Mathematics of Surfaces

Skeleton-Based Seam Computation for Triangulated Surface Parameterization.- Parameterizing N-Holed Tori.- Generic Parameterization of Bifurcating Structures.- Direct Computation of a Control Vertex Position on any Subdivision Level.- Optimising Triangulated Polyhedral Surfaces with Self–intersections.- Combinatorial Properties of Subdivision Meshes.- Watermarking 3D Polygonal Meshes Using the Singular Spectrum Analysis.- Compression of Arbitrary Mesh Data Using Subdivision Surfaces.- Triangle Mesh Duality: Reconstruction and Smoothing.- Hand Tracking Using a Quadric Surface Model and Bayesian Filtering.- Vector Transport for Shape-from-Shading.- A Graph-Spectral Method for Surface Height Recovery.- A Robust Reconstruction Algorithm of Displaced Butterfly Subdivision Surfaces from Unorganized Points.- Filling Holes in Point Clouds.- Trimming Local and Global Self-intersections in Offset Curves Using Distance Maps.- Using Line Congruences for Parameterizing Special Algebraic Surfaces.- Boundary Conditions for the 3-Direction Box-Spline.- The Plateau-Bézier Problem.- A Functional Equation Approach to the Computation of the Parameter Symmetries of Spline Paths.- Efficient One-Sided Linearization of Spline Geometry.- Procedural Modelling, Generative Geometry, and the International Standard ISO 10303 (STEP).- Variable-Free Representation of Manifolds via Transfinite Blending with a Functional Language.- Modified Affine Arithmetic Is More Accurate than Centered Interval Arithmetic or Affine Arithmetic.- On the Spine of a PDE Surface.- Application of PDE Methods to Visualization of Heart Data.

Includes supplementary material: sn.pub/extras