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A novel model-independent L\'evy imaging method is employed forreconstruction of the elastic $pp$ and $p\bar p$ scattering amplitudes at lowand high energies. The four-momentum transfer $t$ dependent elastic slope$B(t)$, the nuclear phase $\phi(t)$ as well as the excitation function of theshadow profile $P(b)$ have been extracted from data at ISR, Tevatron and LHCenergies. We found qualitative differences in properties of $B(t)$ and$\phi(t)$ between $pp$ and for $p\bar p$ collisions, that indicate an Odderoneffect. A proton substructure has also been identified and found to have twodifferent sizes, comparable to that of a dressed quark at the ISR and of adressed diquark at the LHC energies, respectively.

L\'evy imaging of elastic hadron-hadron scattering: Odderon and inner structure of the proton