Superspirals - curves with monotonic curvature
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17/06/2020
Superspirals were proposed in 2012 by Prof. Rushan Ziatdinov
Family of superspirals with completely monotonic curvature given in terms of Gauss hypergeometric function
We present superspirals, a new and very general family of fair curves, whose radius of curvature is given in terms of a completely monotonic Gauss hypergeometric function. The superspirals are generalizations of log-aesthetic curves, as well as other curves whose radius of curvature is a particular case of a completely monotonic Gauss hypergeometric function. High-accuracy computation of a superspiral segment is performed by the Gauss–Kronrod integration method. The proposed curves, despite their complexity, are the candidates for generating , G2 and G3 non-linear superspiral splines.
https://www.sciencedirect.com/science/article/abs/pii/S0167839612000325
Family of superspirals with completely monotonic curvature given in terms of Gauss hypergeometric function We present superspirals, a new and very general family of fair curves, whose radius of curvature is given in terms of a completely monotonic Gauss hyp…