带有两个形状参数的Bezier曲线及其在粗细不同轴线异面管道拼接中的应用
Bezier Curve with Two Shape Parameters and Its Application in the Splicing of Different Axis Pipelines
摘要:
本文借助于带有两个形状参数α，β的三次Bézier曲线能够调控特定控制顶点周围曲线的形状这一特性，先构造光滑拼接两个半径不同的轴线异面圆管道的轴线，再构造光滑拼接两个半径不同的圆管道的某两个母线，得到了光滑拼接两个轴线异面粗细不同的两个圆管道，得到了新的轴线异面粗细不同圆管道的拼接管道，具有理论意义和应用价值。
Abstract:
The two shape parameters α, β of cubic Bezier curves can adjust the shape of the curves near their specific control points. Using this property, we can smoothly blend two tubes with different radiuses and non-coplanar axes by first blending their axes and thus obtain the blending surface. This new method has both theoretical significance and application values.
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