Determination and (re)parametrization of rational developable surfaces

The developable surface is an important surface in computer aided design, geometric modeling and industrial manufactory. It is often given in the standard parametric form, but it can also be in the implicit form which is commonly used in algebraic geometry. Not all algebraic developable surfaces hav...

Descripción completa

Detalles Bibliográficos
Autores: Shen, Li-Yong, Pérez Díaz, Sonia|||0000-0002-0174-5325
Tipo de recurso: artículo
Fecha de publicación:2015
País:España
Institución:Universidad de Alcalá (UAH)
Repositorio:e_Buah Biblioteca Digital Universidad de Alcalá
Idioma:inglés
OAI Identifier:oai:ebuah.uah.es:10017/49754
Acceso en línea:http://hdl.handle.net/10017/49754
https://dx.doi.org/10.1007/s11424-015-3119-z
Access Level:acceso abierto
Palabra clave:Parametrization
Proper
Rational developable surface
Reparametrization
Matemáticas
Mathematics
id ES_80f7a6b5d5f4d2f3634fbfbf1323aba5
oai_identifier_str oai:ebuah.uah.es:10017/49754
network_acronym_str ES
network_name_str España
repository_id_str
spelling Determination and (re)parametrization of rational developable surfacesShen, Li-YongPérez Díaz, Sonia|||0000-0002-0174-5325ParametrizationProperRational developable surfaceReparametrizationMatemáticasMathematicsThe developable surface is an important surface in computer aided design, geometric modeling and industrial manufactory. It is often given in the standard parametric form, but it can also be in the implicit form which is commonly used in algebraic geometry. Not all algebraic developable surfaces have rational parametrizations. In this paper, the authors focus on the rational developable surfaces. For a given algebraic surface, the authors first determine whether it is developable by geometric inspection, and then give a rational proper parametrization in the affirmative case. For a rational parametric surface, the authors also determine the developability and give a proper reparametrization for the developable surface.Springer20152015-05-27journal articlehttp://purl.org/coar/resource_type/c_6501NAhttp://purl.org/coar/version/c_be7fb7dd8ff6fe43info:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10017/49754https://dx.doi.org/10.1007/s11424-015-3119-zreponame:e_Buah Biblioteca Digital Universidad de Alcaláinstname:Universidad de Alcalá (UAH)Inglésengopen 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:10017/497542026-06-18T11:13:07Z
dc.title.none.fl_str_mv Determination and (re)parametrization of rational developable surfaces
title Determination and (re)parametrization of rational developable surfaces
spellingShingle Determination and (re)parametrization of rational developable surfaces
Shen, Li-Yong
Parametrization
Proper
Rational developable surface
Reparametrization
Matemáticas
Mathematics
title_short Determination and (re)parametrization of rational developable surfaces
title_full Determination and (re)parametrization of rational developable surfaces
title_fullStr Determination and (re)parametrization of rational developable surfaces
title_full_unstemmed Determination and (re)parametrization of rational developable surfaces
title_sort Determination and (re)parametrization of rational developable surfaces
dc.creator.none.fl_str_mv Shen, Li-Yong
Pérez Díaz, Sonia|||0000-0002-0174-5325
author Shen, Li-Yong
author_facet Shen, Li-Yong
Pérez Díaz, Sonia|||0000-0002-0174-5325
author_role author
author2 Pérez Díaz, Sonia|||0000-0002-0174-5325
author2_role author
dc.subject.none.fl_str_mv Parametrization
Proper
Rational developable surface
Reparametrization
Matemáticas
Mathematics
topic Parametrization
Proper
Rational developable surface
Reparametrization
Matemáticas
Mathematics
description The developable surface is an important surface in computer aided design, geometric modeling and industrial manufactory. It is often given in the standard parametric form, but it can also be in the implicit form which is commonly used in algebraic geometry. Not all algebraic developable surfaces have rational parametrizations. In this paper, the authors focus on the rational developable surfaces. For a given algebraic surface, the authors first determine whether it is developable by geometric inspection, and then give a rational proper parametrization in the affirmative case. For a rational parametric surface, the authors also determine the developability and give a proper reparametrization for the developable surface.
publishDate 2015
dc.date.none.fl_str_mv 2015
2015-05-27
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/10017/49754
https://dx.doi.org/10.1007/s11424-015-3119-z
url http://hdl.handle.net/10017/49754
https://dx.doi.org/10.1007/s11424-015-3119-z
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
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
publisher.none.fl_str_mv Springer
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
_version_ 1869411939145220096
score 15.300719

Similares en LA Referencia