Two-point G$^2$ Hermite interpolation with spirals by inversion of   conics: summary
  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. 
Alexey Kurnosenko
math.DG