Beschreibung:
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.