Injectivity of NURBS curves
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摘要
The injectivity of NURBS curve implies the curve has no self-intersection. In this paper, we propose a geometric condition on the control polygon which guarantees the NURBS curve to be injective for all possible choices of positive weights. The proof is based on the degree elevation algorithm and toric degeneration theory of NURBS curve.
论文关键词：65D17,68U07,NURBS curve,Injectivity,Self-intersection,Control polygon
论文评审过程：Received 11 June 2015, Revised 10 November 2015, Available online 10 February 2016, Version of Record 26 February 2016.
论文官网地址：https://doi.org/10.1016/j.cam.2016.01.046
