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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.
List 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 Bézier 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 GeometricTolerance Zones in 3D.
About the author
Ralph Martin, Jahrgang 1952, ist langjähriger Hörfunk- und Fernsehjournalist und lebt in Stuttgart. Zuvor studierte er Rechts- und Staatswissenschaften. Seit seiner Jugend ist er begeisterter Bergsteiger und Wanderer.
