Advances in Multiresolution for Geometric Modelling

Neil Dodgson took his BSc in Computer Science and Physics at Massey University in New Zealand (1988) and his PhD in image processing at the University of Cambridge (1992). He is a Senior Lecturer in the Computer Laboratory at the University of Cambridge and is co-leader of the Rainbow Research Group. He has over fifty refereed publications in the areas of modelling for 3D computer graphics, human-figure animation, 3D displays, and image processing. Malcolm Sabin worked on representation of aircraft shapes at British Aircraft Corporation in the late 1960s, there developing one of the earliest modern surface systems. He has been active in CAD, CAM and CAE ever since, especially in the field of surface representations and in subdivision in particular. He is employed by his own company, Numerical Geometry Ltd. which sells his time as a consultant, and maintains close contact with the Computer Laboratory and the Department of Applied Mathematics at the University of Cambridge.

• 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.