Theory and Practice of Geometric Modeling

1. Front Matter

   Pages I-X

   PDF

2. Freeform Modeling

   1. Front Matter

      Pages 1-1

      PDF

   2. A Useful Polynomial Representation of Multiply Continuous Functions in the Unit Domain

      • Hans Meier

      Pages 3-16

   3. Computing B-spline Control Points

      • Hans-Peter Seidel

      Pages 17-32

   4. Approximate Parametrization of Algebraic Curves

      • Thomas W. Sederberg, Junwu Zhao, Alan K. Zundel

      Pages 33-54

   5. Geometric Modeling of Smooth Surfaces using Triangular Patches

      • Hans Hagen

      Pages 55-64

   6. The Generation of Ship Hulls with Given Design Parameters Using Tensor Product Surfaces

      • Nelson Bianco Standerski

      Pages 65-79

   7. Filling Polygonal Holes with Rectangular Patches

      • Jörg Hahn

      Pages 81-91

   8. Mesh Fairing GC1 Surface Generation Method

      • Horst Nowacki, Liu Dingyuan, Lü Xinmin

      Pages 93-108

   9. Bernstein-Bézier Representation of Solid Models

      • Dieter Lasser

      Pages 109-125

   10. Constructive Solid Geometry with Sculptured Primitives Using Inner and Outer Sets

       • D. R. Dunnington, A. Saia, A. de Pennington, G. L. Smith

       Pages 127-142

   11. A Uniform Representation Scheme for Freeform Geometric Modelling

       • J. J. Steketee

       Pages 143-163

3. Surface Intersections, Blending, Ray Tracing

   1. Front Matter

      Pages 165-165

      PDF

   2. The generalized inverse matrix and the surface-surface intersection problem

      • Gábor Lukács

      Pages 167-185

   3. Using Plane Vector Fields to Obtain All the Intersection Curves of Two General Surfaces

      • Koun-Ping Cheng

      Pages 187-204

   4. Topological considerations in blending boundary representation solid models

      • Tamas Varady, Ralph R. Martin, Janos Vida

      Pages 205-220

   5. Blend Design as a Boundary-Value Problem

      • M. I. G. Bloor, M. J. Wilson

      Pages 221-234

   6. Cyclide Blending in Solid Modelling

      • M. J. Pratt

      Pages 235-245

   7. Some Remarks on Cyclides in Solid Modeling

      • Wolfgang Boehm

      Pages 247-252

   8. Ray Tracing of Boundary Models with Implicit Blend Surfaces

      • Lasse Holmström, Timo Laakko, Martti Mäntylä, Panu Rekola

      Pages 253-271

This book is a result of the lectures and discussions during the conference "Theory and Practice of Geometric Modeling". The event has been organized by the Wilhelm-Schickard-Institut fiir Informatik, Universitat Tiibingen and took place at the Heinrich-Fabri-Institut in Blaubeuren from October 3 to 7, 1988. The conference brought together leading experts from academic and industrial research institutions, CAD system developers and experien­ ced users to exchange their ideas and to discuss new concepts and future directions in geometric modeling. The main intention has been to bridge the gap between theoretical results, performance of existing CAD systems and the real problems of users. The contents is structured in five parts: A Algorithmic Aspects B Surface Intersection, Blending, Ray Tracing C Geometric Tools D Different Representation Schemes in Solid Modeling E Product Modeling in High Level Specifications The material presented in this book reflects the current state of the art in geometric modeling and should therefore be of interest not only to university and industry researchers, but also to system developers and practitioners who wish to keep up to date on recent advances and new concepts in this rapidly expanding field. The editors express their sincere appreciation to the contributing authors, and to the members of the program committee, W. Boehm, J. Hoschek, A. Massabo, H. Nowacki, M. Pratt, J. Rossignac, T. Sederberg and W. Tiller, for their close cooperation and their time and effort that made the conference and this book a success.

• CAD
• Computer-Aided Design (CAD)
• Computergraphik
• Geometrische Algorithmen
• Geometrischer CAD
• Geometrisches Modellieren
• Interface
• algorithms
• construction
• design
• geometric modelling
• model
• modeling
• programming
• topology

• Graphisch-Interaktive Systeme, Wilhelm-Schickard-Institut für Informatik, Tübingen 1, Federal Republic of Germany

  Wolfgang Straßer, Hans-Peter Seidel

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