Two Iterative Methods for Reverse Image Filtering

Alexander Belyaev; Pierre-Alain Fayolle

doi:10.1007/s11760-021-01889-3

Two Iterative Methods for Reverse Image Filtering

Alexander Belyaev
, Pierre-Alain Fayolle

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

282 Downloads (Pure)

Abstract

We consider the problem of recovering an original image x from its filtered version y= f(x) , assuming that the internal structure of the filter 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.

Original language	English
Pages (from-to)	1565-1573
Number of pages	9
Journal	Signal, Image and Video Processing
Volume	15
Issue number	7
Early online date	8 Apr 2021
DOIs	https://doi.org/10.1007/s11760-021-01889-3
Publication status	Published - Oct 2021

Keywords

Nonlinear filtering
Recovery
Reverse filtering

ASJC Scopus subject areas

Signal Processing
Electrical and Electronic Engineering

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title = "Two Iterative Methods for Reverse Image Filtering",

abstract = "We consider the problem of recovering an original image x from its filtered version y= f(x) , assuming that the internal structure of the filter 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.",

keywords = "Nonlinear filtering, Recovery, Reverse filtering",

author = "Alexander Belyaev and Pierre-Alain Fayolle",

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AB - We consider the problem of recovering an original image x from its filtered version y= f(x) , assuming that the internal structure of the filter 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.

KW - Nonlinear filtering

KW - Recovery

KW - Reverse filtering

UR - https://www.scopus.com/pages/publications/85104072418

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DO - 10.1007/s11760-021-01889-3

M3 - Article

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EP - 1573

JO - Signal, Image and Video Processing

JF - Signal, Image and Video Processing

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Two Iterative Methods for Reverse Image Filtering

Abstract

Keywords

ASJC Scopus subject areas

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