A symbolic-numeric approach for parametrizing ruled surfaces

This paper presents symbolic algorithms to determine whether a given surface (implicitly or parametrically defined) is a rational ruled surface and find a proper parametrization of the ruled surface. However, in practical applications, one has to deal with numerical objects that are given approximat...

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Detalles Bibliográficos
Autores: Pérez Díaz, Sonia|||0000-0002-0174-5325, Shen, Li-Yong
Tipo de recurso: artículo
Fecha de publicación:2020
País:España
Institución:Universidad de Alcalá (UAH)
Repositorio:e_Buah Biblioteca Digital Universidad de Alcalá
Idioma:inglés
OAI Identifier:oai:ebuah.uah.es:10017/41546
Acceso en línea:http://hdl.handle.net/10017/41546
https://dx.doi.org/10.1007/s11424-019-8188-y
Access Level:acceso abierto
Palabra clave:Ruled surface
Standard parametrization
Implicit representation
Numeric algorithm
Matemáticas
Mathematics
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spelling A symbolic-numeric approach for parametrizing ruled surfacesPérez Díaz, Sonia|||0000-0002-0174-5325Shen, Li-YongRuled surfaceStandard parametrizationImplicit representationNumeric algorithmMatemáticasMathematicsThis paper presents symbolic algorithms to determine whether a given surface (implicitly or parametrically defined) is a rational ruled surface and find a proper parametrization of the ruled surface. However, in practical applications, one has to deal with numerical objects that are given approximately, probably because they proceed from an exact data that has been perturbed under some previous measuring process or manipulation. For these numerical objects, the authors adapt the symbolic algorithms presented by means of the use of numerical techniques. The authors develop numeric algorithms that allow to determine ruled surfaces "close" to an input (not necessarily ruled) surface, and the distance between the input and the output surface is computed.Agencia Estatal de InvestigaciónNational Natural Science Foundation of ChinaSpringer Verlag20202020-01-0320202020-01-0320212021-01-03journal articlehttp://purl.org/coar/resource_type/c_6501NAhttp://purl.org/coar/version/c_be7fb7dd8ff6fe43info:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10017/41546https://dx.doi.org/10.1007/s11424-019-8188-yreponame:e_Buah Biblioteca Digital Universidad de Alcaláinstname:Universidad de Alcalá (UAH)InglésengAgencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016 MTM2017-88796-P Computación simbólica: nuevos retos en algebra y geometría y sus aplicacionesNSFC Not available Grant 61872332open accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:ebuah.uah.es:10017/415462026-06-18T11:13:07Z
dc.title.none.fl_str_mv A symbolic-numeric approach for parametrizing ruled surfaces
title A symbolic-numeric approach for parametrizing ruled surfaces
spellingShingle A symbolic-numeric approach for parametrizing ruled surfaces
Pérez Díaz, Sonia|||0000-0002-0174-5325
Ruled surface
Standard parametrization
Implicit representation
Numeric algorithm
Matemáticas
Mathematics
title_short A symbolic-numeric approach for parametrizing ruled surfaces
title_full A symbolic-numeric approach for parametrizing ruled surfaces
title_fullStr A symbolic-numeric approach for parametrizing ruled surfaces
title_full_unstemmed A symbolic-numeric approach for parametrizing ruled surfaces
title_sort A symbolic-numeric approach for parametrizing ruled surfaces
dc.creator.none.fl_str_mv Pérez Díaz, Sonia|||0000-0002-0174-5325
Shen, Li-Yong
author Pérez Díaz, Sonia|||0000-0002-0174-5325
author_facet Pérez Díaz, Sonia|||0000-0002-0174-5325
Shen, Li-Yong
author_role author
author2 Shen, Li-Yong
author2_role author
dc.subject.none.fl_str_mv Ruled surface
Standard parametrization
Implicit representation
Numeric algorithm
Matemáticas
Mathematics
topic Ruled surface
Standard parametrization
Implicit representation
Numeric algorithm
Matemáticas
Mathematics
description This paper presents symbolic algorithms to determine whether a given surface (implicitly or parametrically defined) is a rational ruled surface and find a proper parametrization of the ruled surface. However, in practical applications, one has to deal with numerical objects that are given approximately, probably because they proceed from an exact data that has been perturbed under some previous measuring process or manipulation. For these numerical objects, the authors adapt the symbolic algorithms presented by means of the use of numerical techniques. The authors develop numeric algorithms that allow to determine ruled surfaces "close" to an input (not necessarily ruled) surface, and the distance between the input and the output surface is computed.
publishDate 2020
dc.date.none.fl_str_mv 2020
2020-01-03
2020
2020-01-03
2021
2021-01-03
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
NA
http://purl.org/coar/version/c_be7fb7dd8ff6fe43
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv http://hdl.handle.net/10017/41546
https://dx.doi.org/10.1007/s11424-019-8188-y
url http://hdl.handle.net/10017/41546
https://dx.doi.org/10.1007/s11424-019-8188-y
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Agencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016 MTM2017-88796-P Computación simbólica: nuevos retos en algebra y geometría y sus aplicaciones
NSFC Not available Grant 61872332
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Springer Verlag
publisher.none.fl_str_mv Springer Verlag
dc.source.none.fl_str_mv reponame:e_Buah Biblioteca Digital Universidad de Alcalá
instname:Universidad de Alcalá (UAH)
instname_str Universidad de Alcalá (UAH)
reponame_str e_Buah Biblioteca Digital Universidad de Alcalá
collection e_Buah Biblioteca Digital Universidad de Alcalá
repository.name.fl_str_mv
repository.mail.fl_str_mv
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