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In this paper, we propose to use modified Landweber iterations for reverse image filtering, evaluate the performance of our approach, and present applications to image deblurring and super-resolution. An important advantage of our approach over the existing reverse image filtering methods is high robustness to noise.<\/jats:p>","DOI":"10.1007\/s11760-022-02236-w","type":"journal-article","created":{"date-parts":[[2022,7,1]],"date-time":"2022-07-01T00:03:02Z","timestamp":1656633782000},"page":"333-341","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":14,"title":["Reverse image filtering with clean and noisy filters"],"prefix":"10.1007","volume":"17","author":[{"given":"Lizhong","family":"Wang","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Pierre-Alain","family":"Fayolle","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7043-8847","authenticated-orcid":false,"given":"Alexander G.","family":"Belyaev","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2022,7,1]]},"reference":[{"key":"2236_CR1","doi-asserted-by":"publisher","first-page":"124","DOI":"10.5201\/ipol.2019.243","volume":"9","author":"J Anger","year":"2019","unstructured":"Anger, J., Facciolo, G., Delbracio, M.: Blind image deblurring using the l0 gradient prior. 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