### Abstract

Texture parameters computation on freeform surfaces is becoming an important topic in surface characterization. Triangular meshes are used to describe a measured freeform surface. This reconstruction method linearly interpolates three points, to better approximate the surface triangular Bézier patches are used. A method to compute areal texture parameters is proposed. Based on numerical experiments the degree of the function approximating the surface and the number of quadrature points required to compute parameters values are investigated.

Original language | English |
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Title of host publication | Advanced Mathematical and Computational Tools in Metrology and Testing XI |

Editors | Franco Pavese, Markus Baer, Jean-Remy Filtz, Alistair B. Forbes, Leslie Pendrill, Kastsuhiro Shirono |

Publisher | World Scientific Publishing Co. Pte Ltd |

Pages | 48-57 |

Number of pages | 10 |

Volume | 89 |

ISBN (Electronic) | 9789813274310 |

ISBN (Print) | 9789813274297 |

DOIs | |

Publication status | Published - 16 Dec 2018 |

### Publication series

Name | Advances in Mathematics and Applied Sciences |
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Publisher | World Scientific |

Volume | 89 |

ISSN (Print) | 1793-0901 |

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## Cite this

Pagani, L., & Scott, P. (2018). Triangular Bézier surface: From reconstruction to roughness parameter computation. In F. Pavese, M. Baer, J-R. Filtz, A. B. Forbes, L. Pendrill, & K. Shirono (Eds.),

*Advanced Mathematical and Computational Tools in Metrology and Testing XI*(Vol. 89, pp. 48-57). (Advances in Mathematics and Applied Sciences; Vol. 89). World Scientific Publishing Co. Pte Ltd. https://doi.org/10.1142/9789813274303_0005