How to plot weighted contour plot?

I have [x,y,z,err_z] data. I want to plot a contour diagram but weighted by 1./err_z. Is it possible to do in the matlab?

[darova]

What does it mean: "weighted contout"? you want change linewidth along contour?

[Adam Danz]

Why not just do,

contour(X, Y, Z .* (1/err_z))