拟三次Bézier曲线及其在管道拼接中的应用
Cubic Quasi-Bezier Curve and Its Application in Surface Blending
DOI: 10.12677/AAM.2018.76085, PDF,  被引量    国家自然科学基金支持
作者: 王 芳：浙江长征职业技术学院，浙江 杭州；白根柱*：内蒙古民族大学，内蒙古 通辽
关键词: 形状参数；拟三次Bézier曲线；轴线；管道；光滑拼接；Shape Parameters； Cubic Quasi-Bézier Curves； Axes； Pipes； Blending
摘要: 本文利用带有形状参数α,β,γ的拟三次Bézier曲线对于特定控制顶点附近曲线的形状具有调控特性，在光滑拼接两个半径相同的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圆管道，得到了新的轴线异面管道的拼接管道，扩大了应用范围。
Abstract: Cubic quasi-Bézier curves with three shape parameters α,β,γ can adjust the shape of curves near specific control points. In this study, given two pipes of same radius and non-coplanar axes, we first blend the axes of the two pipes using the property of quasi-Bézier curves and further construct the surface that blends the two pipes.
文章引用：王芳, 白根柱. 拟三次Bézier曲线及其在管道拼接中的应用[J]. 应用数学进展, 2018, 7(6): 709-713. https://doi.org/10.12677/AAM.2018.76085

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