An Iterative Algorithm of NURBS Interpolation and Approximation
Received:November 12, 2004  
Key Words: B-spline   NURBS   scattered data fitting   iterative.  
Fund Project:the National Natural Science of China (69973010, 10271022, 60373093)
Author NameAffiliation
SHI Li-min Department of Mathematics, Shanxi University, Taiyuan 030006, China 
WANG Ren-hong Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China 
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      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.
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