Mathematical Methods for Curves and Surfaces [[electronic resource] ] : 7th International Conference, MMCS 2008, Tønsberg, Norway, June 26-July 1, 2008, Revised Selected Papers / / edited by Morten Dæhlen, Michael S. Floater, Tom Lyche, Jean-Louis Merrien, Knut Morken, Larry L. Schumaker |
Edizione | [1st ed. 2010.] |
Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2010 |
Descrizione fisica | 1 online resource (446 p. 193 illus.) |
Disciplina | 516.352 |
Collana | Theoretical Computer Science and General Issues |
Soggetto topico |
Image processing—Digital techniques
Computer vision Computer graphics Computer simulation Computer-aided engineering Computer science—Mathematics Discrete mathematics Computer Imaging, Vision, Pattern Recognition and Graphics Computer Graphics Computer Modelling Computer-Aided Engineering (CAD, CAE) and Design Computer Vision Discrete Mathematics in Computer Science |
ISBN |
1-280-38559-6
9786613563514 3-642-11620-5 |
Classificazione |
DAT 756f
MAT 532f MAT 533f SK 370 SS 4800 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | MMCS 2008 -- Partial Differential Equations for Interpolation and Compression of Surfaces -- Construction of Rational Curves with Rational Rotation-Minimizing Frames via Möbius Transformations -- Fat Arcs for Implicitly Defined Curves -- Geometric Properties of the Adaptive Delaunay Tessellation -- Quadrangular Parameterization for Reverse Engineering -- A Comparison of Three Commodity-Level Parallel Architectures: Multi-core CPU, Cell BE and GPU -- Mean Distance from a Curve to Its Control Polygon -- Compactly Supported Splines with Tension Properties on a Three-Direction Mesh -- Some Geometrical Aspects of Control Points for Toric Patches -- A Comparison of Different Progressive Iteration Approximation Methods -- A Topological Lattice Refinement Descriptor for Subdivision Schemes -- Subdivision Schemes and Norms -- Geometric Design Using Space Curves with Rational Rotation-Minimizing Frames -- Multiresolution Analysis for Minimal Energy C r -Surfaces on Powell-Sabin Type Meshes -- Segmentation of 3D Tubular Structures by a PDE-Based Anisotropic Diffusion Model -- Smoothing the Antagonism between Extraordinary Vertex and Ordinary Neighbourhood on Subdivision Surfaces -- Simplification of FEM-Models on Cell BE -- Effects of Noise on Quantized Triangle Meshes -- Reparameterization of Curves and Surfaces with Respect to Their Convolution -- An Introduction to Guided and Polar Surfacing -- An Iterative Algorithm with Joint Sparsity Constraints for Magnetic Tomography -- Constructing Good Coefficient Functionals for Bivariate C 1 Quadratic Spline Quasi-Interpolants -- Sampling and Stability -- Shape Preserving Hermite Interpolation by Rational Biquadratic Splines -- Tensor Product B-Spline Mesh Generation for Accurate Surface Visualizations in the NIST Digital Library of Mathematical Functions -- Low Degree Euclidean and Minkowski Pythagorean Hodograph Curves -- On the Local Approximation Power of Quasi-Hierarchical Powell-Sabin Splines -- Logarithmic Curvature and Torsion Graphs. |
Record Nr. | UNINA-9910483954303321 |
Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2010 | ||
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Lo trovi qui: Univ. Federico II | ||
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Mathematical methods in computer aided geometric design II / / edited by Tom Lyche, Larry L. Schumaker |
Edizione | [United Kingdom edition.] |
Pubbl/distr/stampa | San Diego, California ; ; London, England : , : Academic Press, Inc., , 1992 |
Descrizione fisica | 1 online resource (649 p.) |
Disciplina | 516/.15/0285 |
Soggetto topico | Geometry - Data processing |
ISBN | 1-4832-5798-3 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
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 |
Record Nr. | UNINA-9910786638403321 |
San Diego, California ; ; London, England : , : Academic Press, Inc., , 1992 | ||
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Lo trovi qui: Univ. Federico II | ||
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Mathematical methods in computer aided geometric design II / / edited by Tom Lyche, Larry L. Schumaker |
Edizione | [United Kingdom edition.] |
Pubbl/distr/stampa | San Diego, California ; ; London, England : , : Academic Press, Inc., , 1992 |
Descrizione fisica | 1 online resource (649 p.) |
Disciplina | 516/.15/0285 |
Soggetto topico | Geometry - Data processing |
ISBN | 1-4832-5798-3 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
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 |
Record Nr. | UNINA-9910827882003321 |
San Diego, California ; ; London, England : , : Academic Press, Inc., , 1992 | ||
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Lo trovi qui: Univ. Federico II | ||
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Splines and PDEs: From Approximation Theory to Numerical Linear Algebra [[electronic resource] ] : Cetraro, Italy 2017 / / by Angela Kunoth, Tom Lyche, Giancarlo Sangalli, Stefano Serra-Capizzano ; edited by Tom Lyche, Carla Manni, Hendrik Speleers |
Autore | Kunoth Angela |
Edizione | [1st ed. 2018.] |
Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018 |
Descrizione fisica | 1 online resource (IX, 318 p. 62 illus., 51 illus. in color.) |
Disciplina | 511.42 |
Collana | C.I.M.E. Foundation Subseries |
Soggetto topico |
Numerical analysis
Approximation theory Partial differential equations Numerical Analysis Approximations and Expansions Partial Differential Equations |
ISBN | 3-319-94911-X |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Foundations of Spline Theory: B-Splines, Spline Approximation, and Hierarchical Refinement -- Adaptive Multiscale Methods for the Numerical Treatment of Systems of PDEs -- Generalized Locally Toeplitz Sequences: A Spectral Analysis Tool for Discretized Differential Equations -- Isogeometric Analysis: Mathematical and Implementational Aspects, with Applications. |
Record Nr. | UNINA-9910300134203321 |
Kunoth Angela
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Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018 | ||
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Lo trovi qui: Univ. Federico II | ||
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Splines and PDEs: From Approximation Theory to Numerical Linear Algebra [[electronic resource] ] : Cetraro, Italy 2017 / / by Angela Kunoth, Tom Lyche, Giancarlo Sangalli, Stefano Serra-Capizzano ; edited by Tom Lyche, Carla Manni, Hendrik Speleers |
Autore | Kunoth Angela |
Edizione | [1st ed. 2018.] |
Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018 |
Descrizione fisica | 1 online resource (IX, 318 p. 62 illus., 51 illus. in color.) |
Disciplina | 511.42 |
Collana | C.I.M.E. Foundation Subseries |
Soggetto topico |
Numerical analysis
Approximation theory Partial differential equations Numerical Analysis Approximations and Expansions Partial Differential Equations |
ISBN | 3-319-94911-X |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Foundations of Spline Theory: B-Splines, Spline Approximation, and Hierarchical Refinement -- Adaptive Multiscale Methods for the Numerical Treatment of Systems of PDEs -- Generalized Locally Toeplitz Sequences: A Spectral Analysis Tool for Discretized Differential Equations -- Isogeometric Analysis: Mathematical and Implementational Aspects, with Applications. |
Record Nr. | UNISA-996466629803316 |
Kunoth Angela
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Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018 | ||
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Lo trovi qui: Univ. di Salerno | ||
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