Mathematical Methods in Computer Aided Geometric Design II

PrefaceParticipantsSymmetrizing Multiaffine PolynomialsNorm Estimates for Inverses of Distance MatricesNumerical Treatment of Surface-Surface-Intersection and ContouringModeling Closed Surfaces: A Comparison of Existing MethodsA New Characterization of Plane ElasticaPOLynomials, POLar Forms, and InterPOLationPyramid Patches Provide Potential Polynomial ParadigmsImplicitizing Rational Surfaces with Base Points by Applying Perturbations and the Factors of Zero TheoremWavelets and Multiscale InterpolationDecomposition of SplinesA Curve Intersection Algorithm with Processing of Singular Cases: Introduction of a Clipping TechniqueBest Approximations of Parametric Curves by SplinesAn Approximately G1 Cubic Surface InterpolantOn the G2 Continuity of Piecewise Parametric SurfacesStationary and Non-Stationary Binary Subdivision SchemesMQ-Curves are Curves in TensionOffset Approximation Improvement by Control Point PerturbationCurves and Surfaces in Geometrical OpticsEvaluation and Properties of the Derivative of a NURBS CurveHybrid Cubic Bézier Triangle PatchesModelling Geological Structures Using SplinesWonderful Triangle: A Simple, Unified, Algorithmic Approach to Change of Basis Procedures in Computer Aided Geometric DesignAn Arbitrary Mesh Network Scheme Using Rational SplinesBézier Curves and Surface Patches on QuadricsMonotonicity Preserving Interpolation Using C2 Rational Cubic Bézier CurvesMinimization of Interpolating Spline Curves with Bounded DerivativesOn Piecewise Quadratic G2 Approximation and InterpolationNon-Affine Blossoms and Subdivision for Q-SplinesOn a Class of Data Parametrizations: Variations on a Theme of Epstein, IIWavelets and Image CompressionLower Bounds on the Dimension of Bivariate Spline Spaces and Generic TriangulationsGeometric Contact of Order p Between Two SurfacesOn Non-Parametric Constrained InterpolationTensor Product SlicesConstruction of Smooth Surfaces by Piecewise Tensor Product PolynomialsThe Virtues of Cyclides in CAGDSimple Surfaces Have No Simple C1 ParametrizationSome Tools for Quasi-Interpolation on Cardinal GridsDiscrete Bezier Curves and SurfacesRational Geometric Curve InterpolationCurvature Properties of Parametric Triangular Bézier PatchesOffsets of Polynomial Bézier Curves: Hermite Approximation with Error BoundsRepresenting Piecewise Polynomials as Linear Combinations of Multivariate B-SplinesAn Explicit Derivation of Discretely Shaped Beta-Spline Basis Functions of Arbitrary OrderDiscrete Convolution SchemesA Method of Removing the Singularities from Gregory SurfacesBivariate Spline Approximation by Penalized Least SquaresInterpolation with g-Splines