空间曲线拟合算法的研究

在数控加工中，通常需要将空间曲线用合适的样条拟合出来，以方便加工．B样条概念于20世纪40年代由Sehoenberg提出后，已广泛应用于曲线、曲面的造型中．该文以变直径、变螺距的转向蜗杆的空间曲线为例，介绍了用B样条拟合空间曲线的方法，具体讨论了空间曲线反求控制点的计算方法，通过模拟仿真，该方法所拟合的曲线比较平整光滑、误差较小．用此方法拟合出的曲线可以直接用API得出加工程序．

The Research for the Space Curve's Direct Interpolation Arithmetic

In order to process conveniently,we need to fit out with suitable style space curve usually in (numerical) control processing.B pieces of concept by Schoenberg,have been applied to curve,the modellings of curved surface since the forties the 20th century.This article recommends B-fit the method of space curve by style one and by turning into the diameter,changes space curve of turning to the worm of pitch into the example,and has discussed the computing technologies of the control point instead in space curve concretely.Through (simulation) emulation,the space curve that this method fits is relatively levelled smooth and the error is relatively little.The curve draws the procedure of processing with API directly with this method.