有理Bézier曲线及其应用
Rational Bézier Curve and Its Application
DOI: 10.12677/AAM.2017.68112, PDF, HTML, XML,  被引量 下载: 1,479  浏览: 6,937  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: 有理Bézier曲线；光滑拼接；轴线；管道；Rational Bézier Curves； Blending； Axes； Tubes
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。
Abstract: 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.
文章引用：王芳, 白根柱. 有理Bézier曲线及其应用[J]. 应用数学进展, 2017, 6(8): 935-941. https://doi.org/10.12677/AAM.2017.68112

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