Construction of dual B-spline functions

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摘要

Using new properties of dual functions, we show that the method of constructing the dual bases recently presented in [P. Woźny, Construction of dual bases, Journal of Computational and Applied Mathematics 245 (2013) 75–85] can be significantly simplified. Next, we propose a simple algorithm of constructing the dual B-spline functions, which can be useful in solving some approximation problems related to numerical analysis or computer graphics.

论文关键词:Dual bases,B-spline functions,Dual B-spline functions,Least squares approximation,Degree reduction,Knots removal

论文评审过程:Received 18 May 2013, Revised 3 October 2013, Available online 15 October 2013.

论文官网地址:https://doi.org/10.1016/j.cam.2013.10.003