Analysis and construction of rational curve parametrizations with non-ordinary singularities

In this paper, we provide a method that allows to construct parametric curves having (or not) non-ordinary singularities and having (or not) neighboring points. This method is based on a characterization of the non-ordinary singularities and neighboring points by means of linear equations involving...

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Detalhes bibliográficos
Autor: Pérez Díaz, Sonia|||0000-0002-0174-5325
Formato: artículo
Fecha de publicación:2018
País:España
Recursos:Universidad de Alcalá (UAH)
Repositorio:e_Buah Biblioteca Digital Universidad de Alcalá
Idioma:inglés
OAI Identifier:oai:ebuah.uah.es:10017/49541
Acesso em linha:http://hdl.handle.net/10017/49541
https://dx.doi.org/10.1016/j.cagd.2018.08.002
Access Level:acceso abierto
Palavra-chave:Rational curve parametrization
Algebraic curve
Singularities of an algebraic curve
Non-ordinary singularity
Matemáticas
Mathematics
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spelling Analysis and construction of rational curve parametrizations with non-ordinary singularitiesPérez Díaz, Sonia|||0000-0002-0174-5325Rational curve parametrizationAlgebraic curveSingularities of an algebraic curveNon-ordinary singularityMatemáticasMathematicsIn this paper, we provide a method that allows to construct parametric curves having (or not) non-ordinary singularities and having (or not) neighboring points. This method is based on a characterization of the non-ordinary singularities and neighboring points by means of linear equations involving the given parametrization. As a consequence, we obtain an algorithm that constructs a parametrization which contains a given point, P, as a singularity as well as some additional information as for instance, the order of P, parameters corresponding to P, multiplicity of each parameter and the singularities in the first neighborhood of the singularity P.Agencia Estatal de InvestigaciónElsevier20182018-09-03journal articlehttp://purl.org/coar/resource_type/c_6501NAhttp://purl.org/coar/version/c_be7fb7dd8ff6fe43info:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10017/49541https://dx.doi.org/10.1016/j.cagd.2018.08.002reponame: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 COMPUTACION SIMBOLICA: NUEVOS RETOS EN ALGEBRA Y GEOMETRIA Y SUS APLICACIONESopen 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:10017/495412026-06-18T11:13:07Z
dc.title.none.fl_str_mv Analysis and construction of rational curve parametrizations with non-ordinary singularities
title Analysis and construction of rational curve parametrizations with non-ordinary singularities
spellingShingle Analysis and construction of rational curve parametrizations with non-ordinary singularities
Pérez Díaz, Sonia|||0000-0002-0174-5325
Rational curve parametrization
Algebraic curve
Singularities of an algebraic curve
Non-ordinary singularity
Matemáticas
Mathematics
title_short Analysis and construction of rational curve parametrizations with non-ordinary singularities
title_full Analysis and construction of rational curve parametrizations with non-ordinary singularities
title_fullStr Analysis and construction of rational curve parametrizations with non-ordinary singularities
title_full_unstemmed Analysis and construction of rational curve parametrizations with non-ordinary singularities
title_sort Analysis and construction of rational curve parametrizations with non-ordinary singularities
dc.creator.none.fl_str_mv Pérez Díaz, Sonia|||0000-0002-0174-5325
author Pérez Díaz, Sonia|||0000-0002-0174-5325
author_facet Pérez Díaz, Sonia|||0000-0002-0174-5325
author_role author
dc.subject.none.fl_str_mv Rational curve parametrization
Algebraic curve
Singularities of an algebraic curve
Non-ordinary singularity
Matemáticas
Mathematics
topic Rational curve parametrization
Algebraic curve
Singularities of an algebraic curve
Non-ordinary singularity
Matemáticas
Mathematics
description In this paper, we provide a method that allows to construct parametric curves having (or not) non-ordinary singularities and having (or not) neighboring points. This method is based on a characterization of the non-ordinary singularities and neighboring points by means of linear equations involving the given parametrization. As a consequence, we obtain an algorithm that constructs a parametrization which contains a given point, P, as a singularity as well as some additional information as for instance, the order of P, parameters corresponding to P, multiplicity of each parameter and the singularities in the first neighborhood of the singularity P.
publishDate 2018
dc.date.none.fl_str_mv 2018
2018-09-03
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/10017/49541
https://dx.doi.org/10.1016/j.cagd.2018.08.002
url http://hdl.handle.net/10017/49541
https://dx.doi.org/10.1016/j.cagd.2018.08.002
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 COMPUTACION SIMBOLICA: NUEVOS RETOS EN ALGEBRA Y GEOMETRIA Y SUS APLICACIONES
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 Elsevier
publisher.none.fl_str_mv Elsevier
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
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