Mathematical Methods in Computer Aided Geometric Design

✍ Scribed by Tom Lyche, Larry L. Schumaker

• Publisher: Elsevier Inc, Academic Press
• Year: 1989
• Tongue: English
• Leaves: 603
• Series: v. 1
• Category: Library

✦ Table of Contents

Content:
Front Matter, Page iii
Copyright, Page iv
PREFACE, Page viii
PARTICIPANTS, Pages ix-xv
Scattered Data Interpolation in Three or More Variables, Pages 1-33, Peter Alfeld
Some Applications of Discrete Dm Splines, Pages 35-44, R. Arcangéli
Spline Elastic Manifolds, Pages 45-50, M. Atteia, M.N. Benbourhim
Geometry Processing: Curvature Analysis and Surface-Surface Intersection, Pages 51-60, Robert E. Barnhill
Three Examples of Dual Properties of Bézier Curves, Pages 61-69, P.J. Barry, R.N. Goldman
What is the Natural Generalization of a Bézier Curve?, Pages 71-85, P.J. Barry, R.N. Goldman
Convexity and a Multidimensional Version of the Variation Diminishing Property of Bernstein Polynomials, Pages 87-92, M. Beśka
Gröbner Basis Methods for Multivariate Splines, Pages 93-104, L.J. Billera, L.L. Rose
On Finite Element Interpolation Problems, Pages 105-113, J.M. Carnicer, M. Gasca
The Design of Curves and Surfaces by Subdivision Algorithms, Pages 115-153, Alfred S. Cavaretta, Charles A. Micchelli
A Data Dependent Parametrization for Spline Approximation, Pages 155-166, E. Cohen, C.L. O'Dell
On the Evaluation of Box Splines, Pages 167-179, Morten Dæhlen
Smooth Piecewise Quadric Surfaces, Pages 181-193, Wolfgang Dahmen
Inserting New Knots Into Beta-Spline Curves, Pages 195-205, P. Dierckx, B. Tytgat
Recursive Subdivision and Iteration in Intersections and Related Problems, Pages 207-214, Tor Dokken, Vibeke Skytt, Anne-Marie Ytrehus
Rational Curves and Surfaces, Pages 215-238, Gerald Farin
Hierarchical Segmentations of Algebraic Curves and Some Applications, Pages 239-248, Rida T. Farouki
An Algorithm for Shape Preserving Parametric Interpolating Curves with G2 Continuity, Pages 249-259, T.A. Foley, T.N.T. Goodman, K. Unsworth
Knot Selection for Parametric Spline Interpolation, Pages 261-271,CP1-CP4, Thomas A. Foley, Gregory M. Nielson
Splines and Estimation of Nonlinear Parameters, Pages 273-298, D. Girard, P.J. Laurent
On Beta-continuous Functions and Their Application to the Construction of Geometrically Continuous Curves and Surfaces, Pages 299-311, R.N. Goldman, B.A. Barsky
Algebraic Aspects of Geometric Continuity, Pages 313-332, R.N. Goldman, C.A. Micchelli
Shape Preserving Representations, Pages 333-351, T.N.T. Goodman
Geometric Continuity, Pages 353-371, John A. Gregory
Curvature Continuous Triangular Interpolants, Pages 373-384, Hans Hagen, Helmut Pottmann
Box-Spline Surfaces, Pages 385-402, Klaus Höllig
Parallelization of the Subdivision Algorithm for Intersection of Bézier Curves on the FPS T20, Pages 403-411, A. Kaufmann
Composite Quadrilateral Finite Elements of Class Cr, Pages 413-418, M. Laghchim-Lahlou, P. Sablonnière
A Knot Removal Strategy for Scattered Data in R2, Pages 419-426, A.J.Y. Le Méhauté, Y. Lafranche
Interpolation Systems and the Finite Element Method, Pages 427-434, J. Lorente, V. Ramirez
Uniform Bivariate Hermite Interpolation, Pages 435-444, R.A. Lorentz
A Survey of Applications of an Affine Invariant Norm, Pages 445-467, Gregory M. Nielson, Thomas A. Foley
An Algorithm for Smooth Interpolation to Scattered Data in R2, Pages 469-480, P.R. Pfluger, R.H.J. Gmelig Meyling
Some Remarks on Three B-Spline Constructions, Pages 481-487, Hartmut Prautzsch
Modified B-Spline Approximation for Quasi-Interpolation or Filtering, Pages 489-498, Christophe Rabut
Design Tools for Shaping Spline Models, Pages 499-519, R.F. Riesenfeld
A Process Oriented Design Method for Three-dimensional CAD Systems, Pages 521-528, D. Roller, E. Gschwind
Open Questions in the Application of Multivariate B-splines, Pages 529-537, Malcolm Sabin
On Global GC2 Convexity Preserving Interpolation of Planar Curves by Piecewise Bézier Polynomials, Pages 539-547, R. Schaback
Best Interpolation with Free Nodes by Closed Curves, Pages 549-559, Karl Scherer
Segmentation Operators on Coons' Patches, Pages 561-572, Guido Schulze
A General Subdivision Theorem for Bézier Triangles, Pages 573-581, H.-P. Seidel
Cardinal Interpolation with Translates of Shifted Bivariate Box-Splines, Pages 583-592, Joachim Stoeckler
Approximation of Surfaces Constrained by a Differential Equation Using Simplex Splines, Pages 593-599, C.R. Traas
A Construction for VC1 Continuity of Rational Bézier Patches, Pages 601-611, A. Vinacua, P. Brunet