Image reconstruction by means of F-transform

We propose a new image reconstruction technique that uses approximation properties of the fuzzy (F-)transform and its ability to remove noise. The proposed technique is based on the inverse F-transform and combines it with an original image on a non-damaged area. We present two algorithms of the F-transform based reconstruction: one-step and multi-step. We demonstrate how these algorithms cope with various corruptions. We compare results with interpolation and advanced inpainting techniques.