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9781852333584

The Mathematics of Surfaces IX: Proceedings of the Ninth Ima Conference on the Mathematics of Surfaces

by ; ;
  • ISBN13:

    9781852333584

  • ISBN10:

    1852333588

  • Format: Hardcover
  • Copyright: 2000-09-01
  • Publisher: Springer Verlag
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Summary

This book contains the Proceedings of the Ninth Mathematics of Surfaces Conference organised by the Institute of Mathematics and its Applications, and held in Cambridge, UK, on 4th - 6th September 2000. The papers describe the mathematical construction, representation, approximation, recognition, and manipulation of surfaces, with an emphasis on computational methods. Highlights include invited papers from M. Floater (SNTEF, Norway), O. Faugeras (INRIA, France), P. Giblin (Liverpool University, UK), M.-S. Kim (Seoul National University, Korea), J. Koenderink (University of Utrecht, Netherlands), N. Patrikalakis (MIT, USA), H. Pottmann (Technical University of Vienna, Austria) and R. Schaback (University of Gvttingen, Germany).

Table of Contents

Meshless Parameterization and B-Spline Surface Approximation
1(18)
Michael S. Floater
Computation of Local Differential Parameters on Irregular Meshes
19(15)
Peter Csakany
Andrew M. Wallace
Remarks on Meshless Local Construction of Surfaces
34(25)
Robert Schaback
Gaussian and Mean Curvature of Subdivision Surfaces
59(11)
Jorg Peters
Georg Umlauf
Best Fit Translational and Rotational Surfaces for Reverse Engineering Shapes
70(12)
Pal Benko
Tamas Varady
Problem Reduction to Parameter Space
82(17)
Myung-Soo Kim
Gershon Elber
Higher Order Singularities in Piecewise Linear Vector Fields
99(15)
Xavier Tricoche
Gerik Scheuermann
Hans Hagen
Landmarks of a Surface
114(12)
Ian R. Porteous
Mike J. Puddephat
Time-Optimal Paths Covering a Surface
126(18)
Taejung Kim
Sanjay E. Sarma
Surface Evolution and Representation using Geometric Algebra
144(25)
Anthony Lasenby
Joan Lasenby
Interactive Design of Complex Mechanical Parts using a Parametric Representation
169(11)
Hassan Ugail
Michael Robinson
Malcolm I. G. Bloor
Michael J. Wilson
Surfaces in the Mind's Eye
180(14)
Jan Koenderink
Andrea van Doorn
Astrid Kappers
Shape-from-Texture from Eigenvectors of Spectral Distortion
194(20)
Eraldo Ribeiro
Edwin R Hancock
Camera Calibration from Symmetry
214(13)
Kwan-Yee K. Wong
Paulo R. S. Mendonca
Roberto Cipolla
Dynamic Shapes of Arbitrary Dimension: The Vector Distance Functions
227(36)
Olivier Faugeras
Jose Gomes
Least-Squares Fitting of Algebraic Spline Curves via Normal Vector Estimation
263(18)
Bert Juttler
Use of Reverse Automatic Differentiation in Ship Hull Optimisation
281(25)
R. Boudjemaa
M.I.G. Bloor
M.J. Wilson
Symmetry Sets and Medial Axes in Two and Three Dimensions
306(16)
Peter Giblin
Symmetry - A Research Direction in Curve and Surface Modelling; Some Results and Applications
322(16)
H. E. Bez
Functions and Methods to Analyze and Construct Developable Hull Surfaces
338(10)
Salvatore Miranda
Claudio Pensa
Fabrizio Sessa
Bipolar and Multipolar Coordinates
348(24)
Rida T. Farouki
Hwan Pyo Moon
Polar Curves and Surfaces
372(17)
Kenji Ueda
Boundary Representation Models: Validity and Rectification
389(21)
Nicholas M. Patrikalakis
Takis Sakkalis
Guoling Shen
Interval and Affine Arithmetic for Surface Location of Power- and Bernstein-Form Polynomials
410(14)
Irina Voiculescu
Jakob Berchtold
Adrian Bowyer
Ralph R. Martin
Qijiang Zhang
A Class of Bernstein Polynomials that Satisfy Descartes' Rule of Signs Exactly
424(14)
Joab R. Winkler
David L. Ragozin
On Approximation in Spaces of Geometric Objects
438(21)
Helmut Pottmann
Martin Peternell
Representing the Time-Dependent Geometry of the Heart for Fluid Dynamical Analysis
459(11)
C.J. Evans
M.I.G. Bloor
M.J. Wilson
Application of Point-Based Smoothing to the Design of Flying Surfaces
470(16)
R.M. Tookey
W. Sargeant
Modelling of Material Property Variation for Layered Manufacturing
486
Michael J. Pratt

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