About B-Spline curve with high number of basis function

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Satyajit Ghosh
Satyajit Ghosh on 8 Oct 2021
I am doing optimization with respect to control points of B-Spline representation of a ground truth curve. I know that for B-spline representation the resultant curve will only pass through initial and final control points and rest of the points will act as polygon boundary. But, when I am working with large number of control points, after optimization I am getting a curve where it is exactly (checked with zoom) passing through the control points.
For large number of control points (control points are blue points on the red trajectory) -
For small number of control points (control points are red points) -

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