拟三次B样条曲线及其应用

Quasi-Cubic B-Spline Curve and Its Application

本文利用B样条曲线对于特定控制顶点附近曲线的形状具有局部控制与参数连续性特性,构造了一段带有形状参数的过控制多边形的两个端点且与始末两条边相切的拟三次B样条曲线,在光滑拼接两个轴线异面圆管道的轴线的基础上,构造了光滑拼接两个轴线异面的管道,得到了新的轴线异面管道的拼接管道。

B-spline curve has local controlling and parameter continuity property at the near specific control vertices. We construct a quasi-cubic B-spline curve, which is a piece of interpolation with shape parameters and the specified vertex and tangent to the specified two edges. On the basis of the smooth blending, the axes of two tubes whose axes are non-coplanar lines, smooth blending two tubes whose axes are non-coplanar lines are also constructed. Finally, a new blending tube between the two tubes whose axes are non-coplanar lines is obtained.