Mathematical Methods for Curves and Surfaces: Oslo 2000

Mathematical Methods for Curves and Surfaces: Oslo 2000

by Tom Lyche
     
 

ISBN-10: 0826513786

ISBN-13: 9780826513786

Pub. Date: 07/01/2001

Publisher: Vanderbilt University Press


Contains a carefully edited selection of papers that were presented at the Symposium on Trends in Approximation Theory, held in May 2000, and at the Oslo Conference on Mathematical Methods for Curves and Surfaces, held in July 2000. Mathematical Methods for Curves and Surfaces covers topics such as Bézier curves, conic sections, offsets, and wavelets.  See more details below

Overview


Contains a carefully edited selection of papers that were presented at the Symposium on Trends in Approximation Theory, held in May 2000, and at the Oslo Conference on Mathematical Methods for Curves and Surfaces, held in July 2000. Mathematical Methods for Curves and Surfaces covers topics such as Bézier curves, conic sections, offsets, and wavelets.

Product Details

ISBN-13:
9780826513786
Publisher:
Vanderbilt University Press
Publication date:
07/01/2001
Series:
Innovations in Applied Mathematics
Edition description:
1 ED
Pages:
400
Product dimensions:
6.30(w) x 9.10(h) x 1.30(d)

Table of Contents

Preface
Contributors
Best-Fit of Implicit Surfaces and Plane Curves1
Determination of Geometrical Invariants of Rationally Parametrized Conic Sections15
A Scattered Data Approximation Scheme for the Detection of Fault Lines25
Beta-Continuity Revisited: Determining Bezier Control Vertices to Construct Geometrically Continuous Curves and Surfaces35
Simplification of Closed Triangulated Surfaces Using Simulated Annealing45
Planar Configurations with Simple Lagrange Interpolation Formulae55
Approximating Semi-Structured Data with Different Errors Using Support Vector Machine Regression63
Subdivision Surfaces in Feature Films73
Approximate Implicitization81
An Approach to Weak Approximate Implicitization103
A 4-Point Hermite Subdivision Scheme113
Univariate Adaptive Thinning123
Optimizing 3D Triangulations Using Discrete Curvature Analysis135
Refinable Spline Functions and Hermite Interpolation147
Approximating Digital Shapes by Parametric Surfaces163
Clifford Algebra and Flows173
Surface Self-Intersection183
Error Estimates for the web-Spline Method195
Hierarchical Scattered Data Filtering for Multilevel Interpolation Schemes211
Bounding the Hausdorff Distance Between Implicitly Defined and/or Parametric Curves223
Biangle Surface Patches233
Some Examples of Quasi-interpolants Constructed from Local Spline Projectors243
Single-Valued Tubular Surface Intersection Using Interval Arithmetic253
Surface Animation for Flower Growth263
Multiresolution Editing of Pasted Surfaces273
Knot Insertion Algorithms and Local Linear Independence283
Local Tension Methods for Bivariate Scattered Data Interpolation293
Data Reduction in Surface Approximation315
The Analytic Blossom325
Bezier Curves: Topological Convergence of the Control Polygon347
What is the Natural Generalization of Univariate Splines to Higher Dimensions?355
Local Lagrange Interpolation by Bivariate C[superscript 1] Cubic Splines393
Stability of Collocation by Smooth Splines for Volterra Integral Equations405
G[superscript 1]-Hermite Interpolation of Ruled Surfaces413
Recovering Structural Information from Triangulated Surfaces423
Lower Bounds for Bernstein-Bezier Condition Number433
Improved Bi-Laplacian Mesh Fairing445
Approximate Envelope Reconstruction for Moving Solids455
Towards the [mu]-Basis of a Rational Surface467
A Strategy for the Construction of Piecewise Linear Prewavelets over Type-1 Triangulations in any Space Dimension477
A Mixed Representation Approach to Offsets of Rational Curves487
Pedal Curves and Surfaces497
Generalizing the C[superscript 4] Four-directional Box Spline to Surfaces of Arbitrary Topology507
Moving Least Squares Approximation on the Sphere517
NURPS for Special Effects and Quadrics527
Computational Experiments with Resultants for Scaled Bernstein Polynomials535
Deformation With Hierarchical B-Splines545

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