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TitleGeometric Modelling [electronic resource] : Dagstuhl 2002 / edited by Stefanie Hahmann, Guido Brunnett, Gerald Farin, Ron Goldman
ImprintVienna : Springer Vienna : Imprint: Springer, 2004
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Descript VIII, 248 p. online resource


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


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 Bรฉzier Tangential Surface System: a Robust Dual Representation of Tangent Space -- Bounding the Distance between 2D Parametric Bรฉzier 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

Mathematics Numerical analysis Computer science -- Mathematics Computer graphics Computer-aided engineering Algorithms Geometry Mathematics Geometry Math Applications in Computer Science Numeric Computing Computer Graphics Computer-Aided Engineering (CAD CAE) and Design Algorithms


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