Geometric Modelling

In this volume experts from university and industry are presenting new technologies for solving industrial problems as well as important and practicable impulses for new research. The following topics are treated: - solid modelling - geometry processing - feature modelling - product modelling - surfaces over arbitrary topologies - blending methods - scattered data algorithms - smooting and fairing algorithms - NURBS 21 articles are giving a state-of-the-art survey of the relevant problems and issues in the rapidly growing area of geometric modelling.

Contenu

Constant-Radius Blending of Parametric Surfaces.- Functionality in Solids Obtained from Partial Differential Equations.- Featuremodelling with an Object-Oriented Approach.- Best Approximations of Parametric Curves by Splines.- A Modelling Scheme for the Approximate Representation of Closed Surfaces.- Cross Boundary Derivatives for Transfinite Triangular Patches.- Reconstruction of C1 Closed Surfaces with Branching.- High Order Continuous Polygonal Patches.- Variational Design of Smooth Rational Bezier Surfaces.- Curvature Approximation for Triangulated Surfaces.- Composition of Tensor Product Bezier Representations.- Interpolation with Exponential B-Splines in Tension.- A Characterization of an Affine Invariant Triangulation.- A Data Structure for Representing and Efficient Querying Large Scenes of Geometric Objects: MB* Trees.- Properties of Local Coordinates Based on Dirichlet Tesselations.- Automated Feature Recognition and its Role in Product Modelling.- Approximate Cr-Blending with Tensor Product Polynomials.- Shape Information in Industry Specific Product Data Model.- Free Form Deformation with Scattered Data Interpolation Methods.- C1-Smoothing of Multipatch Bezier Surfaces.- Geometric Continuity between Adjacent Rational Bezier Surface Patches.