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.
Author(s): Xu-Ping Zhu, Shi-Min Hu, Ralph Martin (auth.), Michael J. Wilson, Ralph R. Martin (eds.)
Series: Lecture Notes in Computer Science 2768
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 2003
Language: English
Pages: 400
Tags: Computer Graphics; Discrete Mathematics in Computer Science; Symbolic and Algebraic Manipulation; Image Processing and Computer Vision; Computational Science and Engineering; Geometry
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-BĂ©zier 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 -
