摘要
讨论了用三次均匀B样条曲线光滑拼接轴线异面管道的轴线问题,首先通过特征多边形的顶点的约束使B样条曲线通过控制多边形的顶点,且与控制多边形的边相切。这样可以构造光滑拼接两个轴异面圆管道的轴线的分段三次均匀B样条曲线,进而构造了以B-样条曲线为轴线的圆管道,实现了以B-样条曲线为轴线的圆管道光滑拼接轴线异面圆管道的光滑拼接。
The problem of smooth blending axes of non-coplanar tubes with cubic uniform B-spline curve is discussed.By the constraint of the control polygon,let B-spline curve pass through the vertices of the control polygon,and the curve is tangent to the edge of the control polygon.In this way,a piecewise cubic uniform B-spline curve can be constructed.Thus,this curve will be smoothly blended between axes of two non-coplanar tubes.And then,a smooth blending circular tube that takes B-spline curve as its axis is obtained.
出处
《应用数学进展》
2019年第7期1267-1271,共5页
Advances in Applied Mathematics
