Synopses & Reviews
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
Table of Contents
G. Albrecht: An Algorithm for Parametric Quadric Patch Construction P. N. Azariadis, N. S. Sapidis: Planar Development of Free-Form Surfaces: Quality Evaluation and Visual Inspection M. Bertram: Biorthogonal Loop-Subdivision Wavelets P. Chalmovianský, B. Jüttler: Fairness Criteria for Algebraic Curves R. Goldenthal, M. Bercovier: Spline Curve Approximation and Design by Optimal Control over the Knots T. A. Grandine, T. A. Hogan: A Parametric Quartic Spline Interpolant to Position, Tangent and Curvature D. Hong, L. L. Schumaker: Surface Compression Using a Space of C1 Cubic Splines with a Hierarchical Basis I. P. Ivrissimtzis, H.-P. Seidel: Evolutions of Polygons in the Study of Subdivision Surfaces J. K. Johnstone: The Bézier Tangential Surface System: a Robust Dual Representation of Tangent Space M. I. Karavelas, P. D. Kaklis, K. V. Kostas: Bounding the Distance between 2D Parametric Bézier Curves and their Control Polygon L. Linsen, V. Pascucci, M. A. Duchaineau, B. Hamann, K. I. Joy: Wavelet-Based Multiresolution with nV2 Subdivision C. Manni, F. Pelosi: Quasi-Interpolants with Tension Properties from and in CAGD B. Sauvage, S. Hahmann, G.-P. Bonneau: Length Preserving Multiresolution Editing of Curves J.-K. Seong, G. Elber, J. K. Johnstone, M.-S. Kim: The Convex Hull of Freeform Surfaces A. Sheffer, C. Gotsman, N. Dyn: Robust Spherical Parameterization of Triangular Meshes H. Ugail: Spine Based Shape Parameterisation for PDE Surfaces M. Vanco, G. Brunnett: Direct Segmentation of Algebraic Models for Reverse Engineering M. Vigo, N. Pla, D. Ayala: Two Triangulation Methods Based on Edge Refinement W. Wang, Y.-K. Choi, B. Chan, M.-S. Kim, J. Wang: Efficient Collision Detection for Moving Ellipsoids Using Separating Planes