Modify panel > Select NURBS object. > Stack display > Curve sub-object level > Select curve sub-object. > Curve Common rollout > Make COS button
This dialog converts a curve to a point curve on surface or CV curve on surface. The Make COS button that displays it is enabled only for the following types of curves:
If the curve is already a curve on surface, this dialog lets you change its type.

CV Curve on Surface—Converts the curve to a CV curve on surface.
Number of CVs—Specifies the number of CVs in the new curve.
Point Curve on Surface—Converts the curve to a point curve on surface.
Number of Points—Specifies the number of points in the new curve.
Preview—When on, previews the effect of the conversion in viewports. Default=on.