Geometric Modelling Dagstuhl 1996

19 papers presented by international experts give a state-of-the-art survey of the relevant problems and issues in modeling, CAD/CAM, scientific visualization, and computational geometry. The following topics are treated: • surface design and fairing • subdivision schemes • variational design • NURBS • reverse engineering • physically-based modelling • medical imaging

Applications of a Fruitful Relation between a Dupin Cyclide and a Right Circular Cone.- Interrogative Visualization.- Representation Conversions for Nef Polyhedra.- The Shape Parametrisation of an Aircraft Engine Nacelle and Pylon.- Multiresolution Analysis with Non-Nested Spaces.- Optimal Degree Reduction of Free Form Curves.- Intersection Methods of Convergence.- Approximation of Curves by a Measure of Shape.- Geometric Design of Rational Bézier Line Congruences and Ruled Surfaces Using Line Geometry.- Variational Design and Parameter Optimized Surface Fitting.- Shape Improvement of Surfaces.- A Philosophy for Smooth Contour Reconstruction.- The Design of Physically Accurate Fluid Flow.- A Quadratic-Programming Method for Removing Shape-Failures from Tensor-Product B-Spline Surfaces.- Fill-in Regions.- Smoothing Polyhedra Using Trimmed Bicubic Patches.- A G2-Subdivision Algorithm.- Octtrees Meet Splines.- Degree Reduction of B-Spline Curves.