基于轴线光滑拼接的轴线异面管道拼接技术  

Blending Technology of Tubes with Non-Coplanar Axes Based on Smooth Blending Axis

作　　者：白根柱 

机构地区：[1]浙江长征职业技术学院基础部,浙江杭州 [2]内蒙古民族大学数学学院,内蒙古通辽

出　　处：《应用数学进展》2019年第7期1267-1271,共5页Advances in Applied Mathematics

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.

关 键 词：轴线 异面 B-样条曲线 管道 光滑拼接 

分 类 号：TP39[自动化与计算机技术—计算机应用技术]