Continuous phase estimation from noisy fringe patterns based on the implicit smoothing splines

Autores
Wielgus, Maciek; Patorski, Krzysztof; Etchepareborda, Pablo Gonzalo; Federico, Roque Alejandro
Año de publicación
2014
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We introduce the algorithm for the direct phase estimation from the single noisy interferometric pattern. The method, named implicit smoothing spline (ISS), can be regarded as a formal generalization of the smoothing spline interpolation for the case when the interpolated data is given implicitly. We derive the necessary equations, discuss the properties of the method and address its application for the direct estimation of the continuous phase in both classical interferometry and digital speckle pattern interferometry (DSPI). The numerical illustrations of the algorithm performance are provided to corroborate the high quality of the results.
Fil: Wielgus, Maciek. Uniwersytet Warszawski; Argentina
Fil: Patorski, Krzysztof. Uniwersytet Warszawski; Argentina
Fil: Etchepareborda, Pablo Gonzalo. Instituto Nacional de Tecnología Industrial. Centro de Electrónica e Informática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Federico, Roque Alejandro. Instituto Nacional de Tecnología Industrial. Centro de Electrónica e Informática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Materia
Análisis de franjas
Recuperación de fase
Interferometría de speckle
Metrología
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/33743
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/33743
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Continuous phase estimation from noisy fringe patterns based on the implicit smoothing splinesWielgus, MaciekPatorski, KrzysztofEtchepareborda, Pablo GonzaloFederico, Roque AlejandroAnálisis de franjasRecuperación de faseInterferometría de speckleMetrologíahttps://purl.org/becyt/ford/2.2https://purl.org/becyt/ford/2We introduce the algorithm for the direct phase estimation from the single noisy interferometric pattern. The method, named implicit smoothing spline (ISS), can be regarded as a formal generalization of the smoothing spline interpolation for the case when the interpolated data is given implicitly. We derive the necessary equations, discuss the properties of the method and address its application for the direct estimation of the continuous phase in both classical interferometry and digital speckle pattern interferometry (DSPI). The numerical illustrations of the algorithm performance are provided to corroborate the high quality of the results.Fil: Wielgus, Maciek. Uniwersytet Warszawski; ArgentinaFil: Patorski, Krzysztof. Uniwersytet Warszawski; ArgentinaFil: Etchepareborda, Pablo Gonzalo. Instituto Nacional de Tecnología Industrial. Centro de Electrónica e Informática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Federico, Roque Alejandro. Instituto Nacional de Tecnología Industrial. Centro de Electrónica e Informática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaOptical Society of America2014-05info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/33743Wielgus, Maciek; Etchepareborda, Pablo Gonzalo; Federico, Roque Alejandro; Patorski, Krzysztof; Continuous phase estimation from noisy fringe patterns based on the implicit smoothing splines; Optical Society of America; Optics Express; 22; 9; 5-2014; 10775-107911094-4087CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.osapublishing.org/oe/abstract.cfm?uri=oe-22-9-10775info:eu-repo/semantics/altIdentifier/doi/10.1364/OE.22.010775info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:31:18Zoai:ri.conicet.gov.ar:11336/33743instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 10:31:19.237CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Continuous phase estimation from noisy fringe patterns based on the implicit smoothing splines
title Continuous phase estimation from noisy fringe patterns based on the implicit smoothing splines
spellingShingle Continuous phase estimation from noisy fringe patterns based on the implicit smoothing splines
Wielgus, Maciek
Análisis de franjas
Recuperación de fase
Interferometría de speckle
Metrología
title_short Continuous phase estimation from noisy fringe patterns based on the implicit smoothing splines
title_full Continuous phase estimation from noisy fringe patterns based on the implicit smoothing splines
title_fullStr Continuous phase estimation from noisy fringe patterns based on the implicit smoothing splines
title_full_unstemmed Continuous phase estimation from noisy fringe patterns based on the implicit smoothing splines
title_sort Continuous phase estimation from noisy fringe patterns based on the implicit smoothing splines
dc.creator.none.fl_str_mv Wielgus, Maciek
Patorski, Krzysztof
Etchepareborda, Pablo Gonzalo
Federico, Roque Alejandro
author Wielgus, Maciek
author_facet Wielgus, Maciek
Patorski, Krzysztof
Etchepareborda, Pablo Gonzalo
Federico, Roque Alejandro
author_role author
author2 Patorski, Krzysztof
Etchepareborda, Pablo Gonzalo
Federico, Roque Alejandro
author2_role author
author
author
dc.subject.none.fl_str_mv Análisis de franjas
Recuperación de fase
Interferometría de speckle
Metrología
topic Análisis de franjas
Recuperación de fase
Interferometría de speckle
Metrología
purl_subject.fl_str_mv https://purl.org/becyt/ford/2.2
https://purl.org/becyt/ford/2
dc.description.none.fl_txt_mv We introduce the algorithm for the direct phase estimation from the single noisy interferometric pattern. The method, named implicit smoothing spline (ISS), can be regarded as a formal generalization of the smoothing spline interpolation for the case when the interpolated data is given implicitly. We derive the necessary equations, discuss the properties of the method and address its application for the direct estimation of the continuous phase in both classical interferometry and digital speckle pattern interferometry (DSPI). The numerical illustrations of the algorithm performance are provided to corroborate the high quality of the results.
Fil: Wielgus, Maciek. Uniwersytet Warszawski; Argentina
Fil: Patorski, Krzysztof. Uniwersytet Warszawski; Argentina
Fil: Etchepareborda, Pablo Gonzalo. Instituto Nacional de Tecnología Industrial. Centro de Electrónica e Informática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Federico, Roque Alejandro. Instituto Nacional de Tecnología Industrial. Centro de Electrónica e Informática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
description We introduce the algorithm for the direct phase estimation from the single noisy interferometric pattern. The method, named implicit smoothing spline (ISS), can be regarded as a formal generalization of the smoothing spline interpolation for the case when the interpolated data is given implicitly. We derive the necessary equations, discuss the properties of the method and address its application for the direct estimation of the continuous phase in both classical interferometry and digital speckle pattern interferometry (DSPI). The numerical illustrations of the algorithm performance are provided to corroborate the high quality of the results.
publishDate 2014
dc.date.none.fl_str_mv 2014-05
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/33743
Wielgus, Maciek; Etchepareborda, Pablo Gonzalo; Federico, Roque Alejandro; Patorski, Krzysztof; Continuous phase estimation from noisy fringe patterns based on the implicit smoothing splines; Optical Society of America; Optics Express; 22; 9; 5-2014; 10775-10791
1094-4087
CONICET Digital
CONICET
url http://hdl.handle.net/11336/33743
identifier_str_mv Wielgus, Maciek; Etchepareborda, Pablo Gonzalo; Federico, Roque Alejandro; Patorski, Krzysztof; Continuous phase estimation from noisy fringe patterns based on the implicit smoothing splines; Optical Society of America; Optics Express; 22; 9; 5-2014; 10775-10791
1094-4087
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://www.osapublishing.org/oe/abstract.cfm?uri=oe-22-9-10775
info:eu-repo/semantics/altIdentifier/doi/10.1364/OE.22.010775
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Optical Society of America
publisher.none.fl_str_mv Optical Society of America
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.070432

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