Research Catalog

Title

Mathematical methods for curves and surfaces / edited by Morten Dæhlen, Tom Lyche, Larry L. Schumaker.

Publication

Nashville : Vanderbilt University Press, 1995.

Items in the Library & Off-site

Details

Additional Authors

• Dæhlen, Morten, 1959-
• Lyche, Tom.
• Schumaker, Larry L., 1939-

Description

xviii, 578 pages : illustrations; 24 cm

Subjects

• Curves on surfaces > Mathematical models > Congresses
• Surfaces > Mathematical models > Congresses

Note

• Papers from an international conference held June 16-21, 1994, in Ulvik, Norway.

Bibliography (note)

• Includes bibliographical references.

Contents

• G2 Approximation of an Offset Curve by Tschirnhausen Quartics / Rachid Ait Haddou and Luc Biard -- Circular Berstein-Bezier Polynomials / Peter Alfeld, Marian Neamtu and Larry L. Schumaker -- The Construction of a Basis of Periodic Wavelets / M. Atteia and H. Jaouni -- Pasting Spline Surfaces / Cristin Barghiel, Richard Bartels and David Forsey -- Recovering a Function with Discontinuities in Dimension Two / M. Bozzini and L. Lenarduzzi -- Spline Elements on Spheres / G. Brunnett, P. E. Crouch and F. Silva Leite -- Spectral Properties and Knot Removal for Interpolation by Pure Radial Sums / M. D. Buhmann, F. Derrien and A. Le Mehaute -- Convex Curves from Convex Control Polygons / J. M. Carnicer, M. Garcia and J. M. Pena -- Courbes et Profils Esthetiques contre Fonctions Orthogonales / Paul de Faget de Casteljau -- High Accuracy Approximation of Parametric curves / W. L. F. Degen --
• A Class of Orthogonal Multiresolution Analyses in 2D / George C. Donovan, Jeffrey S. Geronimo and Douglas P. Hardin -- Piecewise Uniform Subdivision Schemes / N. Dyn, J. A. Gregory and D. Levin -- An Approach to C[superscript (-1)] and C[superscript (0)] Feature Lines / M. Ellens and E. Cohen -- The Geometry of C[superscript 1] Projective Curves and Surfaces / G. Farin -- Adaptive Least Squares Fitting with Radial Basis Functions on the Sphere / Gregory E. Fasshauer -- Rational Cubic Implicitization / M. S. Floater -- Bernstein-Schoenberg Operators / Tim N. T. Goodman -- Avoiding Topological Anomalies in Quadric Surface Patches / Baining Guo -- Notions of Geometric Continuity Based on Geometric Invariants / A. W. Habib and R. N. Goldman -- Local Energy Fairing of B-Spline Surfaces / Jan Hadenfeld -- Geometric Modeling of the Cornea Using Videokeratography / Mark A. Halstead, Brian A. Barsky, Stanley A. Klein and Robert B. Mandell --
• Techniques for Variable Radius Rolling Ball Blends / T. Hermann, G. Lukacs and T. Varady -- Geometric Constraints for CAGD / Christoph M. Hoffmann and Jorg Peters -- Interpolation and Approximation with Developable B-Spline Surfaces / Josef Hoschek and Helmut Pottmann -- Characterization of Function Spaces Associated with Conditionally Positive Definitive Functions / Armin Iske -- Spatial Rational Motions and their Application in Computer Aided Geometric Design / B. Juttler -- Interpolatory Refinement as a Low Pass Filter / Leif Kobbelt -- Approximating the Length of a Spline by its Control Polygon / Leif Kobbelt and Hartmut Prautzsch -- Surface Reconstruction Based Upon Minimal Norm Networks / Andreas Kolb, Helmut Pottman and Hans-Peter Seidel -- Duality between Degree Elevation and Differentiation for B-bases and L-bases / Suresh Lodha and Ron Goldman -- NURBS Curve and Surface Fitting and Interpolation / Weiyin Ma and Jean-Pierre Kruth --
• Using Local Optimization in Surface Fitting / Stephen Mann -- C[superscript 1] Comonotone Hermite Interpolation via Parametric Surfaces / C. Manni and P. Sablonniere -- Genetic Algorithms in Free Form Curve Design / A. Markus, G. Renner and J. Vancza -- Blossoming of Chebyshev Splines / Marie-Laurence Mazure -- Appell and the Apple (Nonlinear Splines in Space) / Even Mehlum -- Parametric Interpolation by Quadratic Polynomials in the Plane / Knut Morken -- Approximation of Parametric Surfaces by Discrete Smoothing D[superscript m]-splines with Tangent Conditions / M. Pasadas, M. C. Lopez de Silanes and J. J. Torrens -- Studying NURBS Curves and Surfaces with Classical Geometry / Helmut Pottmann -- An Algorithm that Straightens and Smooths Piecewise Linear Curves in Two Dimensions / M. J. D. Powell -- Upper Bounds on the Dimension of Bivariate Spline Spaces and Duality in the Plane / Dirk-Jan Ripmeester --
• Some Families of B-splines with Hexagonal Support on a Three-direction Mesh / Paul Sablonniere and Driss Sbibih -- Creating Surfaces from Scattered Data Using Radial Basis Functions / R. Schaback -- Shape Blending of 2-D Piecewise Curves / Thomas W. Sederberg and Eugene Greenwood -- Normalized Cyclide Bezier Patches / Kenji Ueda -- Tight Triangulations / R. van Damme and L. Alboul -- Vertex Blending Based on the Setback Split / T. Varady and A. P. Rockwood -- Binary Subdivision Schemes for Functions over Irregular Knot Sequences / J. Warren -- Tensor-Product Spline Spaces with Knot Segments / Frank Weller and Hans Hagen -- Characterization of Positive Definite Radial Functions / Zongmin Wu.

ISBN

0826512682

LCCN

95018163

OCLC

• 32468088
• ocm32468088

Owning Institutions

Columbia University Libraries