Title | **Numerical proper reparametrization of parametric plane curves** |

Author(s) | Sonia Perez-Diaz, Li-Yong Shen |

Type | Article in Journal |

Abstract | Abstract We present an algorithm for reparametrizing algebraic plane curves from a numerical point of view. More precisely, given a tolerance ϵ > 0 and a rational parametrization P of a plane curve C with perturbed float coefficients, we present an algorithm that computes a parametrization Q of a new plane curve D such that Q is an ϵ –proper reparametrization of D . In addition, the error bound is carefully discussed and we present a formula that measures the “closeness” between the input curve C and the output curve D . |

Keywords | Rational curve, Approximately improper, Proper reparametrization |

ISSN | 0377-0427 |

URL |
http://www.sciencedirect.com/science/article/pii/S0377042714004087 |

Language | English |

Journal | Journal of Computational and Applied Mathematics |

Volume | 277 |

Number | 0 |

Pages | 138 - 161 |

Year | 2015 |

Edition | 0 |

Translation |
No |

Refereed |
No |