Applying inversion to construct rational spiral curves
Differential Geometry
2017-08-29 v1
Abstract
A method is proposed to construct spiral curves by inversion of a spiral arc of parabola. The resulting curve is rational of 4-th order. Proper selection of the parabolic arc and parameters of inversion allows to match a wide range of boundary conditions, namely, tangents and curvatures at the endpoints, including those, assuming inflection.
Cite
@article{arxiv.0902.4834,
title = {Applying inversion to construct rational spiral curves},
author = {A. Kurnosenko},
journal= {arXiv preprint arXiv:0902.4834},
year = {2017}
}
Comments
18 pages, 11 figures