Mathematics of Surfaces XI

Free-Form Surface Construction in a Commercial CAD/CAM System.- Polyhedral Gauss Maps and Curvature Characterisation of Triangle Meshes.- Manifold Embedding of Graphs Using the Heat Kernel.- Detection of Surface Creases in Range Data.- Efficient Linear System Solvers for Mesh Processing.- Smoothing of Time-Optimal Feedrates for Cartesian CNC Machines.- Plausible 3D Colour Surface Completion Using Non-parametric Techniques.- Determining the Topology of Real Algebraic Surfaces.- Level Sets of Functions and Symmetry Sets of Surface Sections.- An Heuristic Analysis of the Classification of Bivariate Subdivision Schemes.- Global Curve Analysis via a Dimensionality Lifting Scheme.- Conversion of Dupin Cyclide Patches into Rational Biquadratic Bézier Form.- Multi-sided Attribute Based Modeling.- On Normals and Control Nets.- Line Subdivision.- Euclidean Voronoi Diagrams of 3D Spheres: Their Construction and Related Problems from Biochemistry.- The Importance of Polynomial Reproduction in Piecewise-Uniform Subdivision.- A Hybrid Approach to Extracting Tooth Models from CT Volumes.- Bézier Surfaces of Minimal Internal Energy.- Positivity-Preserving Scattered Data Interpolation.- Artifacts in Box-Spline Surfaces.- Spatial Pythagorean Hodograph Quintics and the Approximation of Pipe Surfaces.- Modelling Surface Normal Distribution Using the Azimuthal Equidistant Projection.- New Trends in Digital Shape Reconstruction.- Backward Errors and Condition Numbers of Regular and Singular Points on Algebraic Curves.- Approximate Rational Parameterization of Implicitly Defined Surfaces.- Convergence Analysis of Discrete Differential Geometry Operators over Surfaces.- A Marching Method for Computing Intersection Curves of Two Subdivision Solids.

Autorentext
The author has spent his professional life on the numerical representation of shape.