Symmetry Detection of Rational Space Curves from their Curvature and Torsion
Journal article, Peer reviewed
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Original versionComputer Aided Geometric Design. 2015, 33 51-65. 10.1016/j.cagd.2015.01.003
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 (Alcázar et al., 2014b). To support this claim, we present an analysis of the arithmetic complexity of the algorithm and timings from an implementation in Sage.