Geometric Modeling

Methods and Applications

  • Hans Hagen
  • Dieter Roller

Part of the Computer Graphics — Systems and Applications book series (COMPUTER GRAPH.)

Table of contents

  1. Front Matter
    Pages i-vii
  2. Robert E. Barnhill, Thomas A. Foley
    Pages 1-15
  3. Pere Brunet, Alvar Vinacua
    Pages 17-34
  4. M. Dæhlen, T. Lyche
    Pages 35-93
  5. J. L. Encarnaçao, M. Frühauf, M. Göbel, K. Karlsson
    Pages 95-114
  6. Gerald Farin
    Pages 115-130
  7. Richard Franke, Gregory M. Nielson
    Pages 131-160
  8. H. Hagen, G. Schulze
    Pages 161-184
  9. Josef Hoschek, Erich Hartmann
    Pages 185-211
  10. Reinhold Klass, Peter Schramm
    Pages 213-225
  11. Michael J. Pratt
    Pages 227-250
  12. Dieter Roller
    Pages 251-266
  13. Tony deRose, Michael Lounsbery, Ronald Goldman
    Pages 267-286
  14. Back Matter
    Pages 287-288

About these proceedings


This book is based on lectures presented at an international workshop on geometric modeling held at Hewlett Packard GmbH in Boblingen, FRG, in June 1990. International experts from academia and industry were selected to speak on the most interesting topics in geometric modeling. The resulting papers, published in this volume, give a state-of-the-art survey of the relevant problems and issues. The following topics are discussed: - Methods for constructing surfaces on surfaces: four different solutions to the multidimen­ sional problem of constructing an interpolant from surface data are provided. - Surfaces in solid modeling: current results on the implementation of free-fonn solids in three well established solid models are reviewed. - Box splines and applications: an introduction to box spline methods for the representation of surfaces is given. Basic properties of box splines are derived, and refinement and evaluation methods for box splines are presented in detail. Shape preserving properties, the construction of non-rectangular box spline surfaces, applications to surface modeling, and imbedding problems, are discussed. - Advanced computer graphics techniques for volume visualization: the steps to be executed in the visualization process of volume data are described and tools are discussed that assist in handling this data. - Rational B-splines: an introduction to the representation of curves and surfaces using rational B-splines is given, together with a critical evaluation of their potential for industrial application.


Algorithmus CAD CAM Computational Geometry Festkörper-Modellierung Geometrisches Modellieren Oberfläche Rechnergestützte Entwicklung Sur computer-aided design (CAD) computer-aided manufacturing (CAM) geometric modeling modeling solid modeling

Editors and affiliations

  • Hans Hagen
    • 1
  • Dieter Roller
    • 2
  1. 1.Fachbereich InformatikUniversität KaiserslauternKaiserslauternGermany
  2. 2.Hewlett Packard GmbHBöblingenGermany

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 1991
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-76406-6
  • Online ISBN 978-3-642-76404-2
  • Series Print ISSN 1431-1380
  • Buy this book on publisher's site