Elaine Cohen, Richard F. Riesenfeld, Gershon Elber

Geometric Modeling with Splines (eBook, PDF)

An Introduction

• Format: PDF

Produktbeschreibung

Written by researchers who have helped found and shape the field, this book is a definitive introduction to geometric modeling. The authors present all of the necessary techniques for curve and surface representations in computer-aided modeling with a focus on how the techniques are used in design. They achieve a balance between mathematical rigor

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 638
• Erscheinungstermin: 18. Juli 2001
• Englisch
• ISBN-13: 9781439864203
• Artikelnr.: 57720352

Autorenporträt

Elaine Cohen, Richard F. Riesenfeld, Gershon Elber

Inhaltsangabe

Part I: Introduction 1. Review of Basic Concepts Part II: Curves 2. Representation Issues 3. Conic Sections 4. Differential Geometry for Space Curves 5. Bezier Curves and Bernstein Approximation 6. B-Spline Curves 7. Linear Spaces of B-Splines 8. Choosing a B-Spline Space 9. Data Fitting with B-Splines 10. Other Polynomial Bases for Interpolation 11. Other Derivations of B-Splines Part III: Surfaces 12. Differential Geometry for Surfaces 13. Surface Representations 14. Fitting Surfaces 15. Modeling with B-Spline Surfaces Part IV: Advanced Techniques 16. Subdivision and Refinement for Splines 17. Subdivision and Refinement in Modeling 18. Set Operations to Effect Modeling 19. Model Data Structures 20. Subdivision Surfaces 21. Higher-Dimensional Tensor Product B-Splines