Plot 3D using center nodes instead of vertices

When plotting a 3D plot, points are drawn in each mesh vertex, is there any way they can be drawn in the node centre. For example:

if true
  [X,Y] = meshgrid(1:5, 1:5);
  Z = X .* exp(-X.^2 - Y.^2);
  surf(X,Y,Z)
  view(2) 
end

The plot shows 4x4 nodes because points are drawn in vertices, I would like them to be drawn in the node centre so the figure would show 5x5 nodes. Of course I could add more points in meshgrid function since Z is a know function in the example. But that is not the point, in my real problem, Z is just data, and I would not like to extrapolate.

Thanks for any help.