On the shape of curves that are rational in polar coordinates

In this paper we provide a computational approach to the shape of curves which are rational in polar coordinates, i.e. which are defined by means of a parametrization (r(t),θ(t)) where both r(t), θ(t) are rational functions. Our study includes theoretical aspects on the shape of these curves, and al...

Descripción completa

Detalles Bibliográficos
Autores: Alcázar Arribas, Juan Gerardo, Díaz Toca, Gema María
Tipo de recurso: artículo
Fecha de publicación:2012
País:España
Institución:Universidad de Cantabria (UC)
Repositorio:UCrea Repositorio Abierto de la Universidad de Cantabria
Idioma:inglés
OAI Identifier:oai:repositorio.unican.es:10902/5303
Acceso en línea:http://hdl.handle.net/10902/5303
Access Level:acceso abierto
Palabra clave:Rational curves
Polar coordinates
id ES_f071300291ae96d00fcb03e9eeb46992
oai_identifier_str oai:repositorio.unican.es:10902/5303
network_acronym_str ES
network_name_str España
repository_id_str
spelling On the shape of curves that are rational in polar coordinatesAlcázar Arribas, Juan GerardoDíaz Toca, Gema MaríaRational curvesPolar coordinatesIn this paper we provide a computational approach to the shape of curves which are rational in polar coordinates, i.e. which are defined by means of a parametrization (r(t),θ(t)) where both r(t), θ(t) are rational functions. Our study includes theoretical aspects on the shape of these curves, and algorithmic results which eventually lead to an algorithm for plotting the “interesting parts” of the curve, i.e. the parts showing the main geometrical features.ElsevierUniversidad de Cantabria20122012-12-01journal articlehttp://purl.org/coar/resource_type/c_6501NAhttp://purl.org/coar/version/c_be7fb7dd8ff6fe43info:eu-repo/semantics/articlehttp://hdl.handle.net/10902/5303Computer Aided Geometric Design, Vol. 29, Iss. 9, Pp. 665–675, (2012)reponame:UCrea Repositorio Abierto de la Universidad de Cantabriainstname:Universidad de Cantabria (UC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:repositorio.unican.es:10902/53032026-06-02T12:39:31Z
dc.title.none.fl_str_mv On the shape of curves that are rational in polar coordinates
title On the shape of curves that are rational in polar coordinates
spellingShingle On the shape of curves that are rational in polar coordinates
Alcázar Arribas, Juan Gerardo
Rational curves
Polar coordinates
title_short On the shape of curves that are rational in polar coordinates
title_full On the shape of curves that are rational in polar coordinates
title_fullStr On the shape of curves that are rational in polar coordinates
title_full_unstemmed On the shape of curves that are rational in polar coordinates
title_sort On the shape of curves that are rational in polar coordinates
dc.creator.none.fl_str_mv Alcázar Arribas, Juan Gerardo
Díaz Toca, Gema María
author Alcázar Arribas, Juan Gerardo
author_facet Alcázar Arribas, Juan Gerardo
Díaz Toca, Gema María
author_role author
author2 Díaz Toca, Gema María
author2_role author
dc.contributor.none.fl_str_mv Universidad de Cantabria
dc.subject.none.fl_str_mv Rational curves
Polar coordinates
topic Rational curves
Polar coordinates
description In this paper we provide a computational approach to the shape of curves which are rational in polar coordinates, i.e. which are defined by means of a parametrization (r(t),θ(t)) where both r(t), θ(t) are rational functions. Our study includes theoretical aspects on the shape of these curves, and algorithmic results which eventually lead to an algorithm for plotting the “interesting parts” of the curve, i.e. the parts showing the main geometrical features.
publishDate 2012
dc.date.none.fl_str_mv 2012
2012-12-01
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/10902/5303
url http://hdl.handle.net/10902/5303
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
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
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv Computer Aided Geometric Design, Vol. 29, Iss. 9, Pp. 665–675, (2012)
reponame:UCrea Repositorio Abierto de la Universidad de Cantabria
instname:Universidad de Cantabria (UC)
instname_str Universidad de Cantabria (UC)
reponame_str UCrea Repositorio Abierto de la Universidad de Cantabria
collection UCrea Repositorio Abierto de la Universidad de Cantabria
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869423956474200064
score 15,301603

Similares en LA Referencia