与给定多边形相切的一类含参数三角样条曲线  

A Class of Trigonometric Spline Curve with Shape Parameter and Given Tangent Polygon

作　　者：孙倩[1] 

机构地区：[1]安徽大学数学科学学院,安徽合肥230039

出　　处：《大学数学》2009年第1期57-60,共4页College Mathematics

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.

关 键 词：G连续 三角样条 切线多边形 形状参数 

分 类 号：O241.3[理学—计算数学]