Geometric Modelling

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.

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.