Mathematics of Surfaces: 10th IMA International Conference, Leeds, UK, September 15-17, 2003, Proceedings (Lecture Notes in Computer Science)

This book constitutes the refereed proceedings of the 10th IMA International Conference on the Mathematics of Surfaces, held in Leeds, UK in September 2003. The 25 revised full papers presented were carefully reviewed and selected from numerous submissions. Among the topics addressed are triangulated surface parameterization, bifurcation structures, control vertex computation, polyhedral surfaces, watermarking 3D polygonal meshed, subdivision surfaces, surface reconstruction, vector transport, shape from shading, surface height recovery, algebraic surfaces, box splines, the Plateau-Bezier problem, spline geometry, generative geometry, manifold representation, affine arithmetic, and PDE surfaces. Front Matter....Pages - Skeleton-Based Seam Computation for Triangulated Surface Parameterization....Pages 1-13 Parameterizing N -Holed Tori....Pages 14-29 Generic Parameterization of Bifurcating Structures....Pages 30-39 Direct Computation of a Control Vertex Position on any Subdivision Level....Pages 40-47 Optimising Triangulated Polyhedral Surfaces with Self–intersections....Pages 48-72 Combinatorial Properties of Subdivision Meshes....Pages 73-84 Watermarking 3D Polygonal Meshes Using the Singular Spectrum Analysis....Pages 85-98 Compression of Arbitrary Mesh Data Using Subdivision Surfaces....Pages 99-110 Triangle Mesh Duality: Reconstruction and Smoothing....Pages 111-128 Hand Tracking Using a Quadric Surface Model and Bayesian Filtering....Pages 129-141 Vector Transport for Shape-from-Shading....Pages 142-162 A Graph-Spectral Method for Surface Height Recovery....Pages 163-181 A Robust Reconstruction Algorithm of Displaced Butterfly Subdivision Surfaces from Unorganized Points....Pages 182-195 Filling Holes in Point Clouds....Pages 196-212 Trimming Local and Global Self-intersections in Offset Curves Using Distance Maps....Pages 213-222 Using Line Congruences for Parameterizing Special Algebraic Surfaces....Pages 223-243 Boundary Conditions for the 3-Direction Box-Spline....Pages 244-261 The Plateau-Bézier Problem....Pages 262-273 A Functional Equation Approach to the Computation of the Parameter Symmetries of Spline Paths....Pages 274-296 Efficient One-Sided Linearization of Spline Geometry....Pages 297-319 Procedural Modelling, Generative Geometry, and the International Standard ISO 10303 (STEP)....Pages 320-337 Variable-Free Representation of Manifolds via Transfinite Blending with a Functional Language....Pages 338-354 Modified Affine Arithmetic Is More Accurate than Centered Interval Arithmetic or Affine Arithmetic....Pages 355-365 On the Spine of a PDE Surface....Pages 366-376 Application of PDE Methods to Visualization of Heart Data....Pages 377-391 Back Matter....Pages -

This book constitutes the refereed proceedings of the 10th IMA International Conference on the Mathematics of Surfaces, held in Leeds, UK in September 2003.

The 25 revised full papers presented were carefully reviewed and selected from numerous submissions. Among the topics addressed are triangulated surface parameterization, bifurcation structures, control vertex computation, polyhedral surfaces, watermarking 3D polygonal meshed, subdivision surfaces, surface reconstruction, vector transport, shape from shading, surface height recovery, algebraic surfaces, box splines, the Plateau-Bezier problem, spline geometry, generative geometry, manifold representation, affine arithmetic, and PDE surfaces.

Due to their flexibility and efficiency, triangle meshes have been widely used in the entertainment industry to represent arbitrary surfaces for 3D games and movies during the last few years.