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
DOI: 10.12677/AAM.2019.87147, PDF,  被引量   
作者: 白根柱：浙江长征职业技术学院基础部，浙江 杭州
关键词: 轴线；异面；B-样条曲线；管道；光滑拼接；Axes； Non-Coplane； B-Spline Curve； Tubes； Smooth Blending
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。
Abstract: 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.
文章引用：白根柱. 基于轴线光滑拼接的轴线异面管道拼接技术[J]. 应用数学进展, 2019, 8(7): 1267-1271. https://doi.org/10.12677/AAM.2019.87147

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