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Geometric Modelling

Dagstuhl 2002

  • Conference proceedings
  • © 2004

Overview

Editors:
  1. Stefanie Hahmann

    1. Laboratory LMC-IMAG, Grenoble University of Technology (INPG), France

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  2. Guido Brunnett

    1. Department of Computer Science, Chemnitz University of Technology, Germany

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  3. Gerald Farin

    1. Department of Computer Science and Engineering, Arizona State University, Tempe, USA

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  4. Ron Goldman

    1. Department of Computer Science, Rice University, Houston, USA

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Table of contents (19 papers)

  1. Front Matter

    Pages i-viii
    Download chapter PDF

  2. An Algorithm for Parametric Quadric Patch Construction

    • Gudrun Albrecht
    Pages 1-12

  3. Planar Development of Free-Form Surfaces: Quality Evaluation and Visual Inspection

    • Phillip N. Azariadis, Nickolas S. Sapidis
    Pages 13-27

  4. Biorthogonal Loop-Subdivision Wavelets

    • M. Bertram
    Pages 29-39

  5. Fairness Criteria for Algebraic Curves

    • Pavel Chalmovianský, Bert Jüttler
    Pages 41-51

  6. Spline Curve Approximation and Design by Optimal Control Over the Knots

    • Rony Goldenthal, Michel Bercovier
    Pages 53-64

  7. A Parametric Quartic Spline Interpolant to Position, Tangent and Curvature

    • Thomas A. Grandine, Thomas A. Hogan
    Pages 65-78

  8. Surface Compression Using a Space of C 1 Cubic Splines with a Hierarchical Basis

    • Don Hong, Larry L. Schumaker
    Pages 79-92

  9. Evolutions of Polygons in the Study of Subdivision Surfaces

    • I. P. Ivrissimtzis, H.-P. Seidel
    Pages 93-103

  10. The Bézier Tangential Surface System: a Robust Dual Representation of Tangent Space

    • John K. Johnstone
    Pages 105-115

  11. Bounding the Distance between 2D Parametric Bézier Curves and their Control Polygon

    • M. I. Karavelas, P. D. Kaklis, K. V. Kostas
    Pages 117-128

  12. Wavelet-Based Multiresolution with \( \sqrt[n]{2} \) Subdivision

    • Lars Linsen, Bernd Hamann, Kenneth I. Joy, Valerio Pascucci, Mark A. Duchaineau
    Pages 129-142

  13. Quasi-Interpolants with Tension Properties from and in CAGD

    • Carla Manni, Francesca Pelosi
    Pages 143-160

  14. Length Preserving Multiresolution Editing of Curves

    • Stefanie Hahmann, Basile Sauvage, Georges-Pierre Bonneau
    Pages 161-170

  15. The Convex Hull of Freeform Surfaces

    • J.-K. Seong, G. Elber, J. K. Johnstone, M.-S. Kim
    Pages 171-183

  16. Robust Spherical Parameterization of Triangular Meshes

    • A. Sheffer, C. Gotsman, N. Dyn
    Pages 185-193

  17. Spine Based Shape Parameterisation for PDE Surfaces

    • Hassan Ugail
    Pages 195-206

  18. Direct Segmentation of Algebraic Models for Reverse Engineering

    • Marek Vanco, Guido Brunnett
    Pages 207-220

  19. Two Triangulation Methods Based on Edge Refinement

    • Marc Vigo, Nuria Pla, Dolors Ayala
    Pages 221-233

  20. Efficient Collision Detection for Moving Ellipsoids Using Separating Planes

    • Wenping Wang, Yi-King Choi, Bin Chan, Myung-Soo Kim, Jiaye Wang
    Pages 235-246
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Keywords

About this book

In 19 articles presented by leading experts in the field of geometric modelling the state-of-the-art on representing, modeling, and analyzing curves, surfaces as well as other 3-dimensional geometry is given. The range of applications include CAD/CAM-systems, computer graphics, scientific visualization, virtual reality, simulation and medical imaging. The content of this book is based on selected lectures given at a workshop held at IBFI Schloss Dagstuhl, Germany. Topics treated are: – curve and surface modelling – non-manifold modelling in CAD – multiresolution analysis of complex geometric models – surface reconstruction – variational design – computational geometry of curves and surfaces – 3D meshing – geometric modelling for scientific visualization – geometric models for biomedical applications

Editors and Affiliations

  • Laboratory LMC-IMAG, Grenoble University of Technology (INPG), France

    Stefanie Hahmann

  • Department of Computer Science, Chemnitz University of Technology, Germany

    Guido Brunnett

  • Department of Computer Science and Engineering, Arizona State University, Tempe, USA

    Gerald Farin

  • Department of Computer Science, Rice University, Houston, USA

    Ron Goldman

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