Mathematics of Surfaces XI: 11th IMA International Conference, Loughborough, UK, September 5-7, 2005, Proceedings / Edition 1

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Overview

This book constitutes the refereed proceedings of the 11th IMA International Conference on the Mathematics of Surfaces, held in Loughborough, UK in September 2005.

The 28 revised full papers presented were carefully reviewed and selected from numerous submissions. Among the topics addressed are Voronoi diagrams, linear systems, curvatures on meshes, approximate parameterization, condition numbers, pythagorean hodographs, artifacts in B-spline surfaces, Bézier surfaces of minimal energy, line subdivision, subdivision surfaces, level sets and symmetry, the topology of algebraic surfaces, embedding graphs in manifolds, recovery of 3D shape from shading, finding optimal feedrates for machining, and improving of range data.

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Product Details

Table of Contents

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.

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