Theoretical evaluation of the impact of finite intervals in the measurement of the bidirectional reflectance distribution function

10 pags., 5 figs. -- Open Access funded by Creative Commons Atribution Licence 4.0

Detalhes bibliográficos
Autor: Ferrero, Alejandro
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2019
País:España
Recursos:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/185800
Acesso em linha:http://hdl.handle.net/10261/185800
Access Level:acceso abierto
Palavra-chave:Reflection
BSDF, BRDF, and BTDF
Scattering measurements
Metrology
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spelling Theoretical evaluation of the impact of finite intervals in the measurement of the bidirectional reflectance distribution functionFerrero, AlejandroReflectionBSDF, BRDF, and BTDFScattering measurementsMetrology10 pags., 5 figs. -- Open Access funded by Creative Commons Atribution Licence 4.0The bidirectional reflectance distribution function (BRDF) is a well-defined quantity that allows the bidirectional reflectance of surfaces to be described. However, the light propagation in a specific direction cannot be perfectly realized in practice, because the physical apertures are not infinitesimal but finite. Consequently, a BRDF measurement cannot be considered fully bidirectional, although the measure coincides with the BRDF within a certain confidence level. To properly understand the impact of the finite apertures on the BRDF measures, the deviation between the real BRDF and the BRDF to be obtained using real experimental conditions with finite apertures was theoretically studied for surfaces with realistic BRDFs. The biconical reflectance factor was used to estimate these ‘‘measured BRDFs’’ in different geometrical conditions, and a family of negative exponential functions was defined to assess the impact on surfaces with different angular scattering distributions. An expression for estimating the relative error from finite apertures is given, which considers the angular variation of the BRDF and the different solid angles involved in the measurement.The funding for this was obtained from EURAMET and the European Union (16NRM08 Project BiRD), and Comunidad de Madrid (S2013/ MIT-2790). The author is also grateful to Comunidad de Madrid for funding the project SINFOTON-CM: S2013/MIT-2790.Peer reviewedSpringer NatureEuropean CommissionComunidad de MadridSCOAPFerrero, Alejandro [0000-0003-2633-3906]Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]201920192019info:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_6501Publisher's versioninfo:eu-repo/semantics/publishedVersionhttp://hdl.handle.net/10261/185800reponame:DIGITAL.CSIC. Repositorio Institucional del CSICinstname:Consejo Superior de Investigaciones Científicas (CSIC)Inglés#PLACEHOLDER_PARENT_METADATA_VALUE#S2013/MIT-2790/SINFOTON-CMhttp://doi.org/10.1007/s11998-019-00241-2Síinfo:eu-repo/semantics/openAccessoai:digital.csic.es:10261/1858002026-05-22T06:33:51Z
dc.title.none.fl_str_mv Theoretical evaluation of the impact of finite intervals in the measurement of the bidirectional reflectance distribution function
title Theoretical evaluation of the impact of finite intervals in the measurement of the bidirectional reflectance distribution function
spellingShingle Theoretical evaluation of the impact of finite intervals in the measurement of the bidirectional reflectance distribution function
Ferrero, Alejandro
Reflection
BSDF, BRDF, and BTDF
Scattering measurements
Metrology
title_short Theoretical evaluation of the impact of finite intervals in the measurement of the bidirectional reflectance distribution function
title_full Theoretical evaluation of the impact of finite intervals in the measurement of the bidirectional reflectance distribution function
title_fullStr Theoretical evaluation of the impact of finite intervals in the measurement of the bidirectional reflectance distribution function
title_full_unstemmed Theoretical evaluation of the impact of finite intervals in the measurement of the bidirectional reflectance distribution function
title_sort Theoretical evaluation of the impact of finite intervals in the measurement of the bidirectional reflectance distribution function
dc.creator.none.fl_str_mv Ferrero, Alejandro
author Ferrero, Alejandro
author_facet Ferrero, Alejandro
author_role author
dc.contributor.none.fl_str_mv European Commission
Comunidad de Madrid
SCOAP
Ferrero, Alejandro [0000-0003-2633-3906]
Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]
dc.subject.none.fl_str_mv Reflection
BSDF, BRDF, and BTDF
Scattering measurements
Metrology
topic Reflection
BSDF, BRDF, and BTDF
Scattering measurements
Metrology
description 10 pags., 5 figs. -- Open Access funded by Creative Commons Atribution Licence 4.0
publishDate 2019
dc.date.none.fl_str_mv 2019
2019
2019
dc.type.none.fl_str_mv info:eu-repo/semantics/article
http://purl.org/coar/resource_type/c_6501
Publisher's version
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10261/185800
url http://hdl.handle.net/10261/185800
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv #PLACEHOLDER_PARENT_METADATA_VALUE#
S2013/MIT-2790/SINFOTON-CM
http://doi.org/10.1007/s11998-019-00241-2
Sí
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Springer Nature
publisher.none.fl_str_mv Springer Nature
dc.source.none.fl_str_mv reponame:DIGITAL.CSIC. Repositorio Institucional del CSIC
instname:Consejo Superior de Investigaciones Científicas (CSIC)
instname_str Consejo Superior de Investigaciones Científicas (CSIC)
reponame_str DIGITAL.CSIC. Repositorio Institucional del CSIC
collection DIGITAL.CSIC. Repositorio Institucional del CSIC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,811543

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