Geometric Modeling with Splines

An Introduction

Elaine Cohen, Richard F. Riesenfeld, Gershon Elber

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English

CRC Press
02 December 2019

Geometry; Applied mathematics; Computing: general; Computer science

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.

By: Elaine Cohen, Richard F. Riesenfeld, Gershon Elber
Imprint: CRC Press
Country of Publication: United Kingdom
Dimensions: Height: 229mm, Width: 152mm,
Weight: 453g
ISBN: 9780367447243
ISBN 10: 036744724X
Pages: 638
Publication Date: 02 December 2019
Audience: College/higher education , General/trade , Primary , ELT Advanced
Format: Paperback
Publisher's Status: Active

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

Elaine Cohen, Richard F. Riesenfeld, Gershon Elber