F-transform; removing noise; image processing

We have introduced the technique of direct and inverse F-transforms and investigated approximating properties of the inverse F-transform. A special interest ha been paid to the problem of removing noise which relates to nonlinear signal processing methods. We showed that the inverse F-transform can be considered as a special fuzzy identity filter which can be utilized, e.g., in image processing to preserve true image edges. In the present contribution we characterized an additive noise which can be removed by applying the inverse F-transform to an original function.

We have introduced the technique of direct and inverse F-transforms and investigated approximating properties of the inverse F-transform. A special interest ha been paid to the problem of removing noise which relates to nonlinear signal processing methods. We showed that the inverse F-transform can be considered as a special fuzzy identity filter which can be utilized, e.g., in image processing to preserve true image edges. In the present contribution we characterized an additive noise which can be removed by applying the inverse F-transform to an original function.