Convert multiple Bézier segments to a nurbs curve

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I have multiple cubic Bézier curve segments which are contiguous and G1 (they are the result of the fitting of many curve samples).

Now I would like to transform these Bézier segments into a single NURBS curve. When there is a single Bézier segment, the operation is rather easy:

  • Same 4 control points as the Bézier segment
  • Knots vector is 0 0 0 0 1 1 1 1
  • degree is 3

Now when there are multiple Bézier segments I don't know what to do to convert them into a single NURBS. Any idea?