Hi Mike, those are great looking results!

You may want to use the "Refit to tolerance" mode for the rebuild though (try with a tolerance of 0.001), since that mode is able to add more detail to the rebuilt curve only in areas where it is more bendy, while at the same time giving a result that has an evenly distributed parametrization.

Also you should get the same results that you show with just leaving the line totally alone, you should not need to rebuild the line.

There is not any need to actually get the exact same number of control points in both the base and target curves - what you instead need is for each curve to have an evenly distributed parameterization which a line will already have without rebuilding it.

- Michael