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:
â curve and surface modelling
â non-manifold modelling in CAD
â multiresolution analysis of complex geometric models
â surface reconstruction
â variational design
â computational geometry of curves and surfaces
â 3D meshing
â geometric modelling for scientific visualization
â geometric models for biomedical applications
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Topics treated are:â curve and surface modellingâ non-manifold modelling in CADâ multiresolution analysis of complex geometric modelsâ surface reconstructionâ variational designâ computational geometry of curves and surfacesâ 3D meshingâ geometric modelling for scientific visualizationâ geometric models for biomedical applications
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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 BĂŠzier Tangential Surface System: a Robust Dual Representation of Tangent Space.- Bounding the Distance between 2D Parametric BĂŠzier Curves and their Control Polygon.- Wavelet-Based Multiresolution with
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$$ 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.
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Produktdetaljer
ISBN
9783211208182
Publisert
2004-06-02
Utgiver
Vendor
Springer Verlag GmbH
Høyde
235 mm
Bredde
155 mm
AldersnivĂĽ
Research, UU, UP, P, 05, 06
SprĂĽk
Product language
Engelsk
Format
Product format
Heftet