摘要
基于一类与给定多边形相切的三角样条曲线,通过在基函数中引入形状参数λ,在保持原曲线的光滑性及其他基本性质不变的条件下,构造出一类能自由调控曲线形态的含参数三角样条曲线,并结合图例讨论了其相关性质.
By introducing shape parameter λ to the trigonometric function bases, this paper constracts a kind of trigonometric spline curve with shape parameter and given tangent polygon by a class of trigonometric spline curve, the curve that joined by piecewise as G3-continuity and shape-preserving to the tangent polygon. At last, its characters are discussed combining the graphics examples.
出处
《大学数学》
2009年第1期57-60,共4页
College Mathematics
关键词
G连续
三角样条
切线多边形
形状参数
G3-continuity
trigonometric spline
tangent polygon
shape parameter
