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The Mathematics of Surfaces IX

Proceedings of the Ninth IMA Conference on the Mathematics of Surfaces

  • Conference proceedings
  • © 2000

Overview

Editors:
  1. Roberto Cipolla

    1. Department of Engineering, University of Cambridge, Cambridge, UK

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  2. Ralph Martin

    1. Department of Computer Science, Cardiff University, Cardiff, UK

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  • Includes the latest research into the applications of the mathematics of surfaces

  • International contributor base, from both academia and industry

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Table of contents (29 papers)

  1. Front Matter

    Pages I-XI
    Download chapter PDF

  2. Meshless Parameterization and B-Spline Surface Approximation

    • Michael S. Floater
    Pages 1-18

  3. Computation of Local Differential Parameters on Irregular Meshes

    • Péter Csákány, Andrew M. Wallace
    Pages 19-33

  4. Remarks on Meshless Local Construction of Surfaces

    • Robert Schaback
    Pages 34-58

  5. Gaussian and Mean Curvature of Subdivision Surfaces

    • Jörg Peters, Georg Umlauf
    Pages 59-69

  6. Best Fit Translational and Rotational Surfaces for Reverse Engineering Shapes

    • Pál BenkÅ‘, Tamás Várady
    Pages 70-81

  7. Problem Reduction to Parameter Space

    • Myung-Soo Kim, Gershon Elber
    Pages 82-98

  8. Higher Order Singularities in Piecewise Linear Vector Fields

    • Xavier Tricoche, Gerik Scheuermann, Hans Hagen
    Pages 99-113

  9. Landmarks of a Surface

    • Ian R. Porteous, Mike J. Puddephat
    Pages 114-125

  10. Time-Optimal Paths Covering a Surface

    • Taejung Kim, Sanjay E. Sarma
    Pages 126-143

  11. Surface Evolution and Representation using Geometric Algebra

    • Anthony Lasenby, Joan Lasenby
    Pages 144-168

  12. Interactive Design of Complex Mechanical Parts using a Parametric Representation

    • Hassan Ugail, Michael Robinson, Malcolm I. G. Bloor, Michael J. Wilson
    Pages 169-179

  13. Surfaces in the Mind’s Eye

    • Jan Koenderink, Andrea van Doorn, Astrid Kappers
    Pages 180-193

  14. Shape-from-Texture from Eigenvectors of Spectral Distortion

    • Eraldo Ribeiro, Edwin R Hancock
    Pages 194-213

  15. Camera Calibration from Symmetry

    • Kwan-Yee K. Wong, Paulo R. S. Mendonça, Roberto Cipolla
    Pages 214-226

  16. Dynamic Shapes of Arbitrary Dimension: The Vector Distance Functions

    • Olivier Faugeras, Jose Gomes
    Pages 227-262

  17. Least—Squares Fitting of Algebraic Spline Curves via Normal Vector Estimation

    • Bert Jüttler
    Pages 263-280

  18. Use of Reverse Automatic Differentiation in Ship Hull Optimisation

    • R. Boudjemaa, M. I. G. Bloor, M. J. Wilson
    Pages 281-305

  19. Symmetry Sets and Medial Axes in Two and Three Dimensions

    • Peter Giblin
    Pages 306-321

  20. Symmetry—A Research Direction in Curve and Surface Modelling; Some Results and Applications

    • H. E. Bez
    Pages 322-337
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Keywords

About this book

These proceedings collect the papers accepted for presentation at the bien­ nial IMA Conference on the Mathematics of Surfaces, held in the University of Cambridge, 4-7 September 2000. While there are many international con­ ferences in this fruitful borderland of mathematics, computer graphics and engineering, this is the oldest, the most frequent and the only one to concen­ trate on surfaces. Contributors to this volume come from twelve different countries in Eu­ rope, North America and Asia. Their contributions reflect the wide diversity of present-day applications which include modelling parts of the human body for medical purposes as well as the production of cars, aircraft and engineer­ ing components. Some applications involve design or construction of surfaces by interpolating or approximating data given at points or on curves. Others consider the problem of 'reverse engineering'-giving a mathematical descrip­ tion of an already constructed object. We are particularly grateful to Pamela Bye (at the Institue of Mathemat­ ics and its Applications) for help in making arrangements; Stephanie Harding and Karen Barker (at Springer Verlag, London) for publishing this volume and to Kwan-Yee Kenneth Wong (Cambridge) for his heroic help with com­ piling the proceedings and for dealing with numerous technicalities arising from large and numerous computer files. Following this Preface is a listing of the programme committee who with the help of their colleagues did much work in refereeing the papers for these proceedings.

Editors and Affiliations

  • Department of Engineering, University of Cambridge, Cambridge, UK

    Roberto Cipolla

  • Department of Computer Science, Cardiff University, Cardiff, UK

    Ralph Martin

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