Applying inversion to construct rational spiral curves

Details Applying inversion to construct rational spiral curves Applying inversion to construct rational spiral curves

2009-02-27

arxiv.org/abs/0902.4834v1

Mathematics

Differential Geometry

18 pages, 11 figures

Scientific paper

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.

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