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Software using the Gröbner cover for geometrical loci computation and classification
| dc.contributor.author | Abanades, Miguel A. |
| dc.contributor.author | Botan, Francisco |
| dc.contributor.author | Montes Lozano, Antonio |
| dc.contributor.author | Recio Muñiz, Tomás |
| dc.date.accessioned | 2014-09-26T08:32:28Z |
| dc.date.created | 2014 |
| dc.date.issued | 2014 |
| dc.identifier.citation | Abanades, M. [et al.]. Software using the Gröbner cover for geometrical loci computation and classification. A: International Congress on Mathematical Software. "Mathematical Software : ICMS 2014 : 4th International Congress, Seoul, South Korea, August 5-9, 2014 : Proceedings". Seoul: 2014, p. 492-499. |
| dc.identifier.isbn | 978-366244198-5 |
| dc.identifier.uri | http://hdl.handle.net/2117/24171 |
| dc.description.abstract | 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. |
| dc.format.extent | 8 p. |
| dc.language.iso | eng |
| dc.subject | Àrees temàtiques de la UPC::Informàtica::Intel·ligència artificial |
| dc.subject.lcsh | Computational geometry |
| dc.subject.other | Dynamical geometry |
| dc.subject.other | Groebner cover |
| dc.subject.other | Locus |
| dc.subject.other | Taxonomy |
| dc.title | Software using the Gröbner cover for geometrical loci computation and classification |
| dc.type | Conference report |
| dc.subject.lemac | Geometria computacional |
| dc.contributor.group | Universitat Politècnica de Catalunya. DCCG - Grup de recerca en geometria computacional, combinatoria i discreta |
| dc.identifier.doi | 10.1007/978-3-662-44199-2_74 |
| dc.description.peerreviewed | Peer Reviewed |
| dc.relation.publisherversion | http://link.springer.com/chapter/10.1007%2F978-3-662-44199-2_74 |
| dc.rights.access | Restricted access - publisher's policy |
| local.identifier.drac | 15177605 |
| dc.description.version | Postprint (published version) |
| dc.date.lift | 10000-01-01 |
| local.citation.author | Abanades, M.; Botan, F.; Montes, A.; Tomás, R. |
| local.citation.contributor | International Congress on Mathematical Software |
| local.citation.pubplace | Seoul |
| local.citation.publicationName | Mathematical Software : ICMS 2014 : 4th International Congress, Seoul, South Korea, August 5-9, 2014 : Proceedings |
| local.citation.startingPage | 492 |
| local.citation.endingPage | 499 |