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Mathematical representations of curves
Background
Curves
NURBS
NURBS are the curve and
surface representation used for modeling in Alias.
NURBS stands for Non-Uniform
Rational B-Splines.
- Non-Uniform refers to the parameterization
of the curve. Non-Uniform curves allow, among other things, the
presence of multi-knots, which are needed to represent Bezier curves.
- Rational refers to the underlying mathematical
representation. This property allows NURBS to represent exact conics
(such as parabolic curves, circles, and ellipses) in addition to
free-form curves.
- B-splines are piecewise polynomial curves
that have a parametric representation.
For more information
on NURBS objects, see the following: