Abstract
AbstractIn this paper, we first summarize the existing algorithms for computing all the generalized asymptotes of a plane algebraic curve implicitly or parametrically defined. From these previous results, we derive a method that allows to easily compute the whole branch and all the generalized asymptotes of a “special” curve defined in n-dimensional space by a parametrization that is not necessarily rational. So, some new concepts and methods are established for this type of curves. The approach is based on the notion of perfect curves introduced from the concepts and results presented in previous papers.
Funder
Ministerio de Ciencia e Innovación
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Computational Mathematics,Geometry and Topology,Algebra and Number Theory,Analysis
Reference16 articles.
1. Arnold, V.I.: Mathematical Methods of Classical Mechanics, Second edition Springer, Berlin (1989)
2. Bazant, M.Z., Crowdy, D.: In: Yip, S. (ed.) Handbook of Materials Modeling. Springer, Berlin (2005)
3. Blasco, A., Pérez-Díaz, S.: Asymptotes and perfect curves. Comput. Aided Geom. Des. 31(2), 81–96 (2014)
4. Blasco, A., Pérez-Díaz, S.: Asymptotic behavior of an implicit algebraic plane curve. Comput. Aided Geom. Des. 31(7–8), 345–357 (2014)
5. Blasco, A., Pérez-Díaz, S.: Asymptotes of space curves. J. Comput. Appl. Math. 278, 231–247 (2015)
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