Where P is the control point, w is weight.

I plan to extrude this 2d representation into 3d. I have a discrete 2D representation (array which has [n_points, 2, 1] for each sample) of an airfoil that has to be extruded to form a wing along the z axis which has parameters like Span and variation on chord length. In theory, this seems easy, however, in code, I can't find any basis on how to implement it.

I have not found anything regarding this which doesn't use high utility libraries. Any leads or explanations will be highly appreciated.