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I have converted an edge loop to a curve. The edge loop itself was fairly low poly. I want the curve to look smooth so I tried to increase the resolution of it but it looks exactly the same.

enter image description here

Is there a way I can get the curve to be a smooth interpolation of the edge loop?

blende file

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This is because the converted curve is a Poly spline.

To convert it to a smoothly interpolated curve:

  1. Convert it to a Bezier or NURBS spline in 3D view > Tool shelf > Curve Tools > Set Spline Type:

    enter image description here

  2. Then convert all the Control Vertices to Auto (or something besides vector) by pressing A> Select all V> Automatic.

Now you can adjust the Resolution as desired to adjust the "smoothness":

enter image description here

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After converting the mesh to a curve, go into edit mode, then in the Modeling section of the Tools tab, click on Smooth several times.

enter image description here

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