I found out a way to do it but I'm not sure this is the only way of doing it... Here's the code to get the data interpolated to a grid:
ugrid = griddata(x, y, u, xq, yq);
However, since my data has holes in it, I wanted to interpolate to the grid, ONLY the values from the alpha shape. Here's how I'm taking care of that:
shp = alphaShape(x, y);
in = inShape(xhp, xq, yq);
ugridin = ugrid;
ugridin(in==0) = NaN;