Advanced Course on FAIRSHAPE

InhaltsverzeichnisI: Fairing and Shape Preserving of Curves.Experiences in Curve Fairing.Co-convexity preserving Curve Interpolation.Shape Preserving Interpolation by Planar Curves.Shape Preserving Interpolation by Curves in Three Dimensions.A coparative study of two curve fairing methods in Tribon Initial Design.II: Fairing Curves and Surfaces.Fairing of B-Spline Curves and Surfaces.Declarative Modeling of fair shapes: An additional approach to curves and surfaces computations.III: Shape Preserving of Curves and Surfaces.Shape-preserving interpolation with variable degree polynomial splines.IV Fairing of Surfaces.Functional Aspects of Fairness.Surface design based on brightness intensity or isophotes-theory and practice.Fair surface blending, an overview of industrial problems.Multivariate Splines with Convex B-Patch Control Nets are Convex.V: Shape Preserving of Surfaces.Parametrizing Wing Surfaces using Partial Differential Equations.Algorithms for convexity preserving interpolation of scattered data.Abstract schemes for functional shape-preserving interpolation.Tensor Product Spline Interpolation subject to Piecewise Bilinear Lower and Upper Bounds.Construction of Surfaces by Shape Preserving Approximation of Contour Data.B-Spline Approximation with Energy Constraints.Curvature approximation with application to surface modeling.Scattered Data Approximation with Triangular B-Splines.VI: Benchmarks.Benchmarking in the Area of Planar Shape-Preserving Interpolation.Benchmark Process in the Area of Shape-Constrained Approximation.