Geometric Modelling

Dagstuhl 2002

Häftad, Engelska, 2004

AvS. Hahmann,G. Brunnett,Gerald Farin,R. Goldman,Stefanie Hahmann,Guido Brunnett

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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 applicationsinclude 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

Produktinformation

Utgivningsdatum2004-06-02
Mått155 x 235 x 15 mm
Vikt400 g
FormatHäftad
SpråkEngelska
Antal sidor248
Upplaga2004
FörlagSpringer Verlag GmbH
ISBN9783211208182

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Matematik inom Naturvetenskap och teknik
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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 Bézier Tangential Surface System: a Robust Dual Representation of Tangent Space.- Bounding the Distance between 2D Parametric Bézier Curves and their Control Polygon.- Wavelet-Based Multiresolution with % MathType!MTEF!2!1!+-% feaagCart1ev2aaatCvAUfKttLearuavP1wzZbItLDhis9wBH5garm% Wu51MyVXgaruWqVvNCPvMCaebbnrfifHhDYfgasaacH8srps0lbbf9% q8WrFfeuY-Hhbbf9v8qqaqFr0xc9pk0xbba9q8WqFfea0-yr0RYxir% -Jbba9q8aq0-yq-He9q8qqQ8frFve9Fve9Ff0dmeaabaqaciGacaGa% aeqabaWaaeaaeaaakeaadaGcbaqaaiabikdaYaWcbaGaemOBa4gaaa% aa!31E1!$$\sqrt[n]{2}$$ 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.