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fit a curve for class A

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The scenario below should be very familiar to surfacing people.
 
It's to approximate an original curve (Oiriginal_Pink) with 5 segments: three simple splines (degree=2) and two fillets (degree=5). As far as what I've learnt until now, basically it need be done by pure manual work. The results by different people at different time might be signicantly different.
 
I wonder whether there's a mathematically optimal route to do the job.
 
Thank you for your comments!
 
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