Geometric Modeling with Splines
A K Peters (Verlag)
978-1-56881-137-6 (ISBN)
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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