Curves and Surfaces for CAGD: A Practical Guide

This fifth edition has been fully updated to cover the many advances made in CAGD and curve and surface theory since 1997, when the fourth edition appeared. Material has been restructured into theory and applications chapters. The theory material has been streamlined using the blossoming approach; the applications material includes least squares techniques in addition to the traditional interpolation methods. In all other respects, it is, thankfully, the same. This means you get the informal, friendly style and unique approach that has made Curves and Surfaces for CAGD: A Practical Guide a true classic.

The book's unified treatment of all significant methods of curve and surface design is heavily focused on the movement from theory to application. The author provides complete C implementations of many of the theories he discusses, ranging from the traditional to the leading-edge. You'll gain a deep, practical understanding of their advantages, disadvantages, and interrelationships, and in the process you'll see why this book has emerged as a proven resource for thousands of other professionals and academics.

Provides authoritative and accessible information for those working with or developing computer-aided geometric design applications.Covers all significant CAGD curve and surface design techniques-from the traditional to the experimental.Includes a new chapter on recursive subdivision and triangular meshes.Presents topical programming exercises useful to professionals and students alike.

1. P. Béezier: How a Simple System Was Born  2. Introductory Material 3. Linear Interpolation 4. The de Casteljau Algorithm  5. The Bernstein Form of a Béezier Curve 6. Béezier Curve Topics 7. Polynomial Curve Constructions 8. B-Spline Curves 9. Constructing Spline Curves 10. W. Boehm: Differential Geometry I 11. Geometric Continuity  12. ConicSections 13. Rational Béezier and B-Spline Curves  14. Tensor Product Patches 15. Constructing Polynomial Patches 16. Composite Surfaces 17. Béezier Triangles 18. Practical Aspects of Béezier Triangles 19. W. Boehm: Differential Geometry II 20. GeometricContinuityforSurfaces  21. Surfaces with Arbitrary Topology 22. Coons Patches 23. Shape 24. Evaluation of Some Methods

Appendix A. Quick Reference of Curve and Surface Terms B. List of Programs C. Notation