Is the vector field interpolation coordinate-wise?

[stla]

Hello,

I'm doing a new R package, wrapping the CGAL stuff for function interpolation 👍 I think all existing methods in R require gridded data, but not CGAL, so there's something new.

I have a question: when interpolation a function f: Vector2 -> Vector2, is it equivalent to interpolate it coordinate-wise? (I mean equivalent to interpolate both coordinates separately).

And is there a nonlinear interpolation method for such a function?

[stla]

Hmm no as I understand, because an interpolation is obtained by averaging some vectors, so the two coordinates share the same coefficient.