Descripción
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This paper is framed within the problem of analyzing the rationality of the components of two classical geometric constructions, namely the offset and the conchoid to an algebraic plane curve and, in the affirmative case, the actual computation of parametrizations. We recall some of the basic definitions and main properties on offsets (see [13]), and conchoids (see [15]) as well as the algorithms for parametrizing their rational components (see [1] and [16], respectively). Moreover, we implement the basic ideas creating two packages in the computer algebra system Maple to analyze the rationality of conchoids and offset curves, as well as the corresponding help pages. In addition, we present a brief atlas where the offset and conchoids of several algebraic plane curves are obtained, their rationality analyzed, and parametrizations are provided using the created packages. | |
Internacional
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Si |
Nombre congreso
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12th International Conference on Artificial Intelligence and Symbolic Computation AISC 2014 |
Tipo de participación
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960 |
Lugar del congreso
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Sevilla, España |
Revisores
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Si |
ISBN o ISSN
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978-3-319-13769-8 |
DOI
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10.1007/978-3-319-13770-4_15 |
Fecha inicio congreso
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11/12/2014 |
Fecha fin congreso
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13/12/2014 |
Desde la página
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168 |
Hasta la página
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179 |
Título de las actas
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12th International Conference, AISC 2014, Seville, Spain, December 11-13, 2014. Proceedings - 884 - Lecture Notes in Computer Science - Springer |