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.