%0 Journal Article
%T Symmetry Detection of Rational Space Curves from their Curvature and Torsion
%A Juan Gerardo Alc¨¢zar
%A Carlos Hermoso
%A Georg Muntingh
%J Mathematics
%D 2014
%I arXiv
%X We present a novel, deterministic, and efficient method to detect whether a given rational space curve is symmetric. By using well-known differential invariants of space curves, namely the curvature and torsion, the method is significantly faster, simpler, and more general than an earlier method addressing a similar problem. To support this claim, we present an analysis of the arithmetic complexity of the algorithm and timings from an implementation in Sage.
%U http://arxiv.org/abs/1406.1451v2