We use an almost model-independent analytical parameterization for pp andpp elastic scattering data to analyze the eikonal, profile, and inelastic overlap functions in the impact parameter space. Error propagation in the fit parameters allows estimations of uncertainty regions, improving the geometrical description of the hadron-hadron interaction. Several predictions are shown and, in particular, the prediction for pp inelastic overlap function at √ s = 14 TeV shows the saturation of the Froissart-Martin bound at LHC energies.