NURBS曲线的收敛性分析

摘要

This short note presents the convergence analysis ofa NURBS curve when one of the weights goes to infinity.Limits are considered using point-wise,uniform and L1 convergence.Based on notion and properties of homeorphism,the L1 convergence for higher degree rational parametric curves is investigated.%主要对NURBS参数曲线关于权因子wi→∞时的收敛性进行分析.主要讨论了NURBS参数曲线的一致收敛性、非一致收敛性、逐点收敛性.基于同胚的概念与性质,给出了高次有理参数曲线的L1收敛的分析.