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 thi...
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