Geometric Modelling Dagstuhl 1999 Computing Supplement 14

Geometric 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.

Converting Orthogonal Polyhedra from Extreme Vertice s Model to B-Rep and to Alternat ing Sum of Volumes.- Smooth Shell Construction with Mixed Prism Fat Surfaces.- Geometric Modeling of Parallel Curves on Surfaces.- Computing Volume Properties Using Low-Discrepancy Sequences.- Bisectors and ?-Sectors of Rational Varieties.- Piecewise Linear Wavelets Over Type-2 Triangulations.- Feature-Based Matching of Triangular Meshes.- C4 Interpolatory Shape-Preserving Polynomial Splines of Variable Degree.- Blossoming and Divided Difference.- Localizing the 4-Split Method for G1 Free-Form Surface Fitting.- Surface Reconstruction Using Adaptive Clustering Methods.- An Algorithm to Tri angul ate Surface s in 3D Using Unorganised Point Clouds.- Cylindrical Surface Pasting.- A Constraint-Based Method for Sculpting Free-Form Surfaces.- A Geometrically Motivated Affine Invariant Norm.- Exploiting Wavelet Coefficients for Modifying Functions.- Parametric Representation of Complex Mechanical Parts Using PDE Surface Generation.- Data-Dependent Triangulation in the Plane with Adaptive Knot Placement.- Implicit Surfaces Revisited-I-Patches.- Radial Basis Functions, Discrete Differences, and Bell-Shaped Bases.