interpolate on a sparse - incomplete - non-square grid

I have some data in the form of a vector (xi,yi,Fi,Gi) where F and G are two-dimensional functions of x and y.

However, the {xi,yi} set do NOT form a grid: ie for some values of x there are more y values where I know F and G e.g.

x=[2,2,2,3,3,4,4,4,4,5,5]';
y=[4,5,6,5,6,7,8,9,10,8,10]';

I want to perform some calculations involving x, F and G. Is there a way to perform interpolation to get for example f_int the interpolation of f on a subset of the (x,y) parameter space,_ e.g._ on

x_int=3:.1:4;
y_int=5:.1:10;

However it seems that interp2 would not work because the (xi,yi) are not monotonously ordered...

Answer 1

[Matt J]

See TriScatterdInterp or griddata.