Mathematical methods in computer aided geometric design II / / edited by Tom Lyche, Larry L. Schumaker

• Pubblicazione: San Diego, California ; ; London, England : , : Academic Press, Inc., , 1992; ©1992
• Edizione: United Kingdom edition.
• Descrizione fisica: 1 online resource (649 p.)
• Disciplina: 516/.15/0285
• Soggetto topico: Geometry - Data processing
• Persona (resp. second.): LycheTom; SchumakerLarry L.
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: Front Cover; Mathematical Methods in Computer Aided Geometric Design II; Copyright Page; Table of Contents; PREFACE; PARTICIPANTS; Chapter 1. Symmetrizing Multiaffine Polynomials; 1. Introduction and Motivation; 2. Cubics; 3. Quartics, Quintics, and Sextics; 4. Observations on Conversion to B-spline Form; 5. Open Questions; References; Chapter 2. Norm Estimates for Inverses of Distance Matrices; 1. Introduction; 2. The Univariate Case for the Euclidean Norm; 3. The Multivariate Case for the Euclidean Norm; 4. Fourier Transforms and Bessel Transforms ; 5. The Least Upper Bound for Subsets of the Integer GridReferences; Chapter 3. Numerical Treatment ofSurface-Surface Intersection and Contouring; 1. Introduction; 2. Lattice Evaluation(2D Grid-Methods); 3. Marching Based on Davidenko's Differential Equation; 4. Marching Based on Taylor Expansion; 5. Conclusion and Future Extensions; References; Chapter 4. Modeling Closed Surfaces:A Comparison of Existing Methods; 1. Introduction; 2. Subdivision Schemes; 3. Discrete Interpolation; 4. Algebraic Interpolation; 5. TransfiniteInterpolation; 6. Octree and Face Octree Representations ; 7. Discussion of These Modeling SchemesReferences; Chapter 5. A New Characterization of PlaneElastica; 1. Introduction; 2. A Characterization of Elástica by their Curvature Function; 3. A Characterizing Representation Theorem; References; Chapter 6. POLynomials, POLar Forms, and InterPOLation; 1. Introduction; 2. Algebraic Definition of Polar Curves; 3. Interpolation; 4. Conclusion and a Few Historical Remarks; Chapter 7. Pyramid Patches ProvidePotential Polynomial Paradigms; 1. Introduction; 2. Linear Independence of Families of Lineal Polynomials; 3. B-patches for Hn(IRs) ; 4. Other Pyramid Schemes5. B-patches for IIn(IRs); 6. Degree Raising, Conversion and Subdivision for B-patches; References; Chapter 8. Implicitizing Rational Surfaces with Base Points by Applying Perturbations and theFactors of Zero Theorem; 1. Introduction; 2. Mathematical Preliminaries; 3. The Factors of Zero Theorem; 4. Implicitization with Base Points Using the Dixon Resultant; 5. An Implicitization Example; 6. Conclusion and Open Problems; References; Chapter 9. Wavelets and Multiscale Interpolation; 1. Introduction; 2. Wavelets and MultiresolutionAnalysis ; 3. Fundamental Scaling Functions4. Symmetric and Compactly Supported Scaling Functions; 5. Subdivision Schemes; 6. Regularity; References; Chapter 10. Decomposition of Splines; 1. Introduction; 2. Decomposition; 3. Decomposing Splines; 4. Box Spline Decomposition; 5. Data Reduction by Decomposition; References; Chapter 11. A Curve Intersection Algorithm with Processing of Singular Cases: Introductionof a CHpping Technique; 1. Introduction; 2. Clipping; 3. Singular Cases; 4. Examples; 5. Extension to Surfaces; 6. Conclusion; References ; Chapter 12. Best Approximations of ParametricCurves by Splines
• Sommario/riassunto: Mathematical Methods in Computer Aided Geometric Design II
• Titolo autorizzato: Mathematical Methods in Computer Aided Geometric Design II
• ISBN: 1-4832-5798-3
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910827882003321
• Lo trovi qui: Univ. Federico II