基本説明
Topics treated are: Curve and surface modelling - non-manifold modelling in CAD - multiresolution analysis of complex geometric models - surface reconstruction - variational design and more.
Full Description
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
Contents
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
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