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Title:
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Software using the Gröbner cover for geometrical loci computation and classification
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Author:
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Abanades, Miguel A.; Botan, Francisco; Montes Lozano, Antonio; Recio Muñiz, Tomás
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Other authors:
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Universitat Politècnica de Catalunya. DCCG - Grup de recerca en geometria computacional, combinatoria i discreta |
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Abstract:
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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. |
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Abstract:
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Peer Reviewed |
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Subject(s):
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-Àrees temàtiques de la UPC::Informàtica::Intel·ligència artificial
-Computational geometry
-Dynamical geometry
-Groebner cover
-Locus
-Taxonomy
-Geometria computacional |
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Rights:
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Document type:
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Article - Published version
Conference Object |
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