The Mathematics of Surfaces IX

1. Front Matter

   Pages I-XI

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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 Benkő, 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

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.

• Computational Mathematics
• Mathematics for Engineers
• Mean curvature
• Textur
• calculus
• curvature
• geographic information systems
• geometry
• medical imaging
• modeling
• optimization
• visualization

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

  Roberto Cipolla

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

  Ralph Martin

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