The Mathematics of Surfaces IX

This book contains the Proceedings of the Ninth Mathematics of Surfaces Conference organised by the Institute of Mathematics and its Applications, and held in Cambridge, UK, on 4th - 6th September 2000. The papers describe the mathematical construction, representation, approximation, recognition, and manipulation of surfaces, with an emphasis on computational methods. Highlights include invited papers from M. Floater (SNTEF, Norway), O. Faugeras (INRIA, France), P. Giblin (Liverpool University, UK), M.-S. Kim (Seoul National University, Korea), J. Koenderink (University of Utrecht, Netherlands), N. Patrikalakis (MIT, USA), H. Pottmann (Technical University of Vienna, Austria) and R. Schaback (University of Göttingen, Germany).

Inhalt

Meshless Paramterization and B-Spline Surface Approximation.- Computation of Local Differential Parameters on Irregular Meshes.- Remarks on Meshless Local Construction of Surfaces.- Gaussian and Mean Curvature of Subdivision Surfaces.- Best Fir Translational and Rotational Surfaces for Reverse Engineering Shapes.- Problem Reduction to Parameter Space.- Higher Order Singularities in Piecewise Linear Vector Fields.- Landmarks of a Surface.- Time-Optimal Paths Covering a Surface.- Surface Evolution and Representation Using Geometric Algebra.- Interactive Design of Complex Mechanical Parts Using a Parametric Representation.- Surfaces in the Mind's Eye.- Shape-from-Texture from Eigenvectors of Spectral Distortion.- Camera Calibration from Symmetry.- Dynamic Shapes of Arbitrary Dimension: The Vector Distance Functions.- Least-Squares Fitting of Algenbraic Spline Curves via Normal Vector Estimation.- Use of Reverse Automatic Differentiation in Ship Hull Optimisation.- Symmetry Sets and Medial Axes in Two and Three Dimensions.- Symmetry - A Research Direction in Curve and Surface Modelling: Some Results and Applications.- Functions and Methods to Analyze and Construct Developable Hull Surfaces.- Bipolar and Multipolar Coordinates.- Polar Curves and Surfaces.- Boundary Representation Models: Validity and Rectification.- Interval and Affine Arithmetic for Surface Location of Power- and Bernstein-Form Polynomials.- A Class of Bernstein Polynomials that Satisfy Descartes' Rule of Signs Exactly.- On Approximation in Spaces of Geometric Objects.- Representing the Time-Dependent Geometry of the Heart for Fluid Dynamical Analysis.- Application of Point-Based Smoothing to the Design of Flying Surfaces.- Modelling of Material Property Variation for Layered Manufacturing.