Overview

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

Full Product Details

Author:   R. Albrecht ,  H. Hagen ,  G. Farin ,  Hartmut Noltemeier
Publisher:   Springer Verlag GmbH
Imprint:   Springer Verlag GmbH
Edition:   Softcover reprint of the original 1st ed. 1995
Volume:   10
Dimensions:   Width: 17.00cm , Height: 2.00cm , Length: 24.40cm
Weight:   0.685kg
ISBN:  

9783211826669

ISBN 10:   3211826661
Pages:   361
Publication Date:   06 July 1995
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

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 Bezier 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.- Bezier 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 Polya Basis.

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