Advanced Course on FAIRSHAPE

I: 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.