I'm afraid i don't enterily understand your question, but i can suggest some things in the hope it helps you.
What i understood is that you wants to create point along a spline? and they have to have a certain distance between them, based on the tolerance?
What i frequently use for our robot programmers is
"fit spline" to make sure the differents lines become one complete line.
followed insert point, distance and the number of point you like, or add till the line is full.
i added a screenshot, hope it helps.