# Treating BSplineCurve or BezierCurve as region in RegionPlot3D

GROUPS:
 I am trying to exclude a tubular parametric curve of a given thickness from a region in RegionPlot3D.  The curve cannot be defined in terms of x, y, z.  Here is the curve:points = Transpose[{    Table[Cos[1/2 \[Theta]], {\[Theta], 0, \[Pi],  \[Pi]/2000}],    Table[Sin[\[Theta]]^2, {\[Theta], 0, \[Pi],  \[Pi]/2000}],    Table[Sin[3 \[Theta]]^3, {\[Theta], 0, \[Pi],  \[Pi]/2000}]}];Graphics3D[{Thickness[0.02], BSplineCurve[points]}]I have explored using BezierFunction and BSpline to no avail.  The best I can manage is to use Show with Graphics3D and RegionPlot3D, but this does not treat the curve as a region.  Is there a way to represent the curve as a region?My current workaround is using many thousands of inequalities to create a spherical region around each data point on the curve, but it's tedious and slow.