有理Bézier曲线及其在粗细不同管道拼接中的应用
Rational Bézier Curve and Its Application in Blending of Thickness Different Tubes
DOI: 10.12677/AAM.2018.79130, PDF,    国家自然科学基金支持
作者: 陶吐格, 乌仁高娃：内蒙古通辽职业学院，内蒙古 通辽；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；有理Bézier曲线；轴线；管道；光滑拼接；Shape Parameters； Rational Bézier Curve； Axis； Tubes； Smooth Blending
摘要: 本文利用有理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不同的轴线异面圆管道的轴线的基础上，分别构造了G0拼接了两个半径不同两个轴线异面的圆管道和G1拼接了两个半径不同的圆管道，得到了新的轴线异面管道的拼接管道，具有理论意义和应用价值。
Abstract: In this paper, the rational Bézier curve can be adjusted and controlled in the shape of a curve near a particular control point. Then, on the basis of the smooth blending circular tubes with the two different radiuses, the axes of the tubes are non-coplanar lines. The blending tubes that meet the conditions of G0 and G1 are constructed separately. A new tubes blending is obtained. It has theoretical significance and application value.
文章引用：陶吐格, 乌仁高娃, 王芳, 白根柱. 有理Bézier曲线及其在粗细不同管道拼接中的应用[J]. 应用数学进展, 2018, 7(9): 1127-1132. https://doi.org/10.12677/AAM.2018.79130

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