Geometric Modeling with Splines - Elaine Cohen, Richard F. Riesenfeld, Gershon Elber

Geometric Modeling with Splines

An Introduction
Buch | Hardcover
638 Seiten
2001
A K Peters (Verlag)
978-1-56881-137-6 (ISBN)
218,20 inkl. MwSt
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.
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 and broad applicability. Appropriate for readers with a moderate degree of mathematical maturity, this book is suitable as an undergraduate or graduate text, or particularly as a resource for self-study.

Elaine Cohen, Richard F. Riesenfeld, Gershon Elber

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

Erscheint lt. Verlag 18.7.2001
Verlagsort Natick
Sprache englisch
Maße 152 x 229 mm
Gewicht 1156 g
Themenwelt Mathematik / Informatik Informatik Grafik / Design
Mathematik / Informatik Mathematik Geometrie / Topologie
ISBN-10 1-56881-137-3 / 1568811373
ISBN-13 978-1-56881-137-6 / 9781568811376
Zustand Neuware
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