Geometric Modelling

Dagstuhl 2002

Häftad, Engelska, 2004

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

1 409 kr

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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

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.