric B,uniform knot vector,cubic B-spline curve,trigonometric polynomial curve,shape parameter,Trigonometric curve | Topology,Trigonometric polynomial,Mathematical analysis,Shape parameter,Knot (unit),Mathematics | Journal |
Volume | Issue | ISSN |
21 | 6 | Computer Aided Geometric Design |
Citations | PageRank | References |
6 | 0.62 | 5 |
Authors | ||
1 | ||