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Geometric Modeling: Theory and Practice

The State of the Art

  • Book
  • © 1997

Overview

Editors:
  1. Wolfgang Strasser

    1. Wilhelm-Schickard-Institut für auf Informatik, Tübingen, Germany

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  2. Reinhard Klein

    1. Wilhelm-Schickard-Institut für auf Informatik, Tübingen, Germany

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  3. René Rau

    1. Wilhelm-Schickard-Institut für auf Informatik, Tübingen, Germany

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Part of the book series: Focus on Computer Graphics (FOCUS COMPUTER)

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Table of contents (27 chapters)

  1. Front Matter

    Pages I-IX
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  2. Mathematical Tools

    1. Front Matter

      Pages 1-1
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    2. Variational Design with Boundary Conditions and Parameter Optimized Surface Fitting

      • Hans Hagen, Siegfried Heinz, Alexa Nawotki
      Pages 3-13

    3. Special Applications in Surface Fitting

      • Thomas Hermann, Zoltán Kovács, Tamás Várady
      Pages 14-31

    4. A Synthesis Process for Fair Free-Form Surfaces

      • Horst Nowacki, Feng Jin, Xiuzi Ye
      Pages 32-51

    5. Computing Minimal Surfaces with Particle Systems

      • Bernd Eberhardt
      Pages 52-58

    6. Orthogonality Relations for Cardinal B-Splines over Bounded Intervals

      • Ulrich Reif
      Pages 59-69

    7. Optimizing CNC Programs Using Spline Techniques

      • Volker Weiß, Hans-Peter Seidel, Günther Greiner, Thomas Puchtler, Werner Eberlein
      Pages 70-82

    8. New Approximation Methods for Planar Offset and Convolution Curves

      • In-Kwon Lee, Myung-Soo Kim, Gershon Elber
      Pages 83-101

    9. Detection and Computation of Degenerate Normal Vectors on Tensor Product Polynomial Surfaces

      • Yasushi Yamaguchi
      Pages 102-113

    10. Surfaces Intersection for Solid Algebra: A Classification Algorithm

      • S. Foufou, J. M. Brun, A. Bouras
      Pages 114-131

    11. A Degree-of-Freedom Graph Approach

      • Ching-Yao Hsu, Beat Brüderlin
      Pages 132-155

  3. Representations

    1. Front Matter

      Pages 157-157
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    2. Multiple-View Feature Modelling and Conversion

      • Willem F. Bronsvoort, Rafael Bidarra, Maurice Dohmen, Winfried van Holland, Klaas Jan de Kraker
      Pages 159-174

    3. A Knowledge Representation Perspective on Geometric Modeling

      • Rüdiger Klein
      Pages 175-196

    4. Projection Operation for Multidimensional Geometric Modeling with Real Functions

      • A. Pasko, V. Savchenko
      Pages 197-205

    5. Breps as Displayable-Selectable Models in Interactive Design of Families of Geometric Objects

      • Ari Rappoport
      Pages 206-225

    6. Synthesis of a Unified Approach to Shape Modeling

      • Abel Gomes, Alan Middleditch
      Pages 226-236

    7. Virtual Topology Construction and Applications

      • Alla Sheffer, Ted Blacker, Jan Clements, Michel Bercovier
      Pages 247-259

    8. Generalization of Modified Octrees for Geometric Modeling

      • N. Hitschfeld
      Pages 260-272
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Keywords

About this book

The Blaubeuren Conference "Theory and Practice of Geometric Modeling" has become a meeting place for leading experts from industrial and academic research institutions, CAD system developers and experienced users to exchange new ideas and to discuss new concepts and future directions in geometric modeling. The relaxed and calm atmosphere of the Heinrich-Fabri-Institute in Blaubeuren provides the appropriate environment for profound and engaged discussions that are not equally possible on other occasions. Real problems from current industrial projects as well as theoretical issues are addressed on a high scientific level. This book is the result of the lectures and discussions during the conference which took place from October 14th to 18th, 1996. The contents is structured in 4 parts: Mathematical Tools Representations Systems Automated Assembly. The editors express their sincere appreciation to the contributing authors, and to the members of the program committee for their cooperation, the careful reviewing and their active participation that made the conference and this book a success.

Editors and Affiliations

  • Wilhelm-Schickard-Institut für auf Informatik, Tübingen, Germany

    Wolfgang Strasser, Reinhard Klein, René Rau

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