Name
Abstract | ||
|---|---|---|
Quadratic trigonometric spline curves with multiple shape parameters are presented in this paper. Analogous to the cubic B-spline curves, each trigonometric spline curve segment is generated by four consecutive control points. The trigonometric spline curves with a non -uniform knot vector are C-1 continuous. With a uniform knot vector, the trigonometric spline curves are C continuous when all shape parameter lambda(i) = 1. Taking different values of the shape parameters, one can globally or locally adjust the shapes of the curves, so that the trigonometric spline 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 spline curves also can represent ellipse and generate a family of ellipse with the same control points. A quadratic trigonometric Bier curves are also introduced as a special case of the given trigonometric spline curves. |
Year | DOI | Venue |
|---|---|---|
2007 | 10.1109/CADCG.2007.4407918 | PROCEEDINGS OF 2007 10TH IEEE INTERNATIONAL CONFERENCE ON COMPUTER AIDED DESIGN AND COMPUTER GRAPHICS |
Keywords | Field | DocType |
shape parameter,bezier curve,vectors,computational geometry,curve fitting,computer graphics | Mathematical optimization,Thin plate spline,Family of curves,Hermite spline,Spline interpolation,Mathematical analysis,Smoothing spline,Flat spline,Cubic Hermite spline,Mathematics,Trigonometric integral | Conference |
Volume | Issue | Citations |
null | null | 4 |
PageRank | References | Authors |
0.51 | 3 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Xiaoqin Wu | 1 | 4 | 0.51 |
| Xuli Han | 2 | 159 | 22.91 |
| Shanmin Luo | 3 | 4 | 0.51 |