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Geometric modeling and processing : GMP 2006 : 4th international conference, Pittsburgh, PA, USA, July 26-28, 2006 : proceedings / / Myung-Soo Kim, Kenji Shimada (eds.)
| Geometric modeling and processing : GMP 2006 : 4th international conference, Pittsburgh, PA, USA, July 26-28, 2006 : proceedings / / Myung-Soo Kim, Kenji Shimada (eds.) |
| Edizione | [1st ed. 2006.] |
| Pubbl/distr/stampa | Berlin ; ; New York, : Springer, c2006 |
| Descrizione fisica | 1 online resource (XVI, 704 p.) |
| Disciplina | 516.00285 |
| Altri autori (Persone) |
KimMyung-Soo
ShimadaKenji |
| Collana |
Lecture notes in computer science
LNCS sublibrary. SL 1, Theoretical computer science and general issues |
| Soggetto topico |
Computer-aided design
Computer graphics Geometrical models - Data processing Geometry - Data processing |
| ISBN | 3-540-36865-5 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Shape Reconstruction -- Automatic Extraction of Surface Structures in Digital Shape Reconstruction -- Ensembles for Normal and Surface Reconstructions -- Adaptive Fourier-Based Surface Reconstruction -- Curves and Surfaces I -- Least–Squares Approximation by Pythagorean Hodograph Spline Curves Via an Evolution Process -- Geometric Accuracy Analysis for Discrete Surface Approximation -- Quadric Surface Extraction by Variational Shape Approximation -- Geometric Processing I -- Tracking Point-Curve Critical Distances -- Theoretically Based Robust Algorithms for Tracking Intersection Curves of Two Deforming Parametric Surfaces -- Subdivision Termination Criteria in Subdivision Multivariate Solvers -- Towards Unsupervised Segmentation of Semi-rigid Low-Resolution Molecular Surfaces -- Curves and Surfaces II -- Piecewise Developable Surface Approximation of General NURBS Surfaces, with Global Error Bounds -- Efficient Piecewise Linear Approximation of Bézier Curves with Improved Sharp Error Bound -- Approximate ?-Bases of Rational Curves and Surfaces -- Shape Deformation -- Inverse Adaptation of Hex-dominant Mesh for Large Deformation Finite Element Analysis -- Preserving Form-Features in Interactive Mesh Deformation -- Surface Creation and Curve Deformations Between Two Complex Closed Spatial Spline Curves -- Shape Description -- Computing a Family of Skeletons of Volumetric Models for Shape Description -- Representing Topological Structures Using Cell-Chains -- Constructing Regularity Feature Trees for Solid Models -- Insight for Practical Subdivision Modeling with Discrete Gauss-Bonnet Theorem -- Shape Recognition -- Shape-Based Retrieval of Articulated 3D Models Using Spectral Embedding -- Separated Medial Surface Extraction from CT Data of Machine Parts -- Two-Dimensional Selections for Feature-Based Data Exchange -- Geometric Modeling -- Geometric Modeling of Nano Structures with Periodic Surfaces -- Minimal Mean-Curvature-Variation Surfaces and Their Applications in Surface Modeling -- Parametric Design Method for Shapes with Aesthetic Free-Form Surfaces -- Curves and Surfaces III -- Control Point Removal Algorithm for T-Spline Surfaces -- Shape Representations with Blossoms and Buds -- Manifold T-Spline -- Subdivision Surfaces -- Composite Subdivision Surfaces -- Tuned Ternary Quad Subdivision -- Geometric Processing II -- Simultaneous Precise Solutions to the Visibility Problem of Sculptured Models -- Density-Controlled Sampling of Parametric Surfaces Using Adaptive Space-Filling Curves -- Engineering Applications -- Verification of Engineering Models Based on Bipartite Graph Matching for Inspection Applications -- A Step Towards Automated Design of Side Actions in Injection Molding of Complex Parts -- Finding All Undercut-Free Parting Directions for Extrusions -- Short Papers -- Robust Three-Dimensional Registration of Range Images Using a New Genetic Algorithm -- Geometrical Mesh Improvement Properties of Delaunay Terminal Edge Refinement -- Matrix Based Subdivision Depth Computation for Extra-Ordinary Catmull-Clark Subdivision Surface Patches -- Hierarchically Partitioned Implicit Surfaces for Interpolating Large Point Set Models -- A New Class of Non-stationary Interpolatory Subdivision Schemes Based on Exponential Polynomials -- Detection of Closed Sharp Feature Lines in Point Clouds for Reverse Engineering Applications -- Feature Detection Using Curvature Maps and the Min-cut/Max-flow Algorithm -- Computation of Normals for Stationary Subdivision Surfaces -- Voxelization of Free-Form Solids Represented by Catmull-Clark Subdivision Surfaces -- Interactive Face-Replacements for Modeling Detailed Shapes -- Straightest Paths on Meshes by Cutting Planes -- 3D Facial Image Recognition Using a Nose Volume and Curvature Based Eigenface -- Surface Reconstruction for Efficient Colon Unfolding -- Spectral Sequencing Based on Graph Distance -- An Efficient Implementation of RBF-Based Progressive Point-Sampled Geometry -- Segmentation of Scanned Mesh into Analytic Surfaces Based on Robust Curvature Estimation and Region Growing -- Finding Mold-Piece Regions Using Computer Graphics Hardware -- A Method for FEA-Based Design of Heterogeneous Objects -- Time-Varying Volume Geometry Compression with 4D Lifting Wavelet Transform -- A Surface Displaced from a Manifold -- Smoothing of Meshes and Point Clouds Using Weighted Geometry-Aware Bases. |
| Altri titoli varianti | GMP 2006 |
| Record Nr. | UNINA-9910484564203321 |
| Berlin ; ; New York, : Springer, c2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Geometric Modeling and Processing - GMP 2006 [[electronic resource] ] : 4th International Conference, GMP 2006, Pittsburgh, PA, USA, July 26-28, 2006, Proceedings / / edited by Myung-Soo Kim, Kenji Shimada
| Geometric Modeling and Processing - GMP 2006 [[electronic resource] ] : 4th International Conference, GMP 2006, Pittsburgh, PA, USA, July 26-28, 2006, Proceedings / / edited by Myung-Soo Kim, Kenji Shimada |
| Edizione | [1st ed. 2006.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2006 |
| Descrizione fisica | 1 online resource (XVI, 704 p.) |
| Disciplina | 516.00285 |
| Collana | Theoretical Computer Science and General Issues |
| Soggetto topico |
Image processing—Digital techniques
Computer vision Computer graphics Computer simulation Machine theory Pattern recognition systems Computer science—Mathematics Discrete mathematics Computer Imaging, Vision, Pattern Recognition and Graphics Computer Graphics Computer Modelling Formal Languages and Automata Theory Automated Pattern Recognition Discrete Mathematics in Computer Science |
| ISBN | 3-540-36865-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Shape Reconstruction -- Automatic Extraction of Surface Structures in Digital Shape Reconstruction -- Ensembles for Normal and Surface Reconstructions -- Adaptive Fourier-Based Surface Reconstruction -- Curves and Surfaces I -- Least–Squares Approximation by Pythagorean Hodograph Spline Curves Via an Evolution Process -- Geometric Accuracy Analysis for Discrete Surface Approximation -- Quadric Surface Extraction by Variational Shape Approximation -- Geometric Processing I -- Tracking Point-Curve Critical Distances -- Theoretically Based Robust Algorithms for Tracking Intersection Curves of Two Deforming Parametric Surfaces -- Subdivision Termination Criteria in Subdivision Multivariate Solvers -- Towards Unsupervised Segmentation of Semi-rigid Low-Resolution Molecular Surfaces -- Curves and Surfaces II -- Piecewise Developable Surface Approximation of General NURBS Surfaces, with Global Error Bounds -- Efficient Piecewise Linear Approximation of Bézier Curves with Improved Sharp Error Bound -- Approximate ?-Bases of Rational Curves and Surfaces -- Shape Deformation -- Inverse Adaptation of Hex-dominant Mesh for Large Deformation Finite Element Analysis -- Preserving Form-Features in Interactive Mesh Deformation -- Surface Creation and Curve Deformations Between Two Complex Closed Spatial Spline Curves -- Shape Description -- Computing a Family of Skeletons of Volumetric Models for Shape Description -- Representing Topological Structures Using Cell-Chains -- Constructing Regularity Feature Trees for Solid Models -- Insight for Practical Subdivision Modeling with Discrete Gauss-Bonnet Theorem -- Shape Recognition -- Shape-Based Retrieval of Articulated 3D Models Using Spectral Embedding -- Separated Medial Surface Extraction from CT Data of Machine Parts -- Two-Dimensional Selections for Feature-Based Data Exchange -- Geometric Modeling -- Geometric Modeling of Nano Structures with Periodic Surfaces -- Minimal Mean-Curvature-Variation Surfaces and Their Applications in Surface Modeling -- Parametric Design Method for Shapes with Aesthetic Free-Form Surfaces -- Curves and Surfaces III -- Control Point Removal Algorithm for T-Spline Surfaces -- Shape Representations with Blossoms and Buds -- Manifold T-Spline -- Subdivision Surfaces -- Composite Subdivision Surfaces -- Tuned Ternary Quad Subdivision -- Geometric Processing II -- Simultaneous Precise Solutions to the Visibility Problem of Sculptured Models -- Density-Controlled Sampling of Parametric Surfaces Using Adaptive Space-Filling Curves -- Engineering Applications -- Verification of Engineering Models Based on Bipartite Graph Matching for Inspection Applications -- A Step Towards Automated Design of Side Actions in Injection Molding of Complex Parts -- Finding All Undercut-Free Parting Directions for Extrusions -- Short Papers -- Robust Three-Dimensional Registration of Range Images Using a New Genetic Algorithm -- Geometrical Mesh Improvement Properties of Delaunay Terminal Edge Refinement -- Matrix Based Subdivision Depth Computation for Extra-Ordinary Catmull-Clark Subdivision Surface Patches -- Hierarchically Partitioned Implicit Surfaces for Interpolating Large Point Set Models -- A New Class of Non-stationary Interpolatory Subdivision Schemes Based on Exponential Polynomials -- Detection of Closed Sharp Feature Lines in Point Clouds for Reverse Engineering Applications -- Feature Detection Using Curvature Maps and the Min-cut/Max-flow Algorithm -- Computation of Normals for Stationary Subdivision Surfaces -- Voxelization of Free-Form Solids Represented by Catmull-Clark Subdivision Surfaces -- Interactive Face-Replacements for Modeling Detailed Shapes -- Straightest Paths on Meshes by Cutting Planes -- 3D Facial Image Recognition Using a Nose Volume and Curvature Based Eigenface -- Surface Reconstruction for Efficient Colon Unfolding -- Spectral Sequencing Based on Graph Distance -- An Efficient Implementation of RBF-Based Progressive Point-Sampled Geometry -- Segmentation of Scanned Mesh into Analytic Surfaces Based on Robust Curvature Estimation and Region Growing -- Finding Mold-Piece Regions Using Computer Graphics Hardware -- A Method for FEA-Based Design of Heterogeneous Objects -- Time-Varying Volume Geometry Compression with 4D Lifting Wavelet Transform -- A Surface Displaced from a Manifold -- Smoothing of Meshes and Point Clouds Using Weighted Geometry-Aware Bases. |
| Record Nr. | UNISA-996465598603316 |
| Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Handbook of computer aided geometric design [[electronic resource] /] / edited by Gerald Farin, Josef Hoschek, Myung-Soo Kim
| Handbook of computer aided geometric design [[electronic resource] /] / edited by Gerald Farin, Josef Hoschek, Myung-Soo Kim |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Amsterdam ; ; Boston, Mass., : Elsevier, 2002 |
| Descrizione fisica | 1 online resource (849 p.) |
| Disciplina | 006.6 |
| Altri autori (Persone) |
FarinGerald E
HoschekJosef KimMyung-Soo |
| Soggetto topico |
Computer graphics
Computer-aided design |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-03630-7
9786611036300 0-08-053340-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Front Cover; Handbook of Computer Aided Geometric Design; Copyright Page; Preface; Contents; Contributors; Chapter 1. A History of Curves and Surfaces in CAGD; 1.1. INTRODUCTION; 1.2. EARLY DEVELOPMENTS; 1.3. DE CASTELJAU AND BÉZIER; 1.4. PARAMETRIC CURVES; 1.5. RECTANGULAR SURFACES; 1.6. B-SPLINE CURVES AND NURBS; 1.7. TRIANGULAR PATCHES; 1.8. SUBDIVISION SURFACES; 1.9. SCIENTIFIC APPLICATIONS; 1.10. SHAPE; 1.11. INFLUENCES AND APPLICATIONS; Chapter 2. Geometric Fundamentals; 2.1. AFFINE FUNDAMENTALS; 2.2. CONIC SECTIONS AND QUADRICS; 2.3. THE EUCLIDEAN SPACE; 2.4. PROJECTIVE FUNDAMENTALS
2.5. DUALITY2.6. OSCULATING CURVES AND SURFACES; 2.7. DIFFERENTIAL FUNDAMENTALS; Chapter 3. Geometries for CAGD; 3.1. CURVES AND SURFACES IN PROJECTIVE GEOMETRY; 3.2. SPHERE GEOMETRIES; 3.3. LINE GEOMETRY; 3.4. APPROXIMATION IN SPACES OF GEOMETRIC OBJECTS; 3.5. NON-EUCLIDEAN GEOMETRIES; Chapter 4. Bézier Techniques; 4.1. WHY BÉZIER TECHNIQUES?; 4.2. BÉZIER CURVES; 4.3. RECTANGULAR BÉZIER PATCHES; 4.4. TRIANGULAR BÉZIER PATCHES; Chapter 5. Rational Techniques; 5.1. INTRODUCTION; 5.2. RATIONAL BÉZIER CURVES; 5.3. RATIONAL B-SPLINE CURVES; 5.4. GEOMETRIC CONTINUITY FOR RATIONAL CURVES 5.5. RATIONAL CURVE APPROXIMATION AND INTERPOLATION5.6. RATIONAL BÉZIER SURFACES; 5.7. RATIONAL B-SPLINE SURFACES; 5.8. GEOMETRIC CONTINUITY FOR RATIONAL PATCHES; 5.9. INTERPOLATION AND APPROXIMATION ALGORITHMS; 5.10. RATIONAL SURFACE CONSTRUCTIONS; 5.11. CONCLUDING REMARKS; Chapter 6. Spline Basics; 6.1. PIECEWISE POLYNOMIALS; 6.2. B-SPLINES DEFINED; 6.3. SUPPORT AND POSITIVITY; 6.4. SPLINE SPACES DEFINED; 6.5. SPECIFIC KNOT SEQUENCES; 6.6. THE POLYNOMIALS IN THE SPLINE SPACE: MARSDEN'S IDENTITY; 6.7. THE PIECEWISE POLYNOMIALS IN THE SPLINE SPACE; 6.8. DUAL FUNCTIONALS AND BLOSSOMS 6.9. GOOD CONDITION6.10. CONVEX HULL; 6.11. DIFFERENTIATION AND INTEGRATION; 6.12. EVALUATION; 6.13. SPLINE FUNCTIONS VS SPLINE CURVES; 6.14. KNOT INSERTION; 6.15. VARIATION DIMINUTION AND SHAPE PRESERVATION: SCHOENBERG'S OPERATOR; 6.16. ZEROS OF A SPLINE, COUNTING MULTIPLICITY; 6.17. SPLINE INTERPOLATION: SCHOENBERG-WHITNEY; 6.18. SMOOTHING SPLINE; 6.19. LEAST-SQUARES SPLINE APPROXIMATION; 6.20. BACKGROUND; Chapter 7. Curve and Surface Constructions; 7.1. INTRODUCTION; 7.2. POLYNOMIAL CURVE METHODS; 7.3. C2 CUBIC SPLINE INTERPOLATION; 7.4. POLYNOMIAL SURFACE METHODS 7.5. C2 BICUBIC SPLINE INTERPOLATION7.6. VOLUME DEFORMATIONS; Chapter 8. Geometric Continuity; 8.1. MOTIVATING EXAMPLES; 8.2. GEOMETRIC CONTINUITY OF PARAMETRIC CURVES/SURFACES; 8.3. EQUIVALENT AND ALTERNATIVE DEFINITIONS; 8.4. CONSTRUCTIONS; 8.5. ADDITIONAL LITERATURE; Chapter 9. Splines on Surfaces; 9.1. INTRODUCTION; 9.2. SCALAR SPLINES ON SMOOTH SURFACES; 9.3. ALTERNATIVE METHODS FOR FUNCTIONS ON SURFACES; Chapter 10. Box Splines; 10.1. BOX SPLINES; 10.2. BOX SPLINE SURFACES; 10.3. HALF-BOX SPLINES; 10.4. HALF-BOX SPLINE SURFACES; Chapter 11. Finite Element Approximation with Splines 11.1. INTRODUCTION |
| Record Nr. | UNINA-9910457448703321 |
| Amsterdam ; ; Boston, Mass., : Elsevier, 2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Handbook of computer aided geometric design [[electronic resource] /] / edited by Gerald Farin, Josef Hoschek, Myung-Soo Kim
| Handbook of computer aided geometric design [[electronic resource] /] / edited by Gerald Farin, Josef Hoschek, Myung-Soo Kim |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Amsterdam ; ; Boston, Mass., : Elsevier, 2002 |
| Descrizione fisica | 1 online resource (849 p.) |
| Disciplina | 006.6 |
| Altri autori (Persone) |
FarinGerald E
HoschekJosef KimMyung-Soo |
| Soggetto topico |
Computer graphics
Computer-aided design |
| ISBN |
1-281-03630-7
9786611036300 0-08-053340-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Front Cover; Handbook of Computer Aided Geometric Design; Copyright Page; Preface; Contents; Contributors; Chapter 1. A History of Curves and Surfaces in CAGD; 1.1. INTRODUCTION; 1.2. EARLY DEVELOPMENTS; 1.3. DE CASTELJAU AND BÉZIER; 1.4. PARAMETRIC CURVES; 1.5. RECTANGULAR SURFACES; 1.6. B-SPLINE CURVES AND NURBS; 1.7. TRIANGULAR PATCHES; 1.8. SUBDIVISION SURFACES; 1.9. SCIENTIFIC APPLICATIONS; 1.10. SHAPE; 1.11. INFLUENCES AND APPLICATIONS; Chapter 2. Geometric Fundamentals; 2.1. AFFINE FUNDAMENTALS; 2.2. CONIC SECTIONS AND QUADRICS; 2.3. THE EUCLIDEAN SPACE; 2.4. PROJECTIVE FUNDAMENTALS
2.5. DUALITY2.6. OSCULATING CURVES AND SURFACES; 2.7. DIFFERENTIAL FUNDAMENTALS; Chapter 3. Geometries for CAGD; 3.1. CURVES AND SURFACES IN PROJECTIVE GEOMETRY; 3.2. SPHERE GEOMETRIES; 3.3. LINE GEOMETRY; 3.4. APPROXIMATION IN SPACES OF GEOMETRIC OBJECTS; 3.5. NON-EUCLIDEAN GEOMETRIES; Chapter 4. Bézier Techniques; 4.1. WHY BÉZIER TECHNIQUES?; 4.2. BÉZIER CURVES; 4.3. RECTANGULAR BÉZIER PATCHES; 4.4. TRIANGULAR BÉZIER PATCHES; Chapter 5. Rational Techniques; 5.1. INTRODUCTION; 5.2. RATIONAL BÉZIER CURVES; 5.3. RATIONAL B-SPLINE CURVES; 5.4. GEOMETRIC CONTINUITY FOR RATIONAL CURVES 5.5. RATIONAL CURVE APPROXIMATION AND INTERPOLATION5.6. RATIONAL BÉZIER SURFACES; 5.7. RATIONAL B-SPLINE SURFACES; 5.8. GEOMETRIC CONTINUITY FOR RATIONAL PATCHES; 5.9. INTERPOLATION AND APPROXIMATION ALGORITHMS; 5.10. RATIONAL SURFACE CONSTRUCTIONS; 5.11. CONCLUDING REMARKS; Chapter 6. Spline Basics; 6.1. PIECEWISE POLYNOMIALS; 6.2. B-SPLINES DEFINED; 6.3. SUPPORT AND POSITIVITY; 6.4. SPLINE SPACES DEFINED; 6.5. SPECIFIC KNOT SEQUENCES; 6.6. THE POLYNOMIALS IN THE SPLINE SPACE: MARSDEN'S IDENTITY; 6.7. THE PIECEWISE POLYNOMIALS IN THE SPLINE SPACE; 6.8. DUAL FUNCTIONALS AND BLOSSOMS 6.9. GOOD CONDITION6.10. CONVEX HULL; 6.11. DIFFERENTIATION AND INTEGRATION; 6.12. EVALUATION; 6.13. SPLINE FUNCTIONS VS SPLINE CURVES; 6.14. KNOT INSERTION; 6.15. VARIATION DIMINUTION AND SHAPE PRESERVATION: SCHOENBERG'S OPERATOR; 6.16. ZEROS OF A SPLINE, COUNTING MULTIPLICITY; 6.17. SPLINE INTERPOLATION: SCHOENBERG-WHITNEY; 6.18. SMOOTHING SPLINE; 6.19. LEAST-SQUARES SPLINE APPROXIMATION; 6.20. BACKGROUND; Chapter 7. Curve and Surface Constructions; 7.1. INTRODUCTION; 7.2. POLYNOMIAL CURVE METHODS; 7.3. C2 CUBIC SPLINE INTERPOLATION; 7.4. POLYNOMIAL SURFACE METHODS 7.5. C2 BICUBIC SPLINE INTERPOLATION7.6. VOLUME DEFORMATIONS; Chapter 8. Geometric Continuity; 8.1. MOTIVATING EXAMPLES; 8.2. GEOMETRIC CONTINUITY OF PARAMETRIC CURVES/SURFACES; 8.3. EQUIVALENT AND ALTERNATIVE DEFINITIONS; 8.4. CONSTRUCTIONS; 8.5. ADDITIONAL LITERATURE; Chapter 9. Splines on Surfaces; 9.1. INTRODUCTION; 9.2. SCALAR SPLINES ON SMOOTH SURFACES; 9.3. ALTERNATIVE METHODS FOR FUNCTIONS ON SURFACES; Chapter 10. Box Splines; 10.1. BOX SPLINES; 10.2. BOX SPLINE SURFACES; 10.3. HALF-BOX SPLINES; 10.4. HALF-BOX SPLINE SURFACES; Chapter 11. Finite Element Approximation with Splines 11.1. INTRODUCTION |
| Record Nr. | UNINA-9910784594503321 |
| Amsterdam ; ; Boston, Mass., : Elsevier, 2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Handbook of computer aided geometric design / / edited by Gerald Farin, Josef Hoschek, Myung-Soo Kim
| Handbook of computer aided geometric design / / edited by Gerald Farin, Josef Hoschek, Myung-Soo Kim |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Amsterdam ; ; Boston, Mass., : Elsevier, 2002 |
| Descrizione fisica | 1 online resource (849 p.) |
| Disciplina | 006.6 |
| Altri autori (Persone) |
FarinGerald E
HoschekJosef KimMyung-Soo |
| Soggetto topico |
Computer graphics
Computer-aided design |
| ISBN |
1-281-03630-7
9786611036300 0-08-053340-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Front Cover; Handbook of Computer Aided Geometric Design; Copyright Page; Preface; Contents; Contributors; Chapter 1. A History of Curves and Surfaces in CAGD; 1.1. INTRODUCTION; 1.2. EARLY DEVELOPMENTS; 1.3. DE CASTELJAU AND BÉZIER; 1.4. PARAMETRIC CURVES; 1.5. RECTANGULAR SURFACES; 1.6. B-SPLINE CURVES AND NURBS; 1.7. TRIANGULAR PATCHES; 1.8. SUBDIVISION SURFACES; 1.9. SCIENTIFIC APPLICATIONS; 1.10. SHAPE; 1.11. INFLUENCES AND APPLICATIONS; Chapter 2. Geometric Fundamentals; 2.1. AFFINE FUNDAMENTALS; 2.2. CONIC SECTIONS AND QUADRICS; 2.3. THE EUCLIDEAN SPACE; 2.4. PROJECTIVE FUNDAMENTALS
2.5. DUALITY2.6. OSCULATING CURVES AND SURFACES; 2.7. DIFFERENTIAL FUNDAMENTALS; Chapter 3. Geometries for CAGD; 3.1. CURVES AND SURFACES IN PROJECTIVE GEOMETRY; 3.2. SPHERE GEOMETRIES; 3.3. LINE GEOMETRY; 3.4. APPROXIMATION IN SPACES OF GEOMETRIC OBJECTS; 3.5. NON-EUCLIDEAN GEOMETRIES; Chapter 4. Bézier Techniques; 4.1. WHY BÉZIER TECHNIQUES?; 4.2. BÉZIER CURVES; 4.3. RECTANGULAR BÉZIER PATCHES; 4.4. TRIANGULAR BÉZIER PATCHES; Chapter 5. Rational Techniques; 5.1. INTRODUCTION; 5.2. RATIONAL BÉZIER CURVES; 5.3. RATIONAL B-SPLINE CURVES; 5.4. GEOMETRIC CONTINUITY FOR RATIONAL CURVES 5.5. RATIONAL CURVE APPROXIMATION AND INTERPOLATION5.6. RATIONAL BÉZIER SURFACES; 5.7. RATIONAL B-SPLINE SURFACES; 5.8. GEOMETRIC CONTINUITY FOR RATIONAL PATCHES; 5.9. INTERPOLATION AND APPROXIMATION ALGORITHMS; 5.10. RATIONAL SURFACE CONSTRUCTIONS; 5.11. CONCLUDING REMARKS; Chapter 6. Spline Basics; 6.1. PIECEWISE POLYNOMIALS; 6.2. B-SPLINES DEFINED; 6.3. SUPPORT AND POSITIVITY; 6.4. SPLINE SPACES DEFINED; 6.5. SPECIFIC KNOT SEQUENCES; 6.6. THE POLYNOMIALS IN THE SPLINE SPACE: MARSDEN'S IDENTITY; 6.7. THE PIECEWISE POLYNOMIALS IN THE SPLINE SPACE; 6.8. DUAL FUNCTIONALS AND BLOSSOMS 6.9. GOOD CONDITION6.10. CONVEX HULL; 6.11. DIFFERENTIATION AND INTEGRATION; 6.12. EVALUATION; 6.13. SPLINE FUNCTIONS VS SPLINE CURVES; 6.14. KNOT INSERTION; 6.15. VARIATION DIMINUTION AND SHAPE PRESERVATION: SCHOENBERG'S OPERATOR; 6.16. ZEROS OF A SPLINE, COUNTING MULTIPLICITY; 6.17. SPLINE INTERPOLATION: SCHOENBERG-WHITNEY; 6.18. SMOOTHING SPLINE; 6.19. LEAST-SQUARES SPLINE APPROXIMATION; 6.20. BACKGROUND; Chapter 7. Curve and Surface Constructions; 7.1. INTRODUCTION; 7.2. POLYNOMIAL CURVE METHODS; 7.3. C2 CUBIC SPLINE INTERPOLATION; 7.4. POLYNOMIAL SURFACE METHODS 7.5. C2 BICUBIC SPLINE INTERPOLATION7.6. VOLUME DEFORMATIONS; Chapter 8. Geometric Continuity; 8.1. MOTIVATING EXAMPLES; 8.2. GEOMETRIC CONTINUITY OF PARAMETRIC CURVES/SURFACES; 8.3. EQUIVALENT AND ALTERNATIVE DEFINITIONS; 8.4. CONSTRUCTIONS; 8.5. ADDITIONAL LITERATURE; Chapter 9. Splines on Surfaces; 9.1. INTRODUCTION; 9.2. SCALAR SPLINES ON SMOOTH SURFACES; 9.3. ALTERNATIVE METHODS FOR FUNCTIONS ON SURFACES; Chapter 10. Box Splines; 10.1. BOX SPLINES; 10.2. BOX SPLINE SURFACES; 10.3. HALF-BOX SPLINES; 10.4. HALF-BOX SPLINE SURFACES; Chapter 11. Finite Element Approximation with Splines 11.1. INTRODUCTION |
| Record Nr. | UNINA-9910953570703321 |
| Amsterdam ; ; Boston, Mass., : Elsevier, 2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
SMI 2003 : Shape modeling international 2003 : proceedings : 12-15 May, 2003, Seoul, Korea
| SMI 2003 : Shape modeling international 2003 : proceedings : 12-15 May, 2003, Seoul, Korea |
| Pubbl/distr/stampa | [Place of publication not identified], : IEEE Computer Society Press, 2003 |
| Disciplina | 006.6 |
| Soggetto topico |
Computer graphics
Computer-aided design Engineering models Technology - General Engineering & Applied Sciences |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISA-996210755503316 |
| [Place of publication not identified], : IEEE Computer Society Press, 2003 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
SMI 2003 : Shape modeling international 2003 : proceedings : 12-15 May, 2003, Seoul, Korea
| SMI 2003 : Shape modeling international 2003 : proceedings : 12-15 May, 2003, Seoul, Korea |
| Pubbl/distr/stampa | [Place of publication not identified], : IEEE Computer Society Press, 2003 |
| Disciplina | 006.6 |
| Soggetto topico |
Computer graphics
Computer-aided design Engineering models Technology - General Engineering & Applied Sciences |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910872461103321 |
| [Place of publication not identified], : IEEE Computer Society Press, 2003 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||