Name
Abstract | ||
|---|---|---|
Three kinds of trigonometric bases are given in this paper. Based on these bases, three kinds of trigonometric spline curves with shape parameter are defined. Analogous to the quadratic B-spline curves, the curves are constructed with three consecutive control points for each curve segment. The curves posses many properties of the quadratic B-spline curve. Meanwhile, they have many better properties than the quadratic B-spline curve. For equidistant knots, they have continuity, and they have continuity when choosing special parameters. Besides, the curves are closer to the control polygon than the quadratic B-spline curves when the shape parameters satisfy certain conditions. In the last, the trigonometric spline surfaces with shape parameter are constructed. They have most properties of the corresponding curves. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1109/ESIAT.2009.132 | ESIAT (1) |
Keywords | Field | DocType |
continuity,computer application,polygon,corresponding curve,control point,trigonometric spline surface,consecutive control point,curves posse,curve segment,computational geometry,trigonometric spline curve,curve fitting,shape parameter,quadratic b-spline curve,control polygon,trigonometric basis,spline curve,trigonometric base,splines (mathematics),equidistant knot,shape,mathematics,information science,surface topography,satisfiability,data mining,surface reconstruction,spline,polynomials,mathematical model | Spline (mathematics),Family of curves,Control point,Curve fitting,Mathematical analysis,French curve,Quadratic equation,Geometric design,Shape parameter,Mathematics | Conference |
Volume | ISBN | Citations |
1 | 978-0-7695-3682-8 | 0 |
PageRank | References | Authors |
0.34 | 0 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Lanlan Yan | 1 | 17 | 2.68 |
| GuoGen Wu | 2 | 1 | 1.03 |
| Jiongfeng Liang | 3 | 17 | 2.68 |