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- Centre National de la Recherche ScientifiqueFR38 papers
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- Max Planck Institute for Radio AstronomyDE19 papers
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6 papers · 1 filter
Algebraic and algorithmic aspects of radical parametrizations
J. Rafael Sendra, David Sevilla, Carlos Villarino
In this article algebraic constructions are introduced in order to study the variety defined by a radical parametrization (a tuple of functions involving complex numbers, varia…
A new method to compute the singularities of offsets to rational plane curves
Juan Gerardo Alcázar, Jorge Caravantes, Gema M. Diaz-Toca
Given a planar curve defined by means of a real rational parametrization, we prove that the affine values of the parameter generating the real singularities of the offset are real…
Characterizing the finiteness of the Hausdorff distance between two algebraic curves
Angel Blasco, Sonia Pérez-Díaz
In this paper, we present a characterization for the Hausdorff distance between two given algebraic curves in the -dimensional space (parametrically or implicitly defined) to be…
Asymptotes of Space Curves
Angel Blasco, Sonia Pérez-Díaz
In this paper, we generalize the results presented in [5] for the case of real algebraic space curves. More precisely, given an algebraic space curve C (parametrically or implicitl…
Parametrization of translational surfaces
Sonia Perez-Diaz, Liyong Shen
The algebraic translational surface is a typical modeling surface in computer aided design and architecture industry. In this paper, we give a necessary and sufficient condition fo…
Efficient Detection of Symmetries of Polynomially Parametrized Curves
Juan G. Alcazar
We present efficient algorithms for detecting central and mirror symmetry for the case of algebraic curves defined by means of polynomial parametrizations. The algorithms are based…