Mathematics of Surfaces XII: 12th IMA International Conference, Sheffield, UK, September 4-6, 2007, Proceedings / Edition 1

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This book constitutes the refereed proceedings of the 12th IMA International Conference on the Mathematics of Surfaces, held in Sheffield, UK in September 2007. The papers cover a range of ideas from underlying theoretical tools to industrial uses of surfaces. Research is reported on theoretical aspects of surfaces as well as more practical topics.

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Table of Contents

Regularity Criteria for the Topology of Algebraic Curves and Surfaces.- Quadrangle Surface Tiling Through Contouring.- Surfaces with Piecewise Linear Support Functions over Spherical Triangulations.- A Developable Surface of Uniformly Negative Internal Angle Deficit.- Rational Maximal Parametrisations of Dupin Cyclides.- Discrete Harmonic Functions from Local Coordinates.- Computing the Topology of an Arrangement of Quartics.- Non-uniform B-Spline Subdivision Using Refine and Smooth.- Scattered Data Fitting on Surfaces Using Projected Powell-Sabin Splines.- Implicit Boundary Control of Vector Field Based Shape Deformations.- Tuning Subdivision Algorithms Using Constrained Energy Optimization.- Description of Surfaces in Parallel Coordinates by Linked Planar Regions.- Discrete Surface Ricci Flow: Theory and Applications.- Guided C 2 Spline Surfaces with V-Shaped Tessellation.- MOS Surfaces: Medial Surface Transforms with Rational Domain Boundaries.- Mean Value B├ęzier Surfaces.- Curvature Estimation over Smooth Polygonal Meshes Using the Half Tube Formula.- Segmenting Periodic Reliefs on Triangle Meshes.- Estimation of End Curvatures from Planar Point Data.- Inversion, Degree and Reparametrization for Rational Surfaces.- Discrete Surfaces in Isotropic Geometry.- An Appropriate Geometric Invariant for the C 2-Analysis of Subdivision Surfaces.- Curvature-Based Surface Regeneration.- Bounded Curvature Subdivision Without Eigenanalysis.- Facial Shape-from-Shading Using Principal Geodesic Analysis and Robust Statistics.- Statistical Methods for Surface Integration.- Skeleton Surface Generation from Volumetric Models of Thin Plate Structures for Industrial Applications.- Parallel Tangency in .- Condition Numbers and Least Squares Regression.- Propagation of Geometric Tolerance Zones in 3D.

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