Title | **Reparameterization of curves and surfaces with respect to their convolution.** |

Author(s) | Bohumir Bastl, Miroslav Laviv cka, Zbigniew Jelonek |

Type | Book, Chapter in Book, Conference Proceeding |

Abstract | Given two parametric planar curves or surfaces we find their new parameterizations (which we call coherent) permitting to compute their convolution by simply adding the points with the same parameter values. Several approaches based on rational reparameterization of one or both input objects or direct computation of new parameterizations are shown. Using the Gröbner basis theory we decide the simplest possible way for obtaining coherent parametrizations. We also show that coherent parameterizations exist whenever the convolution hypersurface is rational. |

ISBN | 978-3-642-11619-3/pbk |

URL |
http://link.springer.com/chapter/10.1007%2F978-3-642-11620-9_19 |

Language | English |

Pages | 285--298 |

Publisher | Berlin: Springer |

Year | 2010 |

Edition | 0 |

Translation |
No |

Refereed |
No |