Compression -- Recent Advances in Compression of 3D Meshes -- Shape Compression using Spherical Geometry Images -- Data Structures -- A Survey on Data Structures for Level-of-Detail Models -- An Algorithm for Decomposing Multi-dimensional Non-manifold Objects into Nearly Manifold Components -- Encoding Level-of-Detail Tetrahedral Meshes -- Multi-Scale Geographic Maps -- Modelling -- Constrained Multiresolution Geometric Modelling -- Multi-scale and Adaptive CS-RBFs for Shape Reconstruction from Clouds of Points -- Parameterization -- Surface Parameterization: a Tutorial and Survey -- Variations on Angle Based Flattening -- Subdivision -- Recent Progress in Subdivision: a Survey -- Optimising 3D Triangulations: Improving the Initial Triangulation for the Butterfly Subdivision Scheme -- Simple Computation of the Eigencomponents of a Subdivision Matrix in the Fourier Domain -- Subdivision as a Sequence of Sampled Cp Surfaces -- Reverse Subdivision -- $$\sqrt 5 $$ -subdivision -- Geometrically Controlled 4-Point Interpolatory Schemes -- Thinning -- Adaptive Thinning for Terrain Modelling and Image Compression -- Simplification of Topologically Complex Assemblies -- Topology Preserving Thinning of Vector Fields on Triangular Meshes -- Wavelets -- Periodic and Spline Multiresolution Analysis and the Lifting Scheme -- Nonstationary Sibling Wavelet Frames on Bounded Intervals: the Duality Relation -- Haar Wavelets on Spherical Triangulations.