Question: Critical points of a 3D surface

Hi everybody,

I've got a numerically computed 2D free energy profile given by a set of 3D points (x_n,y_n,E(x_n,y_n)). I'd like to obtain a fit to those points given by some sufficiently smooth analytical function E(x,y) and subsequently compute the critical points (i.e. local minima, maxima and saddle points). Does anyone know if there is any specific package to do this in Maple 8 (or higher) or else what is the best strategy to do so? Thanks in advance.

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