def fit3(x, y, s, r, nb_points):
leaf, leaf_surface = fit2(x, y, s, r)
xn, yn, sn, rn = simplify(leaf, nb_points)
new_surface = simps(rn, sn)
scale_radius = leaf_surface / new_surface
rn *= scale_radius
return (xn, yn, sn, rn)
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