Description of dental arch form using the Fourier series

The aim of this study was to describe the form of the human superior dental arch using Fourier transformations. Forty models made in dental stone from impressions of the maxillary dental arch were used to obtain the reference data, which were expressed in Cartesian coordinates, from the mesovestibul...

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Autores:
Valenzuela, A. Patricia
Pardo, Marco A.
Yezioro, Salomon
Tipo de recurso:
https://purl.org/coar/resource_type/c_6501
Fecha de publicación:
2002
Institución:
Universidad El Bosque
Repositorio:
Repositorio U. El Bosque
Idioma:
eng
OAI Identifier:
oai:repositorio.unbosque.edu.co:20.500.12495/5281
Acceso en línea:
https://hdl.handle.net/20.500.12495/5281
Palabra clave:
Dental arch
Reproducibility of results
Dental models
Rights
License
Acceso abierto
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oai_identifier_str oai:repositorio.unbosque.edu.co:20.500.12495/5281
network_acronym_str UNBOSQUE2
network_name_str Repositorio U. El Bosque
repository_id_str
dc.title.spa.fl_str_mv Description of dental arch form using the Fourier series
dc.title.translated.spa.fl_str_mv Description of dental arch form using the Fourier series
title Description of dental arch form using the Fourier series
spellingShingle Description of dental arch form using the Fourier series
Dental arch
Reproducibility of results
Dental models
title_short Description of dental arch form using the Fourier series
title_full Description of dental arch form using the Fourier series
title_fullStr Description of dental arch form using the Fourier series
title_full_unstemmed Description of dental arch form using the Fourier series
title_sort Description of dental arch form using the Fourier series
dc.creator.fl_str_mv Valenzuela, A. Patricia
Pardo, Marco A.
Yezioro, Salomon
dc.contributor.author.none.fl_str_mv Valenzuela, A. Patricia
Pardo, Marco A.
Yezioro, Salomon
dc.subject.keywords.none.fl_str_mv Dental arch
Reproducibility of results
Dental models
topic Dental arch
Reproducibility of results
Dental models
description The aim of this study was to describe the form of the human superior dental arch using Fourier transformations. Forty models made in dental stone from impressions of the maxillary dental arch were used to obtain the reference data, which were expressed in Cartesian coordinates, from the mesovestibular cuspid vertices of molar teeth, vestibular cuspid of premolars, and incisal edge. Fourth-grade equations and Fourier series were calculated from these data. The results indicate that Fourier series more precisely express the form and size of different dental arches, with mixed or permanent dentition, than fourth-grade equations. Details of the mathematical procedure and the precision obtained were provided.
publishDate 2002
dc.date.issued.none.fl_str_mv 2002
dc.date.accessioned.none.fl_str_mv 2021-02-09T17:34:05Z
dc.date.available.none.fl_str_mv 2021-02-09T17:34:05Z
dc.type.coar.fl_str_mv http://purl.org/coar/resource_type/c_2df8fbb1
dc.type.coarversion.fl_str_mv http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.local.none.fl_str_mv Artículo de revista
dc.type.coar.none.fl_str_mv https://purl.org/coar/resource_type/c_6501
dc.type.driver.none.fl_str_mv info:eu-repo/semantics/article
format https://purl.org/coar/resource_type/c_6501
dc.identifier.issn.none.fl_str_mv 0742-1931
dc.identifier.uri.none.fl_str_mv https://hdl.handle.net/20.500.12495/5281
dc.identifier.instname.spa.fl_str_mv instname:Universidad El Bosque
dc.identifier.reponame.spa.fl_str_mv reponame:Repositorio Institucional Universidad El Bosque
dc.identifier.repourl.none.fl_str_mv repourl:https://repositorio.unbosque.edu.co
identifier_str_mv 0742-1931
instname:Universidad El Bosque
reponame:Repositorio Institucional Universidad El Bosque
repourl:https://repositorio.unbosque.edu.co
url https://hdl.handle.net/20.500.12495/5281
dc.language.iso.none.fl_str_mv eng
language eng
dc.relation.ispartofseries.spa.fl_str_mv The International journal of adult orthodontics and orthognathic surgery, 0742-1931, Vol. 17, No. 1, 2002, p. 5
dc.relation.uri.none.fl_str_mv https://pubmed.ncbi.nlm.nih.gov/11934057/
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.local.spa.fl_str_mv Acceso abierto
dc.rights.accessrights.none.fl_str_mv https://purl.org/coar/access_right/c_abf2
Acceso abierto
dc.rights.creativecommons.none.fl_str_mv 2002
rights_invalid_str_mv Acceso abierto
https://purl.org/coar/access_right/c_abf2
2002
http://purl.org/coar/access_right/c_abf2
dc.format.mimetype.none.fl_str_mv application/pdf
dc.publisher.spa.fl_str_mv PubMed
dc.publisher.journal.spa.fl_str_mv The International journal of adult orthodontics and orthognathic surgery
institution Universidad El Bosque
bitstream.url.fl_str_mv https://pruebas-update-repositorio-unbosque.cloudbiteca.com/bitstreams/972e1ef8-8cda-4914-accd-fea403640ee0/download
bitstream.checksum.fl_str_mv 8a4605be74aa9ea9d79846c1fba20a33
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repository.name.fl_str_mv Repositorio Institucional Universidad El Bosque
repository.mail.fl_str_mv bibliotecas@biteca.com
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spelling Valenzuela, A. PatriciaPardo, Marco A.Yezioro, Salomon2021-02-09T17:34:05Z2021-02-09T17:34:05Z20020742-1931https://hdl.handle.net/20.500.12495/5281instname:Universidad El Bosquereponame:Repositorio Institucional Universidad El Bosquerepourl:https://repositorio.unbosque.edu.coapplication/pdfengPubMedThe International journal of adult orthodontics and orthognathic surgeryThe International journal of adult orthodontics and orthognathic surgery, 0742-1931, Vol. 17, No. 1, 2002, p. 5https://pubmed.ncbi.nlm.nih.gov/11934057/Description of dental arch form using the Fourier seriesDescription of dental arch form using the Fourier seriesArtículo de revistahttps://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1info:eu-repo/semantics/articlehttp://purl.org/coar/version/c_970fb48d4fbd8a85Dental archReproducibility of resultsDental modelsThe aim of this study was to describe the form of the human superior dental arch using Fourier transformations. Forty models made in dental stone from impressions of the maxillary dental arch were used to obtain the reference data, which were expressed in Cartesian coordinates, from the mesovestibular cuspid vertices of molar teeth, vestibular cuspid of premolars, and incisal edge. Fourth-grade equations and Fourier series were calculated from these data. The results indicate that Fourier series more precisely express the form and size of different dental arches, with mixed or permanent dentition, than fourth-grade equations. Details of the mathematical procedure and the precision obtained were provided.Acceso abiertohttps://purl.org/coar/access_right/c_abf2Acceso abierto2002http://purl.org/coar/access_right/c_abf2LICENSElicense.txtlicense.txttext/plain; charset=utf-81748https://pruebas-update-repositorio-unbosque.cloudbiteca.com/bitstreams/972e1ef8-8cda-4914-accd-fea403640ee0/download8a4605be74aa9ea9d79846c1fba20a33MD52falseAnonymousREAD20.500.12495/5281oai:pruebas-update-repositorio-unbosque.cloudbiteca.com:20.500.12495/52812022-05-05T19:54:47.737Zmetadata.onlyhttps://pruebas-update-repositorio-unbosque.cloudbiteca.comRepositorio Institucional Universidad El Bosquebibliotecas@biteca.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