Curves and Surfaces

Preface, Contributors, Properties of Interpolating Means with Exponential-Type Weights, Approximating Reachable Sets by Extrapolation Methods, Unimodality Property of Quartic B-splines, Object Oriented Spline Software, On Polynomial Functions Defining the Geometric Continuity Between Two (SBR) Surfaces, A 3D Generalized Voronoi Diagram for a Set of Polyhedra, Variational Design of Rational B©zier Curves and Surfaces, An Introduction to Pad© Approximations, Discrete Curves and Curvature Constraints, A Necessary and Sufficient Condition for the C[sup(K)] Continuity of Triangular Rational Surfaces, Monotonicity Preserving Representations, Splines Focales, A Surface-Surface Intersection Algorithm with a Fast Clipping Technique, Zonoidal Surfaces, Spline Conversion: Existing Solutions and Open Problems, A Stepwise Algorithm for Converting B-Splines, Best Constrained Approximations of Planar Curves by Bezier Curves, Projective Blossoms and Derivatives, Characterizations of the Set of Rational Parametric Curves with Rational Offsets, A Necessary and Sufficient Condition for Joining B-Rational Curves with Geometric Continuity G[sup(3)], Generalizations of B©zier Curves and Surfaces, Corner Cutting Algorithms and Totally Positive Matrices, Piecewise Polynomial Approximation of Spheres, Non-polynomial Polar Forms, Curvature of Rational Quadratic Splines, B-Spline Knot-Line Elimination and Bezier Continuity Conditions, Applications of Constrained Polynomials to Curve and Surface Approximation, Semi-regular B-spline Surfaces: Generalized Lofting by B-splines, On Best Convex Interpolation of Curves, Approximate Conversion arid Data Compression of Integral and Rational B-spline Surfaces, A Geometrical Approach to Interpolation on Quadric Surfaces, Finding Shortest Paths on Surfaces, Polygonalization of Algebraic Surfaces, A Knot Removal Strategy for Spline Curves, Computation of Curvatures Related to Surface-Surface Blending, Least-Squares Optimization of Thread Surfaces, A Multivariate Generalization of the de Boor-Fix Formula, A Metric for Parametric Approximation, Mathematical Modelling of Free-Form Curves and Surfaces from Discrete Points with NURBS, Evaluating Surface Intersections in Lower Dimensions, The Iterative Solution of a Nonlinear Inverse Problem from Industry: Design of Reflectors, Splines with Prescribed Modified Moments, G[sup(2)]-Continuous Cubic Algebraic Splines and Their Efficient Display, Splines in a Topological Setting, A Characterization of Connecting Maps as Nonlinear Roots of the Identity, Applications of the Dual B©zier Representation of Rational Curves and Surfaces, Interpolation with an Arc Length Constraint, Curve Reconstruction, The Ubiquitous Ellipse, Axial Convexity: A Well-shaped Shape Property, Variation Diminution and Blossoming for Curves and Surfaces, Approximation with Helix Splines, Simplex Splines Support Surprisingly Strong Symmetric Structures and Subdivision, An Object-Oriented Framework for Curves and Surfaces with Applications, Designing a Progressive Lens, Multiplication as a General Operation for Splines, Symmetric TB-spline Schemes,