Subpixel point spread function estimation from two photographs at different distances
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.
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) |
_version_ | 1807522937964593152 |
---|---|
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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collection | COLIBRI |
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 |
format | article |
id | COLIBRI_81082aa9ace49759959786437b89274c |
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 1936-4954 |
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:20.500.12008/41148 |
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 |
repository_id_str | 4771 |
rights_invalid_str_mv | Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
spelling | 2023-11-14T17:04:31Z2023-11-14T17:04:31Z201220231114Delbracio, 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 |