34 citations · 111 across the 16 of their papers we have counts for
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math.AG2012★ 25 cited
Detecting Symmetries of Rational Plane and Space Curves
J. G. Alcázar, C. Hermoso, G. Muntingh
This paper addresses the problem of determining the symmetries of a plane or space curve defined by a rational parametrization. We provide effective methods to compute the involuti…
math.AG2012★ 1 cited
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…
cs.SC2012★ 1 cited
On the Shape of Curves that are Rational in Polar Coordinates
J. G. Alcázar, G. M. Díaz-Toca
In this paper we provide a computational approach to the shape of curves which are rational in polar coordinates, i.e. which are defined by means of a parametrization (r(t),θ(t)) w…