ARGOS is the ground layer adaptive optics system planned for the LBT. Although ground layer adaptive optics systems provide a relatively homogeneous point spread function over the full field of view there will be still variations of the order of a few 10%. In the case of a laser based GLAO system these variations are mostly due to the facts that only one auxiliary guide star is used and to the cone effect. Astrometry and photometry on AO corrected images are effected by these changes in the shape of the point spread function with field angle. To reduce this effect for the ARGOS system a scheme for point spread function reconstruction from wavefront sensor data is developed. The scheme uses the wavefront sensor data twofold: To reconstruct the wavefront and to measure the atmospheric profile via SLODAR. The reconstruction scheme is tested in simulations of the full system for various seeing conditions and guide star angles. The quality of the reconstruction is tested in simulation.© (2010) COPYRIGHT SPIE--The International Society for Optical Engineering. Downloading of the abstract is permitted for personal use only.