摘要
本文利用有理Bézier曲线光滑拼接两个轴线异面圆管道的轴线,进而构造了光滑拼接两个轴线异面的半径相同圆管道,并适当选择对应控制顶点的权因子可调节轴线靠近或远离控制多边形,以利于应用。
Our study introduces rational Bézier curves to blend the axes of two tubes with non-coplanar axes. Furthermore, our method constructs blended tubes with the same radius but non-coplanar axes. By choosing appropriate weight factors for the corresponding control vertices, we can control the distances between the axes and the control polygons. Our method could be favorable in application.
出处
《应用数学进展》
2017年第8期935-941,共7页
Advances in Applied Mathematics
基金
浙江省教育厅一般项目资助(Y201636628)
国家自然科学基金项目资助(11561052)。