Here's 2 ways... they aren't perfect...
A. Convert to Editable Mesh, then Editable Poly. Select an Edge, then grab the Loop and do a Create Shape From Selection.
B. Create sphere. Make your Curve a path via a Path Constraint controllers for the sphere. In the Motion Panel/Trajectories, use the Convert To button to create spline.
For A, the spline will be somewhat offset. For B, you'll have to edit the spline to match the shape you want.
I want to know your conversion technique on "By setting my path convert to number of frames=number of samples"
Can you tell me how? I try but I don't see any options for that.
Thanks in advanced.