Example:
rebuild points.3dm (43.9 KB)
Black is initial data, a sequence of points.
(We can see it as a polyline, but this will give way much more weight to also all the points in-between the original points.)
Red is interpolated points, not really useful outcome.
Magenta is nurbs curve, and the curve is missing every point.
Blue is the new Rebuild command, and again the output is missing every point (because it is reading every part of the polyline as meaningful, while new we only care about the original point, the vertices of the polyline)
White is manually adjusted, nurbs curve of 7 control points.
With just 7 control point must adapt and do a local average where there are closely-packed points, but then it succeds into perfectly hitting the sparse, lone others.
Sorry for the messy explanation.