A note on convergence analysis of NURBS curve when weights approach infinity
arXiv:1604.04646h-index: 3
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Provides a theoretical clarification for geometric modeling practitioners regarding the behavior of NURBS curves under extreme weight values.
The paper proves that the limit of a NURBS curve does not exist when weights approach infinity, and analyzes pointwise, uniform, and L1 convergence.
This article considers the convergence of NURBS curve when weights approach infinity. We shows that limit of NURBS curve dose not exist when independent variables weights approach infinity. Further, pointwise convergence uniform convergence and $L^1$ convergence are researched.