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ContourPlot and finite approximation to level sets


Hi all,

Given a real-valued function f(x,y) over {(x,y) | xmin < x < xmax, ymin
< y < ymax}, ContourPlot can be used to generate the graph of the level
set { (x,y) | f(x,y) = c } using

ContourPlot[f[x,y],{x,xmin,xmax},{y,ymin,ymax},Contours->{c},ContourShading->False].

Is there any way to access the coordinates used by Mathematica to paint
the contour line of height c? If not, can anyone suggest an algorithm,
such as the one used by Mathematica, to finitely approximate a level
set?

Thanks very much in advance,

James


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