Curves and Surfaces for Cagd: A Practical Guide

ISBN-13: 9781558607378 / Angielski / Twarda / 2001 / 520 str.

Gerald Farin

Opis

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.

Spis treści

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

O autorze

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.