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31. NURBS (Non-Uniform Rational B-Splines): A Primer
Tuesday, Half Day, 8:30 am - 12:15 pm
Room 15 A-B
Level: Intermediate

An engineering approach (just enough mathematics to get the job done) to a working knowledge of the underlying mathematics of NURBS. The emphasis is on understanding the effects that the underlying mathematics have on the shape and characteristics of NURBS curves and surfaces.

Prerequisites
College algebra and plane geometry are useful. Some programming experience or experience in using Bézier, B-Spline or NURBS packages is useful.

Topics
The genesis of NURBS (Bézier and nonrational B-spline curves and surfaces lead to a discussion of NURBS, including knot vectors, basis functions, homogeneous weighting functions, and their effects on NURBS curves and surfaces). Degree elevation and reduction, knot removal, and subdivision.

Organizer and Lecturer
David F. Rogers
NAR Associates

Schedule

8:30 Bézier and B-Spline Curves
Rogers
9:30 Advanced B-Spline Curves
Rogers
10:15 Break
10:30 Bézier and B-Spline Surfaces
Rogers
11:35 Rational B-Spline Surfaces
(NURBS)
Rogers



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