The iDUDE framework for grayscale image denoising

Motta, G - Ordentlich, E - Ramírez Paulino, Ignacio - Seroussi, Gadiel - Weinberger, Marcelo

Resumen:

We present an extension of the discrete universal denoiser DUDE, specialized for the denoising of grayscale images. The original DUDE is a low-complexity algorithm aimed at recov-ering discrete sequences corrupted by discrete memoryless noise of known statistical characteristics. It is universal, in the sense of asymptotically achieving, without access to any information on the statistics of the clean sequence, the same performance as the best denoiser that does have access to such information. The DUDE, however, is not effective on grayscale images of practical size. The difficulty lies in the fact that one of the DUDE’s key com-ponents is the determination of conditional empirical probability distributions of image samples, given the sample values in their neighborhood. When the alphabet is relatively large (as is the case with grayscale images), even for a small-sized neighborhood, the required distributions would be estimated from a large collection of sparse statistics, resulting in poor estimates that would not enable effective denoising. The present work enhances the basic DUDE scheme by incorporating statistical modeling tools that have proven successful in addressing similar issues in lossless image compression. Instantiations of the enhanced framework, which is referred to as iDUDE, are described for examples of adadditive and nonadditive noise. The resulting denoisers significantly surpass the state of the art in the case of salt and pepper (S


P) and M-ary symmetric noise, and perform well for Gaussian noise.


Detalles Bibliográficos
2011
Context-based denoising
Discrete universal de-noiser (DUDE) algorithm
Discrete universal denoising
Gaussian noise
Image denoising
Impulse noise
Inglés
Universidad de la República
COLIBRI
https://hdl.handle.net/20.500.12008/41106
Acceso abierto
Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)
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author Motta, G
author2 Ordentlich, E
Ramírez Paulino, Ignacio
Seroussi, Gadiel
Weinberger, Marcelo
author2_role author
author
author
author
author_facet Motta, G
Ordentlich, E
Ramírez Paulino, Ignacio
Seroussi, Gadiel
Weinberger, Marcelo
author_role author
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dc.creator.none.fl_str_mv Motta, G
Ordentlich, E
Ramírez Paulino, Ignacio
Seroussi, Gadiel
Weinberger, Marcelo
dc.date.accessioned.none.fl_str_mv 2023-11-14T17:04:18Z
dc.date.available.none.fl_str_mv 2023-11-14T17:04:18Z
dc.date.issued.es.fl_str_mv 2011
dc.date.submitted.es.fl_str_mv 20231114
dc.description.abstract.none.fl_txt_mv We present an extension of the discrete universal denoiser DUDE, specialized for the denoising of grayscale images. The original DUDE is a low-complexity algorithm aimed at recov-ering discrete sequences corrupted by discrete memoryless noise of known statistical characteristics. It is universal, in the sense of asymptotically achieving, without access to any information on the statistics of the clean sequence, the same performance as the best denoiser that does have access to such information. The DUDE, however, is not effective on grayscale images of practical size. The difficulty lies in the fact that one of the DUDE’s key com-ponents is the determination of conditional empirical probability distributions of image samples, given the sample values in their neighborhood. When the alphabet is relatively large (as is the case with grayscale images), even for a small-sized neighborhood, the required distributions would be estimated from a large collection of sparse statistics, resulting in poor estimates that would not enable effective denoising. The present work enhances the basic DUDE scheme by incorporating statistical modeling tools that have proven successful in addressing similar issues in lossless image compression. Instantiations of the enhanced framework, which is referred to as iDUDE, are described for examples of adadditive and nonadditive noise. The resulting denoisers significantly surpass the state of the art in the case of salt and pepper (S
P) and M-ary symmetric noise, and perform well for Gaussian noise.
dc.identifier.citation.es.fl_str_mv G. Motta, E. Ordentlich, I. Ramirez, G. Seroussi and M. J. Weinberger, "The iDUDE Framework for Grayscale Image Denoising," IEEE Transactions on Image Processing, v. 20, no. 1, pp. 1-21. doi: 10.1109/TIP.2010.2053939.
dc.identifier.uri.none.fl_str_mv https://hdl.handle.net/20.500.12008/41106
dc.language.iso.none.fl_str_mv en
eng
dc.rights.license.none.fl_str_mv Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
dc.source.none.fl_str_mv reponame:COLIBRI
instname:Universidad de la República
instacron:Universidad de la República
dc.subject.es.fl_str_mv Context-based denoising
Discrete universal de-noiser (DUDE) algorithm
Discrete universal denoising
Gaussian noise
Image denoising
Impulse noise
dc.title.none.fl_str_mv The iDUDE framework for grayscale image denoising
dc.type.es.fl_str_mv Preprint
dc.type.none.fl_str_mv info:eu-repo/semantics/preprint
dc.type.version.none.fl_str_mv info:eu-repo/semantics/submittedVersion
description We present an extension of the discrete universal denoiser DUDE, specialized for the denoising of grayscale images. The original DUDE is a low-complexity algorithm aimed at recov-ering discrete sequences corrupted by discrete memoryless noise of known statistical characteristics. It is universal, in the sense of asymptotically achieving, without access to any information on the statistics of the clean sequence, the same performance as the best denoiser that does have access to such information. The DUDE, however, is not effective on grayscale images of practical size. The difficulty lies in the fact that one of the DUDE’s key com-ponents is the determination of conditional empirical probability distributions of image samples, given the sample values in their neighborhood. When the alphabet is relatively large (as is the case with grayscale images), even for a small-sized neighborhood, the required distributions would be estimated from a large collection of sparse statistics, resulting in poor estimates that would not enable effective denoising. The present work enhances the basic DUDE scheme by incorporating statistical modeling tools that have proven successful in addressing similar issues in lossless image compression. Instantiations of the enhanced framework, which is referred to as iDUDE, are described for examples of adadditive and nonadditive noise. The resulting denoisers significantly surpass the state of the art in the case of salt and pepper (S
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identifier_str_mv G. Motta, E. Ordentlich, I. Ramirez, G. Seroussi and M. J. Weinberger, "The iDUDE Framework for Grayscale Image Denoising," IEEE Transactions on Image Processing, v. 20, no. 1, pp. 1-21. doi: 10.1109/TIP.2010.2053939.
instacron_str Universidad de la República
institution Universidad de la República
instname_str Universidad de la República
language eng
language_invalid_str_mv en
network_acronym_str COLIBRI
network_name_str COLIBRI
oai_identifier_str oai:colibri.udelar.edu.uy:20.500.12008/41106
publishDate 2011
reponame_str COLIBRI
repository.mail.fl_str_mv mabel.seroubian@seciu.edu.uy
repository.name.fl_str_mv COLIBRI - Universidad de la República
repository_id_str 4771
rights_invalid_str_mv Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)
spelling 2023-11-14T17:04:18Z2023-11-14T17:04:18Z201120231114G. Motta, E. Ordentlich, I. Ramirez, G. Seroussi and M. J. Weinberger, "The iDUDE Framework for Grayscale Image Denoising," IEEE Transactions on Image Processing, v. 20, no. 1, pp. 1-21. doi: 10.1109/TIP.2010.2053939.https://hdl.handle.net/20.500.12008/41106We present an extension of the discrete universal denoiser DUDE, specialized for the denoising of grayscale images. The original DUDE is a low-complexity algorithm aimed at recov-ering discrete sequences corrupted by discrete memoryless noise of known statistical characteristics. It is universal, in the sense of asymptotically achieving, without access to any information on the statistics of the clean sequence, the same performance as the best denoiser that does have access to such information. The DUDE, however, is not effective on grayscale images of practical size. The difficulty lies in the fact that one of the DUDE’s key com-ponents is the determination of conditional empirical probability distributions of image samples, given the sample values in their neighborhood. When the alphabet is relatively large (as is the case with grayscale images), even for a small-sized neighborhood, the required distributions would be estimated from a large collection of sparse statistics, resulting in poor estimates that would not enable effective denoising. The present work enhances the basic DUDE scheme by incorporating statistical modeling tools that have proven successful in addressing similar issues in lossless image compression. Instantiations of the enhanced framework, which is referred to as iDUDE, are described for examples of adadditive and nonadditive noise. The resulting denoisers significantly surpass the state of the art in the case of salt and pepper (SP) and M-ary symmetric noise, and perform well for Gaussian noise.Made available in DSpace on 2023-11-14T17:04:18Z (GMT). No. of bitstreams: 5 MORSW11.pdf: 2559339 bytes, checksum: 68599c3cbd0d1f767f5a183335b0c18a (MD5) license_text: 21936 bytes, checksum: 9833653f73f7853880c94a6fead477b1 (MD5) license_url: 49 bytes, checksum: 4afdbb8c545fd630ea7db775da747b2f (MD5) license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b86306 (MD5) license.txt: 4194 bytes, checksum: 7f2e2c17ef6585de66da58d1bfa8b5e1 (MD5) Previous issue date: 2011enengLas obras depositadas en el Repositorio se rigen por la Ordenanza de los Derechos de la Propiedad Intelectual de la Universidad De La República. (Res. Nº 91 de C.D.C. de 8/III/1994 – D.O. 7/IV/1994) y por la Ordenanza del Repositorio Abierto de la Universidad de la República (Res. Nº 16 de C.D.C. de 07/10/2014)info:eu-repo/semantics/openAccessLicencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)Context-based denoisingDiscrete universal de-noiser (DUDE) algorithmDiscrete universal denoisingGaussian noiseImage denoisingImpulse noiseThe iDUDE framework for grayscale image denoisingPreprintinfo:eu-repo/semantics/preprintinfo:eu-repo/semantics/submittedVersionreponame:COLIBRIinstname:Universidad de la Repúblicainstacron:Universidad de la RepúblicaMotta, GOrdentlich, ERamírez Paulino, IgnacioSeroussi, GadielWeinberger, MarceloProcesamiento de SeñalesTratamiento de 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- Universidad de la Repúblicafalse
spellingShingle The iDUDE framework for grayscale image denoising
Motta, G
Context-based denoising
Discrete universal de-noiser (DUDE) algorithm
Discrete universal denoising
Gaussian noise
Image denoising
Impulse noise
status_str submittedVersion
title The iDUDE framework for grayscale image denoising
title_full The iDUDE framework for grayscale image denoising
title_fullStr The iDUDE framework for grayscale image denoising
title_full_unstemmed The iDUDE framework for grayscale image denoising
title_short The iDUDE framework for grayscale image denoising
title_sort The iDUDE framework for grayscale image denoising
topic Context-based denoising
Discrete universal de-noiser (DUDE) algorithm
Discrete universal denoising
Gaussian noise
Image denoising
Impulse noise
url https://hdl.handle.net/20.500.12008/41106