An Iterative Algorithm of NURBS Interpolation and Approximation
An Iterative Algorithm of NURBS Interpolation and Approximation
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发表时间：
2006
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通讯作者：
Li-min Shi
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作者：
Li-min Shi
论文[1]给出了B样条插值和逼近的迭代算法。本文对此结果进行推广，提出了一种NURBS插值和逼近的迭代算法。利用该算法，可以直接得到逼近的NURBS曲线或曲面，而无需求解线性系统来计算权重和控制点。该算法与论文[1]中的算法一致，后者本质上只是前者的退化形式。本文向我们展示了这种方法是可行的。
Paper[1]gave out the iterative algorithm of B-spline interpolation and approximation.In this paper,we generalize this result and present an iterative algorithm of NURBS interpolation and approximation.Using this algorithm,we can get the approximated NURBS curve or surface directly without solving a linear system to compute the weights and control points.This algorithm is consistent with the algorithm in paper[1]and the latter is just the degenerate form of the former in essence.The numerical examples in this paper show us this method is feasible.