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improve an offset curve-II

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In a previous thread and  taught a light "offsetting" technique.
 
Here is another similar situation:
 
● START is a degree-5 segment-1 spline.
 
● A narraw strip (Narrow_strip) is created following the basic shape of START.
 
● Composite Curve + Fit Curve (with START as template) are used to improve the long edges of the narrow strip.
 
In some situations, the resulting curves have very big deviation to the edges of the narrow strip. I wonder whether there is better ways to do the job. Your comments would be appreciated!
 
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