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...
- 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:repositorio.unbosque.edu.co:20.500.12495/5281 |
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Repositorio U. El Bosque |
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| 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 |
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2021-02-09T17:34:05Z |
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http://purl.org/coar/resource_type/c_2df8fbb1 |
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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 |
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info:eu-repo/semantics/article |
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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 |
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instname:Universidad El Bosque |
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reponame:Repositorio Institucional Universidad El Bosque |
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repourl:https://repositorio.unbosque.edu.co |
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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 |
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Acceso abierto |
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https://purl.org/coar/access_right/c_abf2 Acceso abierto |
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2002 |
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Acceso abierto https://purl.org/coar/access_right/c_abf2 2002 http://purl.org/coar/access_right/c_abf2 |
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application/pdf |
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PubMed |
| dc.publisher.journal.spa.fl_str_mv |
The International journal of adult orthodontics and orthognathic surgery |
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Universidad El Bosque |
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https://pruebas-update-repositorio-unbosque.cloudbiteca.com/bitstreams/972e1ef8-8cda-4914-accd-fea403640ee0/download |
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Repositorio Institucional Universidad El Bosque |
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1849967131846770688 |
| 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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 |
