Geometric Modelling -

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Résumé :
In 19 articles presented by leading experts in the field of geometric modelling the state-of-the-art on representing, modeling, and analyzing curves, surfaces as well as other 3-dimensional geometry is given. The range of applications include CAD/CAM-systems, computer graphics, scientific visualization, virtual reality, simulation and medical imaging. The content of this book is based on selected lectures given at a workshop held at IBFI Schloss Dagstuhl, Germany. Topics treated are: ? curve and surface modelling ? non-manifold modelling in CAD ? multiresolution analysis of complex geometric models ? surface reconstruction ? variational design ? computational geometry of curves and surfaces ? 3D meshing ? geometric modelling for scientific visualization ? geometric models for biomedical applications

Sommaire:
An Algorithm for Parametric Quadric Patch Construction.- Planar Development of Free-Form Surfaces: Quality Evaluation and Visual Inspection.- Biorthogonal Loop-Subdivision Wavelets.- Fairness Criteria for Algebraic Curves.- Spline Curve Approximation and Design by Optimal Control Over the Knots.- A Parametric Quartic Spline Interpolant to Position, Tangent and Curvature.- Surface Compression Using a Space of C1 Cubic Splines with a Hierarchical Basis.- Evolutions of Polygons in the Study of Subdivision Surfaces.- The B?zier Tangential Surface System: a Robust Dual Representation of Tangent Space.- Bounding the Distance between 2D Parametric B?zier Curves and their Control Polygon.- Wavelet-Based Multiresolution with % MathType!MTEF!2!1!+- % feaagCart1ev2aaatCvAUfKttLearuavP1wzZbItLDhis9wBH5garm % Wu51MyVXgaruWqVvNCPvMCaebbnrfifHhDYfgasaacH8srps0lbbf9 % q8WrFfeuY-Hhbbf9v8qqaqFr0xc9pk0xbba9q8WqFfea0-yr0RYxir % -Jbba9q8aq0-yq-He9q8qqQ8frFve9Fve9Ff0dmeaabaqaciGacaGa % aeqabaWaaeaaeaaakeaadaGcbaqaaiabikdaYaWcbaGaemOBa4gaaa % aa!31E1! dollars dollars \sqrt[n]{2} dollars dollars Subdivision.- Quasi-Interpolants with Tension Properties from and in CAGD.- Length Preserving Multiresolution Editing of Curves.- The Convex Hull of Freeform Surfaces.- Robust Spherical Parameterization of Triangular Meshes.- Spine Based Shape Parameterisation for PDE Surfaces.- Direct Segmentation of Algebraic Models for Reverse Engineering.- Two Triangulation Methods Based on Edge Refinement.- Efficient Collision Detection for Moving Ellipsoids Using Separating Planes.