带有两个形状参数的Bézier曲线及其在管道拼接中的应用

Bézier Curve with Two Shape Parameters and Its Application in Blending Tubes

本文利用带有两个形状参数α,β的三次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,光滑拼接了两个半径相同的圆管道,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.

By using the adjustable property of the cubic Bézier curve with two shape parametersα,βand on the basis of the smooth blending the two same radius of tubes whose axes are non-coplanar lines,two circular tubes with the same radius are smoothly blended together,and a new blending tubes whose axes are non-coplanar lines are obtained.It has theoretical significance and application value.