  We describe a new and model-independent L\'evy imaging method of quality fits
to the published datasets and reconstruct the amplitude of high-energy $pp$ and
$p\bar p$ elastic scattering processes. This method allows us to determine the
excitation function of the shadow profile $P(b)$, the elastic slope $B(t)$ and
the nuclear phase $\phi(t)$ functions of $pp$ and $p\bar p$ collisions directly
from the data. Surprisingly, notable qualitative differences in $B(t)$ for $pp$
and for $p\bar p$ collisions point towards an Odderon effect. As a by-product,
we clearly identify the proton substructure with two different sizes at the ISR
and LHC energies, that has striking similarity to a dressed quark (at the ISR)
and a dressed diquark (at the LHC). We present model-independent results for
the corresponding sizes and cross-sections for such a substructure for the
existing data at different energies.
