带有给定切线多边形的三次Bézier闭曲线

Closed Bézier Curve With Given Tangent Polygon

讨论与给定切线多边形相切的分段三次Ｂéｚｉｅｒ曲线，所构造的曲线是Ｃ～１连续的，且对切线多边形是保形的；所有三次Ｂéｚｉｅｒ曲线段的控制点由切线多边形的顶点直接计算产生．最后以实例表明，本文的方法是有效的．

Propose an approach of constructing planar piecewise Bezier curve with all edges tangent to a given control polygon and the curve segments are joined together with C^1 continuity. The segmented Bézier curves all shape preserving to their tangent polygon. The all control points of the Bézier curve segments can be calculated simply by the vertices of the given tangent polygon. Finally a few numerical examples illustrate that the method given in this paper is effective.