### Abstract

Sub-division splines generate a number of new control points calculated fron the old control points. Both control polygons/grids define the same curve/surface. At each iteration the resulting new points are much greater in number than the old points and lie nearer to the actual curves. After a number of iterations, the generated points lie on the actual curve, very close to each other, and by displaying them on a computer screen the result is a smooth curve/surface. This paper describes a method, which is an extension to the Bezier sub-division method, where the resulting curve is an approximation curve which interpolates only the first and the last control points. The method is also derived for surfaces.

Original language | English |
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Title of host publication | GRAPP 2008 - Proceedings of the 3rd International Conference on Computer Graphics Theory and Applications |

Pages | 143-146 |

Number of pages | 4 |

Publication status | Published - 2008 |

Event | GRAPP 2008 - 3rd International Conference on Computer Graphics Theory and Applications - Funchal, Madeira, Portugal Duration: 22 Jan 2008 → 25 Jan 2008 |

### Other

Other | GRAPP 2008 - 3rd International Conference on Computer Graphics Theory and Applications |
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Country | Portugal |

City | Funchal, Madeira |

Period | 22/01/08 → 25/01/08 |

### Keywords

- Curves
- Geometric modelling
- Splines
- Surfaces

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## Cite this

*GRAPP 2008 - Proceedings of the 3rd International Conference on Computer Graphics Theory and Applications*(pp. 143-146)