Two-point G${}^2$ Hermite interpolation with spirals by inversion of conics: summary

Abstract

The article completes the research of two-point G${}^2$ Hermite interpolation problem with spirals by inversion of conics. A simple algorithm is proposed to construct a family of 4th degree rational spirals, matching given G${}^2$ Hermite data. A possibility to reduce the degree to cubic is discussed.

arXiv comment18 pages, 8 figures