NURBS Curve Approximation

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Although NURBS curves are analytically generated, in order to generate and display them they must be approximated by line segments.

Curve approximation controls are displayed in the creation parameters for curve objects, and on a Curve Approximation rollout for NURBS models (top-level NURBS objects). At the model level, approximation controls affect all curve sub-objects in the model.

Curve approximation is
accomplished by *segments*. One or more line segments,
or *steps,* are used to approximate
each segment of the curve. For point curves, a segment of a curve
is the portion between one point and the next. For CV curves, the
segment is determined by the CV’s parametric
knot.
The transition from one CV curve segment to another isn’t visible
in viewports.

Curve approximation parameters aren't animatable.