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Deriving the extended PSF of an image is very important in many aspects of the analysis of the objects within it. Gnuastro has a set of installed scripts, designed to simplify the process following the recipe of Infante-Sainz et al. (2020, https://arxiv.org/abs/1911.01430); for more, see PSF construction and subtraction. An overview of the process is given in Overview of the PSF scripts.
GNU Astronomy Utilities 0.19 manual, October 2022.