Software using the Gröbner Cover for geometrical loci computation and classification

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Identificadores
URI: http://hdl.handle.net/10902/5391
ISBN: 978-3-662-44198-5
ISBN: 978-3-662-44199-2
ISSN: 0302-9743
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Autoría
Abánades Astudillo, Miguel ÁngelAutoridad Unican; Botana Ferreiro, Francisco RamónAutoridad Unican; Montes, Antonio; Recio Muñiz, TomásAutoridad Unican
Fecha
2014
Derechos
© Springer-Verlag Berlin Heidelberg. The final publication is available at Springer via http://dx.doi.org/10.1007/978-3-662-44199-2_74
Publicado en
Lecture Notes in Computer Science, Vol. 8592, pp 492-499, (2014)
Editorial
Springer Berlin Heidelberg
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Palabras clave
Locus
Taxonomy
Dynamical Geometry
Groebner Cover
Resumen/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.
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