Subpixel point spread function estimation from two photographs at different distances

Almansa, Andrés - Musé, Pablo - Delbracio, Mauricio - Morel, Jean-Michel

Resumen:

In most digital cameras, and even in high-end digital single lens reflex cameras, the acquired images are sampled at rates below the Nyquist critical rate, causing aliasing effects. This work introduces an algorithm for the subpixel estimation of the point spread function (PSF) of a digital camera from aliased photographs. The numerical procedure simply uses two fronto-parallel photographs of any planar textured scene at different distances. The mathematical theory developed herein proves that the camera PSF can be derived from these two images, under reasonable conditions. Mathematical proofs supplemented by experimental evidence show the well-posedness of the problem and the convergence of the proposed algorithm to the camera in-focus PSF. An experimental comparison of the resulting PSF estimates shows that the proposed algorithm reaches the accuracy levels of the best nonblind state-of-the-art methods.


Detalles Bibliográficos
2012
Procesamiento de Señales
Inglés
Universidad de la República
COLIBRI
https://hdl.handle.net/20.500.12008/41148
https://doi.org/10.1137/110848335
Acceso abierto
Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)
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author Almansa, Andrés
author2 Musé, Pablo
Delbracio, Mauricio
Morel, Jean-Michel
author2_role author
author
author
author_facet Almansa, Andrés
Musé, Pablo
Delbracio, Mauricio
Morel, Jean-Michel
author_role author
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dc.creator.none.fl_str_mv Almansa, Andrés
Musé, Pablo
Delbracio, Mauricio
Morel, Jean-Michel
dc.date.accessioned.none.fl_str_mv 2023-11-14T17:04:31Z
dc.date.available.none.fl_str_mv 2023-11-14T17:04:31Z
dc.date.issued.es.fl_str_mv 2012
dc.date.submitted.es.fl_str_mv 20231114
dc.description.abstract.none.fl_txt_mv In most digital cameras, and even in high-end digital single lens reflex cameras, the acquired images are sampled at rates below the Nyquist critical rate, causing aliasing effects. This work introduces an algorithm for the subpixel estimation of the point spread function (PSF) of a digital camera from aliased photographs. The numerical procedure simply uses two fronto-parallel photographs of any planar textured scene at different distances. The mathematical theory developed herein proves that the camera PSF can be derived from these two images, under reasonable conditions. Mathematical proofs supplemented by experimental evidence show the well-posedness of the problem and the convergence of the proposed algorithm to the camera in-focus PSF. An experimental comparison of the resulting PSF estimates shows that the proposed algorithm reaches the accuracy levels of the best nonblind state-of-the-art methods.
dc.identifier.citation.es.fl_str_mv Delbracio, M, Almansa, A, Morel, J, Musé, P. "Subpixel point spread function estimation from two photographs at different distances" SIAM Journal on Imaging Sciences, 2012, v. 5, no. 4, pp. 1234–1260. https://doi.org/10.1137/110848335
dc.identifier.doi.es.fl_str_mv https://doi.org/10.1137/110848335
dc.identifier.eissn.es.fl_str_mv 1936-4954
dc.identifier.uri.none.fl_str_mv https://hdl.handle.net/20.500.12008/41148
dc.language.iso.none.fl_str_mv en
eng
dc.publisher.es.fl_str_mv SIAM
dc.relation.ispartof.es.fl_str_mv SIAM Journal on Imaging Sciences, 2012, v. 5, no. 4, pp. 1234–1260
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.other.es.fl_str_mv Procesamiento de Señales
dc.title.none.fl_str_mv Subpixel point spread function estimation from two photographs at different distances
dc.type.es.fl_str_mv Artículo
dc.type.none.fl_str_mv info:eu-repo/semantics/article
dc.type.version.none.fl_str_mv info:eu-repo/semantics/publishedVersion
description In most digital cameras, and even in high-end digital single lens reflex cameras, the acquired images are sampled at rates below the Nyquist critical rate, causing aliasing effects. This work introduces an algorithm for the subpixel estimation of the point spread function (PSF) of a digital camera from aliased photographs. The numerical procedure simply uses two fronto-parallel photographs of any planar textured scene at different distances. The mathematical theory developed herein proves that the camera PSF can be derived from these two images, under reasonable conditions. Mathematical proofs supplemented by experimental evidence show the well-posedness of the problem and the convergence of the proposed algorithm to the camera in-focus PSF. An experimental comparison of the resulting PSF estimates shows that the proposed algorithm reaches the accuracy levels of the best nonblind state-of-the-art methods.
eu_rights_str_mv openAccess
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identifier_str_mv Delbracio, M, Almansa, A, Morel, J, Musé, P. "Subpixel point spread function estimation from two photographs at different distances" SIAM Journal on Imaging Sciences, 2012, v. 5, no. 4, pp. 1234–1260. https://doi.org/10.1137/110848335
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publishDate 2012
reponame_str COLIBRI
repository.mail.fl_str_mv mabel.seroubian@seciu.edu.uy
repository.name.fl_str_mv COLIBRI - Universidad de la República
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rights_invalid_str_mv Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)
spelling 2023-11-14T17:04:31Z2023-11-14T17:04:31Z201220231114Delbracio, M, Almansa, A, Morel, J, Musé, P. "Subpixel point spread function estimation from two photographs at different distances" SIAM Journal on Imaging Sciences, 2012, v. 5, no. 4, pp. 1234–1260. https://doi.org/10.1137/110848335https://hdl.handle.net/20.500.12008/41148https://doi.org/10.1137/1108483351936-4954In most digital cameras, and even in high-end digital single lens reflex cameras, the acquired images are sampled at rates below the Nyquist critical rate, causing aliasing effects. This work introduces an algorithm for the subpixel estimation of the point spread function (PSF) of a digital camera from aliased photographs. The numerical procedure simply uses two fronto-parallel photographs of any planar textured scene at different distances. The mathematical theory developed herein proves that the camera PSF can be derived from these two images, under reasonable conditions. Mathematical proofs supplemented by experimental evidence show the well-posedness of the problem and the convergence of the proposed algorithm to the camera in-focus PSF. An experimental comparison of the resulting PSF estimates shows that the proposed algorithm reaches the accuracy levels of the best nonblind state-of-the-art methods.Made available in DSpace on 2023-11-14T17:04:31Z (GMT). No. of bitstreams: 5 DMAM12.pdf: 3886935 bytes, checksum: 805e2dd72b08fd7c1777da6c7f936bd8 (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: 2012enengSIAMSIAM Journal on Imaging Sciences, 2012, v. 5, no. 4, pp. 1234–1260Las 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)Procesamiento de SeñalesSubpixel point spread function estimation from two photographs at different distancesArtículoinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionreponame:COLIBRIinstname:Universidad de la Repúblicainstacron:Universidad de la RepúblicaAlmansa, AndrésMusé, PabloDelbracio, MauricioMorel, Jean-MichelProcesamiento de SeñalesTratamiento de 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- Universidad de la Repúblicafalse
spellingShingle Subpixel point spread function estimation from two photographs at different distances
Almansa, Andrés
Procesamiento de Señales
status_str publishedVersion
title Subpixel point spread function estimation from two photographs at different distances
title_full Subpixel point spread function estimation from two photographs at different distances
title_fullStr Subpixel point spread function estimation from two photographs at different distances
title_full_unstemmed Subpixel point spread function estimation from two photographs at different distances
title_short Subpixel point spread function estimation from two photographs at different distances
title_sort Subpixel point spread function estimation from two photographs at different distances
topic Procesamiento de Señales
url https://hdl.handle.net/20.500.12008/41148
https://doi.org/10.1137/110848335