Numerical proper reparametrization of parametric plane curves

作者：

Highlights：

• We introduce the problem of numerical improper parametrization of plane curves.

• The approximate improper index is firstly defined in this paper.

• A numerical algorithm is designed to find the approximate proper reparametrization.

• The relationship between the numerical curve and its reparametrization is well studied.

摘要

•We introduce the problem of numerical improper parametrization of plane curves.•The approximate improper index is firstly defined in this paper.•A numerical algorithm is designed to find the approximate proper reparametrization.•The relationship between the numerical curve and its reparametrization is well studied.

论文关键词：Rational curve,Approximately improper,Proper reparametrization

论文评审过程：Received 31 December 2013, Revised 5 September 2014, Available online 3 October 2014.

论文官网地址：https://doi.org/10.1016/j.cam.2014.09.012