The iDUDE framework for grayscale image denoising
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.
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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collection | COLIBRI |
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 |
eu_rights_str_mv | openAccess |
format | preprint |
id | COLIBRI_69a2e032afa85b97a73dd3b5e2c5d746 |
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 |