  This paper presents the status of an ongoing project aimed at developing a
PSF reconstruction software for adaptive optics (AO) observations. In
particular, we test for the first time the implementation of pyramid wave-front
sensor data on our algorithms. As a first step in assessing its reliability, we
applied the software to bright, on-axis, point-like sources using two
independent sets of observations, acquired with the single-conjugated AO
upgrade for the Large Binocular Telescope. Using only telemetry data, we
reconstructed the PSF by carefully calibrating the instrument response. The
accuracy of the results has been first evaluated using the classical metric:
specifically, the reconstructed PSFs differ from the observed ones by less than
2% in Strehl ratio and 4.5% in full-width at half maximum. Moreover, the
recovered encircled energy associated with the PSF core is accurate at 4% level
in the worst case. The accuracy of the reconstructed PSFs has then been
evaluated by considering an idealized scientific test-case consisting in the
measurements of the morphological parameters of a compact galaxy. In the
future, our project will include the analysis of anisoplanatism, low SNR
regimes, and the application to multi-conjugated AO observations.
