Geometric Modeling With Splines - An Introduction

Informationen zum Autor Elaine Cohen, Richard F. Riesenfeld, Gershon Elber Klappentext This text provides an introduction to geometric modelling. The authors present a broad base of fundamentally important techniques for curve and surface representations in computer-aided modelling with a focus on how the techniques can be used in design. Zusammenfassung This book contains a comprehensive treatment of curves and surfaces with emphasis on B-spline techniques. It provides a wealth of material ranging from classical techniques to a broad coverage of new techniques, suitable for implementing splines and for designing with splines. Inhaltsverzeichnis 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

Product details

• Authors: Elaine Cohen, Elaine Riesenfeld Cohen, Gershon Elber, Elber Gershon, Richard F. Riesenfeld, Riesenfeld Richard F.
• Publisher: Peters A K
• Languages: English
• Product format: Hardback
• Released: 01.07.2001
• EAN: 9781568811376
• ISBN: 978-1-56881-137-6
• No. of pages: 616
• Subjects: Natural sciences, medicine, IT, technology > IT, data processing > Application software; MATHEMATICS / Geometry / Analytic, Analytic geometry, Graphical & digital media applications, Graphical and digital media applications, COMPUTERS / Design, Graphics & Media / Graphics Tools