Software using the Gröbner Cover for geometrical loci computation and classification

We describe here a properly recent application of the Gröbner Cover algorithm (GC) providing an algebraic support to Dynamic Geometry computations of geometrical loci. It provides a complete algebraic solution of locus computation as well as a suitable taxonomy allowing to distinguish the nature of...

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Bibliographic Details
Authors: Abánades Astudillo, Miguel Ángel, Botana Ferreiro, Francisco Ramón|||0000-0002-0212-6470, Montes, Antonio, Recio Muñiz, Tomás|||0000-0002-1011-295X
Format: article
Publication Date:2014
Country:España
Institution:Universidad de Cantabria (UC)
Repository:UCrea Repositorio Abierto de la Universidad de Cantabria
Language:English
OAI Identifier:oai:repositorio.unican.es:10902/5391
Online Access:http://hdl.handle.net/10902/5391
Access Level:Open access
Keyword:Locus
Taxonomy
Dynamical Geometry
Groebner Cover
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spelling Software using the Gröbner Cover for geometrical loci computation and classificationAbánades Astudillo, Miguel ÁngelBotana Ferreiro, Francisco Ramón|||0000-0002-0212-6470Montes, AntonioRecio Muñiz, Tomás|||0000-0002-1011-295XLocusTaxonomyDynamical GeometryGroebner CoverWe describe here a properly recent application of the Gröbner Cover algorithm (GC) providing an algebraic support to Dynamic Geometry computations of geometrical loci. It provides a complete algebraic solution of locus computation as well as a suitable taxonomy allowing to distinguish the nature of the different components. We included a new algorithm Locus into the Singular grobcov.lib library for this purpose. A web prototype has been implemented using it in Geogebra.Springer Berlin HeidelbergUniversidad de Cantabria20142014-01-01journal articlehttp://purl.org/coar/resource_type/c_6501NAhttp://purl.org/coar/version/c_be7fb7dd8ff6fe43info:eu-repo/semantics/articlehttp://hdl.handle.net/10902/5391Lecture Notes in Computer Science, Vol. 8592, pp 492-499, (2014)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:10902/53912026-06-02T12:39:31Z
dc.title.none.fl_str_mv Software using the Gröbner Cover for geometrical loci computation and classification
title Software using the Gröbner Cover for geometrical loci computation and classification
spellingShingle Software using the Gröbner Cover for geometrical loci computation and classification
Abánades Astudillo, Miguel Ángel
Locus
Taxonomy
Dynamical Geometry
Groebner Cover
title_short Software using the Gröbner Cover for geometrical loci computation and classification
title_full Software using the Gröbner Cover for geometrical loci computation and classification
title_fullStr Software using the Gröbner Cover for geometrical loci computation and classification
title_full_unstemmed Software using the Gröbner Cover for geometrical loci computation and classification
title_sort Software using the Gröbner Cover for geometrical loci computation and classification
dc.creator.none.fl_str_mv Abánades Astudillo, Miguel Ángel
Botana Ferreiro, Francisco Ramón|||0000-0002-0212-6470
Montes, Antonio
Recio Muñiz, Tomás|||0000-0002-1011-295X
author Abánades Astudillo, Miguel Ángel
author_facet Abánades Astudillo, Miguel Ángel
Botana Ferreiro, Francisco Ramón|||0000-0002-0212-6470
Montes, Antonio
Recio Muñiz, Tomás|||0000-0002-1011-295X
author_role author
author2 Botana Ferreiro, Francisco Ramón|||0000-0002-0212-6470
Montes, Antonio
Recio Muñiz, Tomás|||0000-0002-1011-295X
author2_role author
author
author
dc.contributor.none.fl_str_mv Universidad de Cantabria
dc.subject.none.fl_str_mv Locus
Taxonomy
Dynamical Geometry
Groebner Cover
topic Locus
Taxonomy
Dynamical Geometry
Groebner Cover
description We describe here a properly recent application of the Gröbner Cover algorithm (GC) providing an algebraic support to Dynamic Geometry computations of geometrical loci. It provides a complete algebraic solution of locus computation as well as a suitable taxonomy allowing to distinguish the nature of the different components. We included a new algorithm Locus into the Singular grobcov.lib library for this purpose. A web prototype has been implemented using it in Geogebra.
publishDate 2014
dc.date.none.fl_str_mv 2014
2014-01-01
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/10902/5391
url http://hdl.handle.net/10902/5391
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 Springer Berlin Heidelberg
publisher.none.fl_str_mv Springer Berlin Heidelberg
dc.source.none.fl_str_mv Lecture Notes in Computer Science, Vol. 8592, pp 492-499, (2014)
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
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score 15,301603

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