NURBS for Curve & Surface Design: From Projective Geometry to Practical Use / Edition 2

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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.

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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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Product Details

  • ISBN-13: 9781568810843
  • Publisher: Taylor & Francis
  • Publication date: 3/2/1999
  • Edition description: REVISED
  • Edition number: 2
  • Pages: 282

Table of Contents

1 The Projective Plane 1
2 Projective Maps 27
3 Conics 43
4 Conics in Parametric Form 59
5 Rational Quadratic Conics 81
6 Conic Splines 93
7 Rational Bezier curves 107
8 Rational Cubics 139
9 NURBS 153
10 Pythagorean Curves 169
11 Rectangular Patches 181
12 Rational Bezier Triangles 207
13 Quadrics 219
14 Gregory Patches 233
15 Examples and standards 241
16 Notation 251
Bibliography 253
Index 263
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