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An automatic and local fairing algorithm for bicubic B-spline surfaces is proposed. A local fairness criterion selects the knot, where the spline surface has to be faired. A fairing step is than applied, which locally modifies the control net by a constrained least-squares approximation. It consists of increasing locally the smoothness of the surface from C^2 to C^3. Some extensions of this method are also presented, which show how to build further methods by the same basic fairing principle. |

Stefanie Hahmann,

in G. Farin, H. Bieri, G. Brunett, T. DeRose (Eds.), Geometric Modelling,

Computing [Suppl], Vol. 13, Springer-Verlag, 1998, pp. 135-152, (1998)

Unfair surface,225 control points. |
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Faired surface after 500 iterations. |

Unfair surface, 400 control points. |
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Faired surface after 5000 iterations. |

Unfair surface, 525 control points. |
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Faired surface after 6000 iterations. |

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