ABSTRACT

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

chapter 1|26 pages

The Projective Plane

chapter 2|16 pages

Projective Maps

chapter 3|16 pages

Conics

chapter 4|22 pages

Conics in Parametric Form

chapter 5|12 pages

Rational Quadratic Conics

chapter 6|14 pages

Conic Splines

chapter 7|32 pages

Rational Bezier curves

chapter 8|14 pages

Rational Cubics

chapter 9|16 pages

NURBS

chapter 10|12 pages

Pythagorean Curves

chapter 11|26 pages

Rectangular Patches

chapter 12|12 pages

Rational Bezier Triangles

chapter 13|14 pages

Quadrics

chapter 14|8 pages

Gregory Patches

chapter 15|10 pages

Examples and standards

chapter 16|2 pages

Notation