Two iterative methods for reverse image filtering

Author:

Belyaev Alexander G.ORCID,Fayolle Pierre-Alain

Abstract

AbstractWe consider the problem of recovering an original image $${\varvec{x}}$$ x from its filtered version $${\varvec{y}}={\varvec{f}}({\varvec{x}})$$ y = f ( x ) , assuming that the internal structure of the filter $${\varvec{f}}(\cdot )$$ f ( · ) is unknown to us (i.e., we can only query the filter as a black-box and, for example, cannot invert it). We present two new iterative methods to attack the problem, analyze, and evaluate them on various smoothing and edge-preserving image filters.

Publisher

Springer Science and Business Media LLC

Subject

Electrical and Electronic Engineering,Signal Processing

Cited by 6 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Brezinski inverse and geometric product-based Steffensen's methods for a semi-blind image reverse filtering model;Applied Mathematical Modelling;2024-04

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3. A new form of LSMR for solving linear systems and least-squares problems;International Journal of Computing Science and Mathematics;2023

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