Applying inversion to construct rational spiral curves
arXiv:0902.4834 · doi:10.1016/j.cagd.2009.12.004
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.
arXiv comment18 pages, 11 figures