  In order to better utilize the information contained in the shower images
generated by imaging Cherenkov telescopes (IACTs) equipped with cameras with
small pixels, images are fit to a parametrization of image shapes gained from
Monte Carlo simulations, treating the shower direction, impact point, and
energy as free parameters. Monte Carlo studies for a system of IACTs predict an
improvement of order 1.5 in the angular resolution. The fitting technique can
also be applied to single-telescope images; simulations indicate that the
shower direction in space can be reconstructed event-by-event with a resolution
of 0.16 deg. to 0.20 deg., allowing to generate genuine source maps. Data from
Crab observations with a single HEGRA telescope confirm this prediction.
