Geometric Modelling

Dagstuhl 2002

S. Hahmann, G. Brunnett, Gerald Farin, R. Goldman (Herausgeber)

Buch | Softcover

VIII, 248 Seiten

2004 | 2004
Springer Wien (Verlag)
978-3-211-20818-2 (ISBN)

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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

Prof. Dr. Gerald Farin ist Professor am Computer Department der Arizona State University in Tempe/ Arizona (USA) und verfügt über reiche Erfahrungen aus der industriellen Anwendung des CAGD.

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.

Erscheint lt. Verlag	2.6.2004
Zusatzinfo	VIII, 248 p.
Verlagsort	Vienna
Sprache	englisch
Maße	155 x 235 mm
Gewicht	485 g
Themenwelt	Mathematik / Informatik ► Informatik
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
Schlagworte	3D • algorithms • CAD • CAM • Computational Geometry • Computer • Computer Graphics • Geometric Modelling • Geometrisches Modellieren • Modeling • Scientific visualization • Simulation • Triangulation • Virtual Reality • Visualization
ISBN-10	3-211-20818-6 / 3211208186
ISBN-13	978-3-211-20818-2 / 9783211208182
Zustand	Neuware