## Geometric Modelling: Dagstuhl 1999Geometric Modelling is concerned with the computer aided design, manipulation, storage and transmission of geometric shape. It provides fundamental techniques to different areas of application as CAD/CAM, computer graphics, scientific visualization, and virtual Reality. 20 papers presented by leading experts give a state-of-the-art survey of the following topics: surface design and fairing; multiresolution models; reverse engineering; solid modelling; constrained based modelling. |

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### Contents

Converting Orthogonal Polyhedra from Extreme | 3 |

Smooth Shell Construction with Mixed Prism | 19 |

Geometric Modeling of Parallel Curves on Surfaces | 37 |

Computing Volume Properties | 55 |

Bisectors and aSectors of Rational | 73 |

Piecewise Linear Wavelets Over Type2 | 89 |

FeatureBased Matching | 105 |

Blossoming and Divided Difference | 155 |

Surface Reconstruction | 199 |

An Algorithm to Triangulate Surfaces in 3D Using Unorganised | 219 |

Cylindrical Surface Pasting | 248 |

A Geometrically Motivated Affine Invariant Norm 267 | 269 |

Exploiting Wavelet Coefficients for Modifying Functions | 281 |

Schatzl R Hagen H Barnes J C Hamann B Joy K I | 309 |

Implicit Surfaces | 325 |

Localizing the 4Split Method | 185 |

### Other editions - View all

Geometric Modelling: Dagstuhl 1999 Computing Supplement 14 G. Brunnett,H. Bieri,G. Farin Limited preview - 2012 |

### Common terms and phrases

a-sector Aided Geom algorithm approximation arbitrary asymptotic axioms B-spline base surface basis functions Bezier bisector bisector surface blending boundary conditions boundary curves boundary polygon clusters coarse matching coefficients Comput constraints construction control points convex hull curvature cylinder data set decomposition defined degree Delaunay triangulation denote derivative distance divided difference dual functionals e-mail edge equations error example extended blossom feature Figure formula geodesic geodesic curvature geometric modeling given graph Graphics hand side integral interpolation intersection knot Lemma linear Loewner ellipsoid low-discrepancy low-discrepancy sequences mapping matrix mesh method Monte Carlo method norm number of points obtained octree offset curve orthogonal parallel curve parameters patches piecewise plane point set polynomial primary surfaces Proof radius rational surface refinement result sample points Section semi-wavelet sequence shape shown in Fig space sphere splines step surface of revolution surface pasting surface reconstruction tangent Theorem tiles values vertex vertices volume wavelet

### Popular passages

Page 351 - The authors would like to thank the anonymous reviewers for their helpful comments that undoubtedly improve this paper.