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

by Gerald Farin

Overview

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.

Product Details

ISBN-13:	9781568810843
Publisher:	Taylor & Francis
Publication date:	03/02/1999
Edition description:	REVISED
Pages:	284
Product dimensions:	6.00(w) x 9.00(h) x (d)

About the Author

Gerald Farin

Table 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

Editorial Reviews

Explains how to use the curved Non-Uniform Rational B-Splines instead of millions of triangles to create computer graphics in applications from designing toy cars to making movie special effects. Revised from the 1995 with new research results and a chapter on Pythagorean curves, which shows promise in machining and robot motion control. Derived from material used in a one-semesters beginning graduate course requiring linear algebra, calculus, and some basic computer graphics. Annotation c. by Book News, Inc., Portland, Or.

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