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NURBS 曲线的收敛性分析

  

  • 出版日期:2013-08-30 发布日期:2015-06-18

The Convergence Analysis for NURBS Curve

  • Online:2013-08-30 Published:2015-06-18

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摘要： 主要对NURBS 参数曲线关于权因子i
   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。

关键词: NURBS 曲线, 同胚, 收敛, 庞加莱猜想

Abstract: This short note presents the convergence analysis of a 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.

Key words: NURBS curve, homeomorphism, convergence, Poincaré, conjectures