### Abstract

The human body is probably the best example of a complex deformable figure. To generate a realistic object is a complex task and some mathematical methods are necessary in order to assist solving this problem. Spline methods have dominated the area of modeling complex articulated figures. The most popular of these methods is NURBS (Non Uniform Rational B-Splines) which is used by the majority of figure modelers due to its ability to control the shape of a surface by applying weights on the control points defining the object and not by altering their positions. However, spline methods, such as NURBS, have a drawback in defining surfaces containing multiple branches. The resulting surface has an "n-sided hole" at the joint of n branches. This paper proposes a solution to the triangular holes problem, which however, can be generalized to solve the n-sided-hole problem. The method fits a Sabin triangular patch in the hole and then applies subdivision spline methods to generate smooth and closed surfaces.

Original language | English |
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Title of host publication | AIP Conference Proceedings |

Publisher | American Institute of Physics Inc. |

Pages | 452-459 |

Number of pages | 8 |

Volume | 1629 |

ISBN (Electronic) | 9780735412682 |

DOIs | |

Publication status | Published - 2014 |

Event | 6th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2014 - Albena, Bulgaria Duration: 26 Jun 2014 → 1 Jul 2014 |

### Other

Other | 6th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2014 |
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Country | Bulgaria |

City | Albena |

Period | 26/06/14 → 1/07/14 |

### Keywords

- Geometric Modeling
- Patch Fitting
- Spline methods
- Subdivision methods

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## Cite this

*AIP Conference Proceedings*(Vol. 1629, pp. 452-459). American Institute of Physics Inc.. https://doi.org/10.1063/1.4902308