Geometric Modelling

Experts from university and industry are presenting new technologies for solving industrial problems and giving many important and practicable impulses for new research. Topics explored include NURBS, product engineering, object oriented modelling, solid modelling, surface interrogation, feature modelling, variational design, scattered data algorithms, geometry processing, blending methods, smoothing and fairing algorithms, spline conversion. This collection of 24 articles gives a state-of-the-art survey of the relevant problems and issues in geometric modelling.

Contenu

Parametric Offset Surface Approximation.- Unimodal Properties of Generalized Ball Bases.- Nef Polyhedra: A Brief Introduction.- Complex PDE Surface Generation for Analysis and Manufacture.- Weight Estimation of Rational Bézier Curves and Surfaces.- The Use of Multiple Knots for B-spline Finite Element Approximations to PDE Surfaces.- Geometric Design with Trimmed Surfaces.- The Shape of the Overhauser Spline.- Local Energy Fairing of B-spline Curves.- Integrating Analysis Tools into the Design Process through Constrained Parametric Structures.- Localized Radial Basis Methods Using Rational Triangle Patches.- Repeated Knots in Least Squares Multiquadric Functions.- Stability Concept for Surfaces.- A Quartic Spline Based on a Variational Approach.- A Knowledge-Based System for Geometric Design.- Bézier Representation of Trim Curves.- Control Point Representations of Trigonometrically Specified Curves and Surfaces.- Towards Optimality in Automated Feature Recognition.- Solid Modeling with Constrained Form Features.- A Hybrid Method for Shape-Preserving Interpolation with Curvature-Continuous Quintic Splines.- Scale-Invariant Functionals for Smooth Curves and Surfaces.- The C-Tree: A Dynamically Balanced Spatial Index.- Piecewise Linear Approximation of Trimmed Surfaces.- An Efficient Algorithm for Evaluating Polynomials in the Pòlya Basis.