带有给定切线多边形的C~2连续的C-B样条曲线

描述了一种与给定切线多边形相切的 C- B样条曲线的算法 .在算法中 ,所有的 C- B样条曲线的控制点可以通过对切线多边形的顶点简单计算产生 .所构造的曲线对切线多边形具有保形性 ,曲线可以局部修改 .最后给出了三个算例 .

C~2 Continuous C-B-spline Curves with Given Tangent Polygons

In this paper, an algorithm for constructing C-B-spline curve which is tangent to the given polygon is described. The control points of the C-B-spline to be constructed are computed simply by the vertices of the given tangent polygon. The constructed curves are shape-preserving to the tangent polygons. The local modification to the C-B-spline curve can be completed by simply adjusting the corresponding control parameters. Three examples are included.