Smoothing data by using high degree B-spline Smoothing

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I am working on video stabilization. After obtaining affine transformation parameters (translation, scale+rotation) between two consecutive frames, I need to smooth out them for stabilize purpose. To do that, I want to use B-Spline to smooth it. Any suggestion or explanation how to use B-Spline to smooth those parameter (translation x, translation y, scale+rotation a) or some code c++ to smooth those points.

Thank you in advance.

Here is illustrated figure about smoothing some points.