Table of Contents

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 Curves9. 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

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

Promotional Information

* 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.
* Offers complete C implementations of many of the book's examples via a companion Web site.

About the Author

Professor Gerald Farin currently teaches in the computer science and engineering department at Arizona State University. He received his doctoral degree in mathematics from the University of Braunschweig, Germany, in 1979. His extensive CAGD experience includes working as a research mathematician in a computer-aided development for Daimler-Benz, serving on the executive committee of the ASU PRISM project, and speaking at a multitude of symposia and conferences. Farin has authored and edited several books and papers, and he is editor-in-chief of Computer Aided Geometric Design.