The potential of a next-generation ground-based gamma-ray telescope to perform morphological studies of celestial gamma-ray sources is investigated. With this aim, general analytical expressions for the instrument response are
derived and simulations of isolated source are used as a benchmark to understand the telescope performance. The morphology is represented assuming an ideal Gaussian point spread function (PSF) and a non-Gaussian PSF with extended tails. The response of the telescope is also tested in case of complex environments. In particular, the effect of locating the source (i) nearby a second one and (ii) on top of a diffuse halo-type object is investigated. The first scenario is particularly interesting in the framework of Galactic objects, where the presence of more than one single
source in the same field of view (FoV) is expected. The latter represents a relevant study in the contest of extended extra-galactic sources surrounding AGNs
