
- 473 pages
- English
- PDF
- Available on iOS & Android
About this book
A leading expert in CAGD, Gerald Farin covers the representation, manipulation, and evaluation of geometric shapes in this the Third Edition of Curves and Surfaces for Computer Aided Geometric Design. The book offers an introduction to the field that emphasizes Bernstein-Bezier methods and presents subjects in an informal, readable style, making this an ideal text for an introductory course at the advanced undergraduate or graduate level.The Third Edition includes a new chapter on Topology, offers new exercises and sections within most chapters, combines the material on Geometric Continuity into one chapter, and updates existing materials and references. Implementation techniques are addressed for practitioners by the inclusion of new C programs for many of the fundamental algorithms. The C programs are available on a disk included with the text. System Requirements: IBM PC or compatibles, DOS version 2.0 or higher.- Covers representation, manipulation, and evaluation of geometric shapes- Emphasizes Bernstein-Bezier methods- Written in an informal, easy-to-read style
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Information
Table of contents
- Front Cover
- Curves and Surfaces for Computer Aided Geometric Design: A Practical Guide
- Copyright Page
- Table of Contents
- Preface
- Chapter 1. P. Bézier: How a Simple System Was Born
- Chapter 2. Introductory Material
- Chapter 3. The de Casteljau Algorithm
- Chapter 4. The Bernstein Form of a Bézier Curve
- Chapter 5. Bézier Curve Topics
- Chapter 6. Polynomial Interpolation
- Chapter 7. Spline Curves in Bézier Form
- Chapter 8. Piecewise Cubic Interpolation
- Chapter 9. Cubic Spline Interpolation
- Chapter 10. B-splines
- Chapter 11. W. Boehm: Differential Geometry I
- Chapter 12. Geometric Continuity I
- Chapter 13. Geometric Continuity II
- Chapter 14. Conic Sections
- Chapter 15. Rational Bézier and B-spline Curves
- Chapter 16. Tensor Product Bézier Surfaces
- Chapter 17. Composite Surfaces and Spline Interpolation
- Chapter 18. Bézier Triangles
- Chapter 19. Geometric Continuity for Surfaces
- Chapter 20. Coons Patches
- Chapter 21. Coons Patches: Additional Material
- Chapter 22. W. Boehm: Differential Geometry II
- Chapter 23. Interrogation and Smoothing
- Chapter 24. Evaluation of Some Methods
- Chapter 25. Quick Reference of Curve and Surface Terms
- Appendix 1: List of Programs
- Appendix 2: Notation
- Bibliography
- Index