The bilateral filter perhaps is the most fundamental smoothing tool in image processing. However, low-computational efficiency limits its applications. To the best of authors' knowledge, all existing fast bilateral filtering algorithms are handcrafted by talented authors. However, it is a painstaking and effortless work to design an acceleration algorithm. In this Letter, the authors propose a radial basis function network to automatically produce the fast bilateral filtering algorithm. This is done by establishing the one–one connection between the radial basis function network and the fast bilateral filtering algorithm. Experiments demonstrate that their method is able to produce state-of-the-art results.