F-transform, image processing, image inpainting

We propose to reconstruct a damaged image with help of a fuzzy technique, namely the F-transform. In the last ten years, the theory of F-transforms has been intensively developed in many directions. In image processing, it has successful applications in image compression and reduction, image fusion, edge detection, noise removing, etc. F-transform can approximate the original function with an arbitrary precision and thus it can be chosen as an appropriate technique. This paper is a survey of several techniques used for different types of images.