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Mathematics of Surfaces : 10th IMA International Conference, Leeds, UK, September 15-17, 2003, Proceedings - Michael J. Wilson

Mathematics of Surfaces

10th IMA International Conference, Leeds, UK, September 15-17, 2003, Proceedings

By: Michael J. Wilson (Editor), Ralph R. Martin (Editor)

Paperback Published: 9th September 2003
ISBN: 9783540200536
Number Of Pages: 400

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This volume collects the papers accepted for presentation at the 10th IMA C- ference on the Mathematics of Surfaces, held at the University of Leeds, UK, September 15-17, 2003. As with all earlier conferences in the series, contributors to this volume come from a wide variety of countries in Asia, Europe and North America. The papers presented here re?ect the continued relevance of the s- ject, and, by comparison with the contents of earlier volumes in the series, the changing nature of application areas and mathematical techniques. To give the casual browser of these proceedings an idea of the diversity of the subject area, the papers in the present volume cover such topics and techniques as digital geometry processing, computer graphics, surface topology, medical applications, subdivision surfaces, surface reconstruction, surface triangulation, waterma- ing, data compression, data smoothing, human-computer interaction, extracting shapeformshading,surfaceheightrecovery,reverseengineering,box-splines,the Plateau Problem, splines (a variety of papers), trans?nite blending, and a?ne arithmetic. There is also a paper in memory of the late Prof. Josef Hoschek of theTechnischeUniversit¨ atDarmstadt,co-authoredbyaformerresearchstudent, Prof. Bert Juttler, ¨ on the subject of using line congruences for parameterizing special algebraic surfaces. We would like to thank all those who attended the conference and helped to makeitasuccess. Inparticularwethankthosewhocontributedtotheseproce- ings.

Skeleton-Based Seam Computation for Triangulated Surface Parameterizationp. 1
Parameterizing N-Holed Torip. 14
Generic Parameterization of Bifurcating Structuresp. 30
Direct Computation of a Control Vertex Position on any Subdivision Levelp. 40
Optimising Triangulated Polyhedral Surfaces with Self-intersectionsp. 48
Combinatorial Properties of Subdivision Meshesp. 73
Watermarking 3D Polygonal Meshes Using the Singular Spectrum Analysisp. 85
Compression of Arbitrary Mesh Data Using Subdivision Surfacesp. 99
Triangle Mesh Duality: Reconstruction and Smoothingp. 111
Hand Tracking Using a Quadric Surface Model and Bayesian Filteringp. 129
Vector Transport for Shape-from-Shadingp. 142
A Graph-Spectral Method for Surface Height Recoveryp. 163
A Robust Reconstruction Algorithm of Displaced Butterfly Subdivision Surfaces from Unorganized Pointsp. 182
Filling Holes in Point Cloudsp. 196
Trimming Local and Global Self-intersections in Offset Curves Using Distance Mapsp. 213
Using Line Congruences for Parameterizing Special Algebraic Surfacesp. 223
Boundary Conditions for the 3-Direction Box-Splinep. 244
The Plateau-Bezier Problemp. 262
A Functional Equation Approach to the Computation of the Parameter Symmetries of Spline Pathsp. 274
Efficient One-Sided Linearization of Spline Geometryp. 297
Procedural Modelling, Generative Geometry, and the International Standard ISO 10303 (STEP)p. 320
Variable-Free Representation of Manifolds via Transfinite Blending with a Functional Languagep. 338
Modified Affine Arithmetic Is More Accurate than Centered Interval Arithmetic or Affine Arithmeticp. 355
On the Spine of a PDE Surfacep. 366
Application of PDE Methods to Visualization of Heart Datap. 377
Author Indexp. 393
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9783540200536
ISBN-10: 3540200533
Series: Lecture Notes in Computer Science
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 400
Published: 9th September 2003
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 23.3 x 15.5  x 2.54
Weight (kg): 0.68

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