What would be a definition of Affine Invariance with respect to B-Splines?

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I might be missing the obvious here. Still, I understand an affine transformation is a transformation that preserves collinearity and ratio of lengths, and I'm struggling to understand what it means for B-Splines to be affine invariant though. I know that when an affine transformation is applied to a B-Spline, we only need to apply the transformation to the control points to find the new curve. Is this all there is to say?

Thank you for any help