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refine a spline

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I have a planar spline (brown) created in the early stage in my model. It has 3 segments. Now I want to refine it to one segment while keeping its original shape roughly.
 
I did the job like this: 
  1. create a new sketch
  2. project the original spline to the sketch (non-associative)
  3. edit the projection spline (blue/green) to 1 segment directly (here the original shape is lost)
  4. drag the poles of the projection spline (blue/green) to approach the original spline (brown).
Sometimes the last step is very painful when the original curve is complex (e.g. with 9 poles).
 
Hope to have your suggestions on a better workflow. Thanks!
 
a planar spline to be refined
Image.png

edit the projection spline to 1 segment directly
Image.png

drag for manual fitting
Image.png

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