This repository contains a simple implementation in MATLAB of the following paper on reverse image filtering noisy filters.

An example of use is shown in the file test.m. It performs defiltering on a noisy motion blurred image.

No particular dependency (e.g., to additional toolboxes).

The file Landweber.m contains an implementation of the main approach described in the paper. The files PC_Landweber.m and NA_Landweber.m contain accelerated variants (described in the paper as well).

This is a link to the paper where the methods were introduced. The corresponding bibtex entry is

@article{Wang2023,
title = "Reverse image filtering with clean and noisy filters",
author = "Wang, Lizhong and Fayolle, Pierre-Alain and Belyaev, Alexander",
year = "2023",
journal = "Signal, Image and Video Processing",
volume = "17", 
pages = "333-341", 
issn = "1863-1703",
publisher = "Springer",
doi = "https://doi.org/10.1007/s11760-022-02236-w", 
}