  Understanding the outer heliospheric interface is a major challenge,
especially in the light of recent observations by the IBEX and Voyager
missions. We present further details on a new required theoretical correction
that has been identified as substantial in a recent paper, the so-called source
depletion effect. These results complement and expand earlier calculations of
transit-time delays by presenting global skymaps of Energetic Neutral Atoms
(ENAs) calculated with the depletion correction, comparing them with skymaps
calculated without these corrections. Our results demonstrate that the
depletion correction is critical for interpreting IBEX-Hi ENA fluxes generated
in the inner heliosheath, and that any attempt to reconstruct the shape of the
heliospheric boundary needs to include the depletion correction, unless
arriving at considerably erroneous results.
