节点矢量 meaning in English
knot vector
Examples
- To interpolate the given ship offset data , the ship - hull surface is represented successfully by nurbs . the boundary conditions computation and knots vector construction are detailed in nurbs curve and surface interpolation
本文根据船体型值表的数据，用nurbs曲面来描述完整船体曲面，对插值曲面边界条件构造及节点矢量计算进行了研究，实现了船体曲线曲面的nurbs表达。 - 3 ) b - spline surface fitting to contour data is studied . a fitting method of using uniform knot vector is given . using this method , the resulted b - spline s urface not only satisfy the requirements of precision , but also possess fewer c ontrol vertices and good fairness , the computation speed is greatly improved t oo
3 )研究了逐层扫描数据的曲面拟合问题，给出了一种是利用统一的节点矢量进行拟合的算法，用该法得到的b样条曲面不仅可以满足精度要求，而且具有较少的控制顶点和较好的光顺性，计算速度也有较大的提高。 - Another algorithm is based on pixels : sample many points along the curve , round them to the nearest integer and set each pixel the computed point falls in . although this algorithm uses integer arithmetic , it provides the smooth curve possible at the expense of computation time as many points have to be computed to ensure that no gaps are created along the curve . furthermore these two algorithms we mentioned above is appropriate for low degree parametric curves , for high degree parametric curves , we usually approach them by using low degree rational parametric curves , the generating curve ' s fairness property is not very good
我们知道当节点矢量的两端节点均为k重节点且无内节点时， b样条基函数退化为bemstein多项式，因此该生成算法还可推广到b能ier曲线中，具有广泛的应用价值、同样地，在cad和cagd中，有理b样条曲线，特别是非均匀有理b样条曲线( nurbs )已经成为曲线曲面设计中最广为流行的技术，然而对这些曲线目前也尚无很好的曲线生成算法，因此有理b样条曲线的生成算法无疑有着更重要的意义