与给定多边形相切的G3-连续三角曲线

论述了与给定切线多边形相切的三角曲线,构造曲线是G~3连续的,且对切线多边形是保形的。三角曲线方法与传统的Bézier方法、B样条方法相比,具有光滑性好、切点的变动范围更大、无需额外信息、逼近性好等优点。最后,通过实例加以比较说明。

G3-CONTINUOUS TRIGONOMETRIC CURVE WITH GIVEN TANGENT POLYGON

This paper proposes an approach of constructing trigonometric curve with all edges tangent to a given control polygon. The curve that joined by piecewise as G3-continuity and shape-preserving to the tangent polygon.The trigonometric curve is more smooth, better approximation and none of additional information then the curve with Bezier method and B-Spline method. At last, a few examples illustrate that the method given in this paper is effective for CAGD.