### Abstract

Curve offsets are important objects in computer-aided design. We study the algebraic properties of the offset to an algebraic curve, thus obtaining a general formula for its degree. This is applied to computing the degree of the offset to conics. We also compute an implicit equation of the generalised offset to a conic by using sparse resultants and the knowledge of the degree of the implicit equation.

Original language | English |
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Title of host publication | Lecture Notes in Computer Science |

Volume | 3480 |

Publisher | Springer Berlin / Heidelberg |

Publication date | 2005 |

Pages | 683-696 |

Publication status | Published - 2005 |

Externally published | Yes |

## Cite this

Anton, F., Emiris, I., Mourrain, B., & Teillaud, M. (2005). The offset to an algebraic curve and an application to conics. In

*Lecture Notes in Computer Science*(Vol. 3480, pp. 683-696). Springer Berlin / Heidelberg.