How to interpolate uv coordinates from partial points of vertex?

[xhuan8]

Hi,

I try to interpolate uv coordinates, but currently I only got the position of vertex, like:

And I want the full uv coordinates, like:

I try to use scipy.interpolate.interp2d, but the result is not good:

is there any way to interpolate? or is it possible to add vertex with uv coordinates to mesh?