摘要
给出了带有参数λ的三次三角多项式样条曲线。与二次B样条曲线类似,曲线的每一段由相继的三个控制顶点生成;对于等距节点,在一般情形下,曲线达到了C1连续;而当λ=1时,曲线达到了C3连续。λ有明确的几何意义,λ越大,曲线越逼近控制多边形。实例表明,所给曲线为曲线/曲面的设计提供了一种有效的方法。
Cubic trigonometric polynomial spline curves with a shape parameter are presented in this paper. Analogous to the quadratic Bspline curves,each trigonometric polynomial curve segment is generated by three consecutive control points. For equidistant knots,the trigonometric polynomial spline cures are C^1 continuous,when λ = 1 ,the curves are C^3 continuous. Parameter λ has the property of geometry,the larger is the λ,the more approach are the curves to the control polygon. Examples illustrate the given curve is very useful for curve/surface design.
出处
《计算机应用与软件》
CSCD
北大核心
2007年第4期62-63,89,共3页
Computer Applications and Software
基金
湖南教育厅资助项目(编号:04C215)。
关键词
样条曲线
三角多项式
参数
曲面
Spline curve Trigonometric polynomial Parameter
