Morphing a 2D planar object

In my current project I am trying to create a system that takes in an array of elevations and then maps each of those values onto a point flat plane to create a sort of geographical height map of an area. I have so far looked at splines as a way to do this but they only work in 1D, by which i mean there is only one axis of input which is the forward axis of the spline. Is there a way to do this or should I abandon this feature?

Thanks for any help