NURBS for Curve & Surface Design - From Projective Geometry to Practical Use

Non-Uniform Rational B-Splines have become the de facto standard in CAD/CAM and computer graphics. This well-known book covers NURBS from their geometric beginnings to their industrial applications. The second edition incorporates new results and a chapter on Pythagorean curves, a development that shows promise in applications such as NC machining or robot motion control. Includes more than fifty new figures.

List of contents

Preface, 1. The Projective Plane, 2. Projective Maps, 3. Conics, 4. Conics in Param etric Form, 6. Conic Splines, 7. Rational Bezier curves, 8. Rational Cubics, 9. NURBS, 10. Pythagorean Curves, 11. Rectangular Patches, 12. Rational Bezier Triangles, 13. Quadrics, 14. Gregory Patches, 15. Examples and standards, 16. Notation, Bibliography, Index

About the author

Prof. Dr. Gerald Farin ist Professor am Computer Department der Arizona State University in Tempe/ Arizona (USA) und verfügt über reiche Erfahrungen aus der industriellen Anwendung des CAGD.

Summary

Non-Uniform Rational B-Splines have become the de facto standard in CAD/CAM and computer graphics

Product details

• Authors: Gerald Farin, Gerald E. Farin
• Publisher: Peters, Wellesley
• Languages: English
• Product format: Hardback
• Released: 01.01.1999
• EAN: 9781568810843
• ISBN: 978-1-56881-084-3
• No. of pages: 284
• Weight: 546 g
• Illustrations: w. figs.
• Subjects: Natural sciences, medicine, IT, technology > Technology > Mechanical engineering, production engineering; MATHEMATICS / Probability & Statistics / General, MATHEMATICS / Geometry / General, geometry, Probability & statistics, Graphical & digital media applications, Probability and statistics, Graphical and digital media applications, COMPUTERS / Design, Graphics & Media / Graphics Tools