## Abstract

Quadratic Bézier curves are important geometric entities in many applications. However, it was often ignored by the literature the fact that a single segment of a quadratic Bézier curve may fail to fit arbitrary endpoint unit tangent vectors. The purpose of this paper is to provide a solution to this problem, i.e., constructing G1 quadratic Bézier curves satisfying given endpoint (positions and arbitrary unit tangent vectors) conditions. Examples are given to illustrate the new solution and to perform comparison between the G1 quadratic Bézier cures and other curve schemes such as the composite geometric Hermite curves and the biarcs.

Original language | English |
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Title of host publication | Proceedings - 2009 11th IEEE International Conference on Computer-Aided Design and Computer Graphics, CAD/Graphics 2009 |

Pages | 263-267 |

Number of pages | 5 |

DOIs | |

State | Published - 2009 |

Event | 2009 11th IEEE International Conference on Computer-Aided Design and Computer Graphics, CAD/Graphics 2009 - Huangshan, China Duration: Aug 19 2009 → Aug 21 2009 |

### Publication series

Name | Proceedings - 2009 11th IEEE International Conference on Computer-Aided Design and Computer Graphics, CAD/Graphics 2009 |
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### Conference

Conference | 2009 11th IEEE International Conference on Computer-Aided Design and Computer Graphics, CAD/Graphics 2009 |
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Country/Territory | China |

City | Huangshan |

Period | 8/19/09 → 8/21/09 |

## Keywords

- Endpoint condition
- Geometric continuity
- Quadratic beźier curve
- Smoothness

## ASJC Scopus subject areas

- Computer Graphics and Computer-Aided Design
- Software

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