CAGD: Design of curves. Splines & NURBS. Alexander Lauser Ferienakademie Sarntal 2004. Agenda. Motivation Polynomial Interpolation Bézier curves Splines Smoothness B-Splines Rational Bézier curves NURBS. Calculation of the path for a robot . Design of products (e.g. CAD).
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Splines & NURBS
Alexander LauserFerienakademie Sarntal 2004
They have the same smoothness as cubic B-Splines
An even more powerful approach
Moving a control point (left) differs heavily from changing its weight (right)Rational Bézier curves
Puzzeling with rational curves
Programming is a race between the programmer and the universe: The programmer trying to make the programm more and more foolproof and the universe trying to make greater idiots – so far the universe won.
-- Unkown sourceThe End
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