一种过控制顶点的二次均匀B样条曲线

Two Degree B-spline Curve Through Control Points

过型值点的曲线造型是CAD中很重要的内容已有研究,大多采用反求算法,而当型值点数增加或实时设计时,由于型值点很多,会导致反求方程组的阶数很大,从而产生计算量太大的问题。为此,对B样条基函数进行了研究,并对目前常用的B样条曲线进行改进,得到通过控制顶点的曲线。这种曲线又通过调整初始控制顶点进行形状修改,具有局部性,又不必作反求计算,故曲线形状修正很快,又能保证精度,可用于数控加工和辅助设计领域。

The construction of curve segments passing through the given data points is very important in CAD. The form and the base of B-spline curve have been improved. The new curve is through the control points, the shape of this curve is loud changed along with control points moving and need not reverse calculating, so the shape of curve charge quickly along with control points moving and can satisfy the precision. It can be applied to the numerical control and CAD, etc.